id	sid	tid	token	lemma	pos
ejpam-2317	1	1	compile	compile	NOUN
ejpam-2317	1	2	/	/	SYM
ejpam-2317	1	3	output.dvi	output.dvi	NOUN
ejpam-2317	1	4	european	european	ADJ
ejpam-2317	1	5	journal	journal	NOUN
ejpam-2317	1	6	of	of	ADP
ejpam-2317	1	7	pure	pure	ADJ
ejpam-2317	1	8	and	and	CCONJ
ejpam-2317	1	9	applied	apply	VERB
ejpam-2317	1	10	mathematics	mathematic	NOUN
ejpam-2317	1	11	vol	vol	NOUN
ejpam-2317	1	12	.	.	PROPN
ejpam-2317	2	1	9	9	NUM
ejpam-2317	2	2	,	,	PUNCT
ejpam-2317	2	3	no	no	INTJ
ejpam-2317	2	4	.	.	NOUN
ejpam-2317	2	5	3	3	NUM
ejpam-2317	2	6	,	,	PUNCT
ejpam-2317	2	7	2016	2016	NUM
ejpam-2317	2	8	,	,	PUNCT
ejpam-2317	2	9	292	292	NUM
ejpam-2317	2	10	-	-	SYM
ejpam-2317	2	11	304	304	NUM
ejpam-2317	2	12	issn	issn	PROPN
ejpam-2317	2	13	1307	1307	NUM
ejpam-2317	2	14	-	-	SYM
ejpam-2317	2	15	5543	5543	NUM
ejpam-2317	2	16	–	–	PUNCT
ejpam-2317	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-2317	2	18	hardy	hardy	ADJ
ejpam-2317	2	19	spaces	space	NOUN
ejpam-2317	2	20	on	on	ADP
ejpam-2317	2	21	the	the	DET
ejpam-2317	2	22	polydisk	polydisk	PROPN
ejpam-2317	2	23	khim	khim	PROPN
ejpam-2317	2	24	r.	r.	PROPN
ejpam-2317	2	25	shrestha	shrestha	PROPN
ejpam-2317	2	26	university	university	PROPN
ejpam-2317	2	27	of	of	ADP
ejpam-2317	2	28	great	great	ADJ
ejpam-2317	2	29	falls	fall	NOUN
ejpam-2317	2	30	,	,	PUNCT
ejpam-2317	2	31	1301	1301	NUM
ejpam-2317	2	32	20th	20th	PROPN
ejpam-2317	2	33	st	st	PROPN
ejpam-2317	2	34	s	s	PROPN
ejpam-2317	2	35	,	,	PUNCT
ejpam-2317	2	36	great	great	ADJ
ejpam-2317	2	37	falls	fall	NOUN
ejpam-2317	2	38	,	,	PUNCT
ejpam-2317	2	39	mt	mt	PROPN
ejpam-2317	2	40	59405	59405	NUM
ejpam-2317	2	41	abstract	abstract	NOUN
ejpam-2317	2	42	.	.	PUNCT
ejpam-2317	3	1	in	in	ADP
ejpam-2317	3	2	this	this	DET
ejpam-2317	3	3	paper	paper	NOUN
ejpam-2317	3	4	we	we	PRON
ejpam-2317	3	5	will	will	AUX
ejpam-2317	3	6	study	study	VERB
ejpam-2317	3	7	the	the	DET
ejpam-2317	3	8	boundary	boundary	ADJ
ejpam-2317	3	9	values	value	NOUN
ejpam-2317	3	10	properties	property	NOUN
ejpam-2317	3	11	of	of	ADP
ejpam-2317	3	12	the	the	DET
ejpam-2317	3	13	functions	function	NOUN
ejpam-2317	3	14	in	in	ADP
ejpam-2317	3	15	the	the	DET
ejpam-2317	3	16	hardy	hardy	ADJ
ejpam-2317	3	17	spaces	space	NOUN
ejpam-2317	3	18	;	;	PUNCT
ejpam-2317	3	19	generalize	generalize	VERB
ejpam-2317	3	20	the	the	DET
ejpam-2317	3	21	f.	f.	PROPN
ejpam-2317	3	22	and	and	CCONJ
ejpam-2317	3	23	m.	m.	NOUN
ejpam-2317	3	24	riesz	riesz	PROPN
ejpam-2317	3	25	theorem	theorem	VERB
ejpam-2317	3	26	to	to	ADP
ejpam-2317	3	27	higher	high	ADJ
ejpam-2317	3	28	dimensions	dimension	NOUN
ejpam-2317	3	29	;	;	PUNCT
ejpam-2317	3	30	discuss	discuss	VERB
ejpam-2317	3	31	the	the	DET
ejpam-2317	3	32	existence	existence	NOUN
ejpam-2317	3	33	of	of	ADP
ejpam-2317	3	34	boundary	boundary	ADJ
ejpam-2317	3	35	values	value	NOUN
ejpam-2317	3	36	of	of	ADP
ejpam-2317	3	37	the	the	DET
ejpam-2317	3	38	functions	function	NOUN
ejpam-2317	3	39	in	in	ADP
ejpam-2317	3	40	h	h	PROPN
ejpam-2317	3	41	p(dn	p(dn	PROPN
ejpam-2317	3	42	)	)	PUNCT
ejpam-2317	3	43	on	on	ADP
ejpam-2317	3	44	non	non	ADJ
ejpam-2317	3	45	-	-	ADJ
ejpam-2317	3	46	distinguished	distinguished	ADJ
ejpam-2317	3	47	boundary	boundary	ADJ
ejpam-2317	3	48	∂dn	∂dn	NOUN
ejpam-2317	3	49	\tn	\tn	PROPN
ejpam-2317	3	50	and	and	CCONJ
ejpam-2317	3	51	the	the	DET
ejpam-2317	3	52	intersection	intersection	NOUN
ejpam-2317	3	53	of	of	ADP
ejpam-2317	3	54	the	the	DET
ejpam-2317	3	55	spaces	space	NOUN
ejpam-2317	4	1	h	h	NOUN
ejpam-2317	4	2	p	p	X
ejpam-2317	4	3	u	u	PROPN
ejpam-2317	4	4	(	(	PUNCT
ejpam-2317	4	5	dn	dn	PROPN
ejpam-2317	4	6	)	)	PUNCT
ejpam-2317	4	7	.	.	PUNCT
ejpam-2317	5	1	2010	2010	NUM
ejpam-2317	5	2	mathematics	mathematic	NOUN
ejpam-2317	5	3	subject	subject	NOUN
ejpam-2317	5	4	classifications	classification	NOUN
ejpam-2317	5	5	:	:	PUNCT
ejpam-2317	5	6	32a35	32a35	NUM
ejpam-2317	5	7	,	,	PUNCT
ejpam-2317	5	8	32a40	32a40	NOUN
ejpam-2317	5	9	key	key	ADJ
ejpam-2317	5	10	words	word	NOUN
ejpam-2317	5	11	and	and	CCONJ
ejpam-2317	5	12	phrases	phrase	NOUN
ejpam-2317	5	13	:	:	PUNCT
ejpam-2317	5	14	poisson	poisson	PROPN
ejpam-2317	5	15	integral	integral	ADJ
ejpam-2317	5	16	,	,	PUNCT
ejpam-2317	5	17	boundary	boundary	ADJ
ejpam-2317	5	18	values	value	NOUN
ejpam-2317	5	19	,	,	PUNCT
ejpam-2317	5	20	exhaustion	exhaustion	NOUN
ejpam-2317	5	21	function	function	NOUN
ejpam-2317	5	22	1	1	NUM
ejpam-2317	5	23	.	.	PUNCT
ejpam-2317	6	1	introduction	introduction	NOUN
ejpam-2317	6	2	this	this	DET
ejpam-2317	6	3	paper	paper	NOUN
ejpam-2317	6	4	basically	basically	ADV
ejpam-2317	6	5	consists	consist	VERB
ejpam-2317	6	6	of	of	ADP
ejpam-2317	6	7	two	two	NUM
ejpam-2317	6	8	parts	part	NOUN
ejpam-2317	6	9	.	.	PUNCT
ejpam-2317	7	1	in	in	ADP
ejpam-2317	7	2	the	the	DET
ejpam-2317	7	3	first	first	ADJ
ejpam-2317	7	4	part	part	NOUN
ejpam-2317	7	5	,	,	PUNCT
ejpam-2317	7	6	consisting	consist	VERB
ejpam-2317	7	7	of	of	ADP
ejpam-2317	7	8	sections	section	NOUN
ejpam-2317	7	9	2	2	NUM
ejpam-2317	7	10	,	,	PUNCT
ejpam-2317	7	11	3	3	NUM
ejpam-2317	7	12	and	and	CCONJ
ejpam-2317	7	13	4	4	NUM
ejpam-2317	7	14	,	,	PUNCT
ejpam-2317	7	15	we	we	PRON
ejpam-2317	7	16	study	study	VERB
ejpam-2317	7	17	the	the	DET
ejpam-2317	7	18	properties	property	NOUN
ejpam-2317	7	19	of	of	ADP
ejpam-2317	7	20	the	the	DET
ejpam-2317	7	21	functions	function	NOUN
ejpam-2317	7	22	on	on	ADP
ejpam-2317	7	23	the	the	DET
ejpam-2317	7	24	classical	classical	ADJ
ejpam-2317	7	25	hardy	hardy	ADJ
ejpam-2317	7	26	spaces	space	NOUN
ejpam-2317	7	27	of	of	ADP
ejpam-2317	7	28	n	n	CCONJ
ejpam-2317	7	29	-	-	PUNCT
ejpam-2317	7	30	harmonic	harmonic	ADJ
ejpam-2317	7	31	functions	function	NOUN
ejpam-2317	7	32	and	and	CCONJ
ejpam-2317	7	33	the	the	DET
ejpam-2317	7	34	hardy	hardy	ADJ
ejpam-2317	7	35	spaces	space	NOUN
ejpam-2317	7	36	of	of	ADP
ejpam-2317	7	37	holomorphic	holomorphic	ADJ
ejpam-2317	7	38	functions	function	NOUN
ejpam-2317	7	39	on	on	ADP
ejpam-2317	7	40	the	the	DET
ejpam-2317	7	41	polydisk	polydisk	NOUN
ejpam-2317	7	42	.	.	PUNCT
ejpam-2317	8	1	in	in	ADP
ejpam-2317	8	2	section	section	NOUN
ejpam-2317	8	3	2	2	NUM
ejpam-2317	8	4	we	we	PRON
ejpam-2317	8	5	will	will	AUX
ejpam-2317	8	6	show	show	VERB
ejpam-2317	8	7	that	that	SCONJ
ejpam-2317	8	8	the	the	DET
ejpam-2317	8	9	functions	function	NOUN
ejpam-2317	8	10	in	in	ADP
ejpam-2317	8	11	the	the	DET
ejpam-2317	8	12	classical	classical	ADJ
ejpam-2317	8	13	hardy	hardy	ADJ
ejpam-2317	8	14	spaces	space	NOUN
ejpam-2317	8	15	can	can	AUX
ejpam-2317	8	16	be	be	AUX
ejpam-2317	8	17	restored	restore	VERB
ejpam-2317	8	18	by	by	ADP
ejpam-2317	8	19	the	the	DET
ejpam-2317	8	20	poisson	poisson	NOUN
ejpam-2317	8	21	integral	integral	ADJ
ejpam-2317	8	22	of	of	ADP
ejpam-2317	8	23	its	its	PRON
ejpam-2317	8	24	radial	radial	ADJ
ejpam-2317	8	25	limit	limit	NOUN
ejpam-2317	8	26	.	.	PUNCT
ejpam-2317	9	1	in	in	ADP
ejpam-2317	9	2	section	section	NOUN
ejpam-2317	9	3	3	3	NUM
ejpam-2317	9	4	we	we	PRON
ejpam-2317	9	5	will	will	AUX
ejpam-2317	9	6	restate	restate	VERB
ejpam-2317	9	7	and	and	CCONJ
ejpam-2317	9	8	prove	prove	VERB
ejpam-2317	9	9	the	the	DET
ejpam-2317	9	10	celebrated	celebrated	ADJ
ejpam-2317	9	11	f.	f.	PROPN
ejpam-2317	9	12	and	and	CCONJ
ejpam-2317	9	13	m.	m.	NOUN
ejpam-2317	9	14	riesz	riesz	PROPN
ejpam-2317	9	15	theorem	theorem	VERB
ejpam-2317	9	16	to	to	ADP
ejpam-2317	9	17	higher	high	ADJ
ejpam-2317	9	18	dimensions	dimension	NOUN
ejpam-2317	9	19	.	.	PUNCT
ejpam-2317	10	1	in	in	ADP
ejpam-2317	10	2	section	section	NOUN
ejpam-2317	10	3	4	4	NUM
ejpam-2317	10	4	we	we	PRON
ejpam-2317	10	5	will	will	AUX
ejpam-2317	10	6	study	study	VERB
ejpam-2317	10	7	the	the	DET
ejpam-2317	10	8	boundary	boundary	ADJ
ejpam-2317	10	9	values	value	NOUN
ejpam-2317	10	10	of	of	ADP
ejpam-2317	10	11	the	the	DET
ejpam-2317	10	12	functions	function	NOUN
ejpam-2317	10	13	in	in	ADP
ejpam-2317	10	14	h	h	PROPN
ejpam-2317	10	15	p(d	p(d	PROPN
ejpam-2317	10	16	)	)	PUNCT
ejpam-2317	10	17	on	on	ADP
ejpam-2317	10	18	the	the	DET
ejpam-2317	10	19	non	non	ADJ
ejpam-2317	10	20	-	-	ADJ
ejpam-2317	10	21	distinguished	distinguished	ADJ
ejpam-2317	10	22	boundary	boundary	NOUN
ejpam-2317	10	23	,	,	PUNCT
ejpam-2317	10	24	∂dn	∂dn	ADJ
ejpam-2317	10	25	\tn	\tn	PROPN
ejpam-2317	10	26	.	.	PUNCT
ejpam-2317	11	1	the	the	DET
ejpam-2317	11	2	second	second	ADJ
ejpam-2317	11	3	part	part	NOUN
ejpam-2317	11	4	of	of	ADP
ejpam-2317	11	5	this	this	DET
ejpam-2317	11	6	paper	paper	NOUN
ejpam-2317	11	7	consists	consist	VERB
ejpam-2317	11	8	of	of	ADP
ejpam-2317	11	9	section	section	NOUN
ejpam-2317	11	10	5	5	NUM
ejpam-2317	11	11	.	.	PUNCT
ejpam-2317	12	1	in	in	ADP
ejpam-2317	12	2	this	this	DET
ejpam-2317	12	3	section	section	NOUN
ejpam-2317	12	4	we	we	PRON
ejpam-2317	12	5	study	study	VERB
ejpam-2317	12	6	the	the	DET
ejpam-2317	12	7	poletsky	poletsky	NOUN
ejpam-2317	12	8	–	–	PUNCT
ejpam-2317	12	9	stessin	stessin	VERB
ejpam-2317	12	10	hardy	hardy	ADJ
ejpam-2317	12	11	spaces	space	NOUN
ejpam-2317	13	1	h	h	NOUN
ejpam-2317	13	2	p	p	X
ejpam-2317	13	3	u	u	X
ejpam-2317	13	4	(	(	PUNCT
ejpam-2317	13	5	d	d	PROPN
ejpam-2317	13	6	2	2	NUM
ejpam-2317	13	7	)	)	PUNCT
ejpam-2317	13	8	on	on	ADP
ejpam-2317	13	9	bidisk	bidisk	NOUN
ejpam-2317	13	10	.	.	PUNCT
ejpam-2317	14	1	we	we	PRON
ejpam-2317	14	2	mainly	mainly	ADV
ejpam-2317	14	3	establish	establish	VERB
ejpam-2317	14	4	two	two	NUM
ejpam-2317	14	5	things	thing	NOUN
ejpam-2317	14	6	there	there	PRON
ejpam-2317	14	7	are	be	VERB
ejpam-2317	14	8	nontrivial	nontrivial	ADJ
ejpam-2317	14	9	poletsky	poletsky	NOUN
ejpam-2317	14	10	–	–	PUNCT
ejpam-2317	14	11	stessin	stessin	VERB
ejpam-2317	14	12	hardy	hardy	ADJ
ejpam-2317	14	13	spaces	space	NOUN
ejpam-2317	14	14	and	and	CCONJ
ejpam-2317	14	15	the	the	DET
ejpam-2317	14	16	intersection	intersection	NOUN
ejpam-2317	14	17	of	of	ADP
ejpam-2317	14	18	the	the	DET
ejpam-2317	14	19	poletsky	poletsky	NOUN
ejpam-2317	14	20	–	–	PUNCT
ejpam-2317	14	21	stessin	stessin	VERB
ejpam-2317	14	22	hardy	hardy	ADJ
ejpam-2317	14	23	spaces	space	NOUN
ejpam-2317	14	24	over	over	ADP
ejpam-2317	14	25	all	all	DET
ejpam-2317	14	26	exhaustion	exhaustion	NOUN
ejpam-2317	14	27	functions	function	NOUN
ejpam-2317	14	28	is	be	AUX
ejpam-2317	14	29	h∞(d2	h∞(d2	PROPN
ejpam-2317	14	30	)	)	PUNCT
ejpam-2317	14	31	,	,	PUNCT
ejpam-2317	14	32	the	the	DET
ejpam-2317	14	33	space	space	NOUN
ejpam-2317	14	34	of	of	ADP
ejpam-2317	14	35	bounded	bounded	ADJ
ejpam-2317	14	36	holomorphic	holomorphic	ADJ
ejpam-2317	14	37	functions	function	NOUN
ejpam-2317	14	38	on	on	ADP
ejpam-2317	14	39	d2	d2	PROPN
ejpam-2317	14	40	.	.	PUNCT
ejpam-2317	15	1	2	2	NUM
ejpam-2317	15	2	.	.	X
ejpam-2317	15	3	hardy	hardy	ADJ
ejpam-2317	15	4	spaces	space	NOUN
ejpam-2317	15	5	and	and	CCONJ
ejpam-2317	15	6	poisson	poisson	NOUN
ejpam-2317	15	7	integral	integral	ADJ
ejpam-2317	15	8	formula	formula	NOUN
ejpam-2317	15	9	an	an	DET
ejpam-2317	15	10	n	n	ADV
ejpam-2317	15	11	-	-	PUNCT
ejpam-2317	15	12	harmonic	harmonic	ADJ
ejpam-2317	15	13	function	function	NOUN
ejpam-2317	15	14	u	u	PROPN
ejpam-2317	15	15	ondn	ondn	ADJ
ejpam-2317	15	16	is	be	AUX
ejpam-2317	15	17	a	a	DET
ejpam-2317	15	18	function	function	NOUN
ejpam-2317	15	19	which	which	PRON
ejpam-2317	15	20	is	be	AUX
ejpam-2317	15	21	harmonic	harmonic	ADJ
ejpam-2317	15	22	in	in	ADP
ejpam-2317	15	23	each	each	DET
ejpam-2317	15	24	variable	variable	NOUN
ejpam-2317	15	25	separately	separately	ADV
ejpam-2317	15	26	.	.	PUNCT
ejpam-2317	16	1	denote	denote	VERB
ejpam-2317	16	2	by	by	ADP
ejpam-2317	16	3	hp(dn	hp(dn	PROPN
ejpam-2317	16	4	)	)	PUNCT
ejpam-2317	16	5	the	the	DET
ejpam-2317	16	6	space	space	NOUN
ejpam-2317	16	7	of	of	ADP
ejpam-2317	16	8	all	all	DET
ejpam-2317	16	9	n	n	CCONJ
ejpam-2317	16	10	-	-	PUNCT
ejpam-2317	16	11	harmonic	harmonic	ADJ
ejpam-2317	16	12	functions	function	NOUN
ejpam-2317	16	13	satisfying	satisfy	VERB
ejpam-2317	16	14	sup	sup	PROPN
ejpam-2317	16	15	0≤r<1	0≤r<1	PROPN
ejpam-2317	16	16	∫	∫	PROPN
ejpam-2317	16	17	tn	tn	PROPN
ejpam-2317	16	18	|ur(ζ)|	|ur(ζ)|	PROPN
ejpam-2317	16	19	p	p	NOUN
ejpam-2317	16	20	dm(ζ)<∞	dm(ζ)<∞	NOUN
ejpam-2317	16	21	(	(	PUNCT
ejpam-2317	16	22	1	1	NUM
ejpam-2317	16	23	)	)	PUNCT
ejpam-2317	16	24	email	email	NOUN
ejpam-2317	16	25	address	address	NOUN
ejpam-2317	16	26	:	:	PUNCT
ejpam-2317	16	27	khim.shrestha@ugf.edu	khim.shrestha@ugf.edu	PROPN
ejpam-2317	16	28	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2317	17	1	292	292	NUM
ejpam-2317	17	2	c	c	NOUN
ejpam-2317	17	3	©	©	PROPN
ejpam-2317	17	4	2016	2016	NUM
ejpam-2317	17	5	ejpam	ejpam	VERB
ejpam-2317	17	6	all	all	DET
ejpam-2317	17	7	rights	right	NOUN
ejpam-2317	17	8	reserved	reserve	VERB
ejpam-2317	17	9	.	.	PUNCT
ejpam-2317	18	1	k.	k.	PROPN
ejpam-2317	18	2	shrestha	shrestha	PROPN
ejpam-2317	18	3	/	/	SYM
ejpam-2317	18	4	eur	eur	PROPN
ejpam-2317	18	5	.	.	PUNCT
ejpam-2317	19	1	j.	j.	PROPN
ejpam-2317	19	2	pure	pure	PROPN
ejpam-2317	19	3	appl	appl	PROPN
ejpam-2317	19	4	.	.	PROPN
ejpam-2317	19	5	math	math	PROPN
ejpam-2317	19	6	,	,	PUNCT
ejpam-2317	19	7	9	9	NUM
ejpam-2317	19	8	(	(	PUNCT
ejpam-2317	19	9	2016	2016	NUM
ejpam-2317	19	10	)	)	PUNCT
ejpam-2317	19	11	,	,	PUNCT
ejpam-2317	19	12	292	292	NUM
ejpam-2317	19	13	-	-	SYM
ejpam-2317	19	14	304	304	NUM
ejpam-2317	19	15	293	293	NUM
ejpam-2317	19	16	where	where	SCONJ
ejpam-2317	19	17	ur(ζ	ur(ζ	NOUN
ejpam-2317	19	18	)	)	PUNCT
ejpam-2317	19	19	=	=	SYM
ejpam-2317	19	20	u(rζ	u(rζ	PROPN
ejpam-2317	19	21	)	)	PUNCT
ejpam-2317	19	22	and	and	CCONJ
ejpam-2317	19	23	dm	dm	PROPN
ejpam-2317	19	24	is	be	AUX
ejpam-2317	19	25	the	the	DET
ejpam-2317	19	26	normalized	normalize	VERB
ejpam-2317	19	27	lebesgue	lebesgue	NOUN
ejpam-2317	19	28	measure	measure	NOUN
ejpam-2317	19	29	on	on	ADP
ejpam-2317	19	30	tn	tn	PROPN
ejpam-2317	19	31	.	.	PUNCT
ejpam-2317	20	1	the	the	DET
ejpam-2317	20	2	p	p	PROPN
ejpam-2317	20	3	-th	-th	NOUN
ejpam-2317	20	4	root	root	NOUN
ejpam-2317	20	5	of	of	ADP
ejpam-2317	20	6	(	(	PUNCT
ejpam-2317	20	7	1	1	X
ejpam-2317	20	8	)	)	PUNCT
ejpam-2317	20	9	defines	define	VERB
ejpam-2317	20	10	a	a	DET
ejpam-2317	20	11	norm	norm	NOUN
ejpam-2317	20	12	on	on	ADP
ejpam-2317	20	13	hp(dn	hp(dn	PROPN
ejpam-2317	20	14	)	)	PUNCT
ejpam-2317	20	15	when	when	SCONJ
ejpam-2317	20	16	p	p	NOUN
ejpam-2317	20	17	≥	≥	NOUN
ejpam-2317	20	18	1	1	NUM
ejpam-2317	20	19	.	.	PUNCT
ejpam-2317	21	1	with	with	ADP
ejpam-2317	21	2	this	this	DET
ejpam-2317	21	3	norm	norm	NOUN
ejpam-2317	21	4	hp(dn	hp(dn	PROPN
ejpam-2317	21	5	)	)	PUNCT
ejpam-2317	21	6	is	be	AUX
ejpam-2317	21	7	banach	banach	ADV
ejpam-2317	21	8	.	.	PUNCT
ejpam-2317	22	1	we	we	PRON
ejpam-2317	22	2	will	will	AUX
ejpam-2317	22	3	use	use	VERB
ejpam-2317	22	4	the	the	DET
ejpam-2317	22	5	following	following	ADJ
ejpam-2317	22	6	notations	notation	NOUN
ejpam-2317	22	7	:	:	PUNCT
ejpam-2317	22	8	z	z	NOUN
ejpam-2317	22	9	=(	=(	NOUN
ejpam-2317	22	10	z1	z1	PROPN
ejpam-2317	22	11	,	,	PUNCT
ejpam-2317	22	12	.	.	PUNCT
ejpam-2317	22	13	.	.	PUNCT
ejpam-2317	23	1	.	.	PUNCT
ejpam-2317	24	1	,	,	PUNCT
ejpam-2317	24	2	zn	zn	X
ejpam-2317	24	3	)	)	PUNCT
ejpam-2317	24	4	ζ	ζ	PROPN
ejpam-2317	24	5	=(	=(	NOUN
ejpam-2317	24	6	ζ1	ζ1	PROPN
ejpam-2317	24	7	,	,	PUNCT
ejpam-2317	24	8	.	.	PUNCT
ejpam-2317	24	9	.	.	PUNCT
ejpam-2317	25	1	.	.	PUNCT
ejpam-2317	26	1	,	,	PUNCT
ejpam-2317	26	2	ζn	ζn	X
ejpam-2317	26	3	)	)	PUNCT
ejpam-2317	26	4	p(z	p(z	NOUN
ejpam-2317	26	5	,	,	PUNCT
ejpam-2317	26	6	ζ	ζ	NOUN
ejpam-2317	26	7	)	)	PUNCT
ejpam-2317	26	8	=	=	NUM
ejpam-2317	27	1	p(z1,ζ1	p(z1,ζ1	NOUN
ejpam-2317	27	2	)	)	PUNCT
ejpam-2317	27	3	.	.	PUNCT
ejpam-2317	27	4	.	.	PUNCT
ejpam-2317	27	5	.	.	PUNCT
ejpam-2317	28	1	p(zn	p(zn	PROPN
ejpam-2317	28	2	,	,	PUNCT
ejpam-2317	28	3	ζn	ζn	NOUN
ejpam-2317	28	4	)	)	PUNCT
ejpam-2317	28	5	where	where	SCONJ
ejpam-2317	28	6	p(z	p(z	NOUN
ejpam-2317	28	7	,	,	PUNCT
ejpam-2317	28	8	ζ	ζ	NOUN
ejpam-2317	28	9	)	)	PUNCT
ejpam-2317	28	10	is	be	AUX
ejpam-2317	28	11	the	the	DET
ejpam-2317	28	12	poisson	poisson	NOUN
ejpam-2317	28	13	kernel	kernel	PROPN
ejpam-2317	28	14	and	and	CCONJ
ejpam-2317	28	15	p(z	p(z	PROPN
ejpam-2317	28	16	j	j	PROPN
ejpam-2317	28	17	,	,	PUNCT
ejpam-2317	28	18	ζ	ζ	PROPN
ejpam-2317	28	19	j	j	NOUN
ejpam-2317	28	20	)	)	PUNCT
ejpam-2317	28	21	=	=	SYM
ejpam-2317	28	22	re	re	X
ejpam-2317	28	23	�	�	PROPN
ejpam-2317	28	24	ζ	ζ	PROPN
ejpam-2317	28	25	j	j	PROPN
ejpam-2317	29	1	+	+	CCONJ
ejpam-2317	29	2	z	z	PROPN
ejpam-2317	29	3	j	j	PROPN
ejpam-2317	29	4	ζ	ζ	X
ejpam-2317	29	5	j	j	NOUN
ejpam-2317	29	6	−	−	PROPN
ejpam-2317	29	7	z	z	PROPN
ejpam-2317	29	8	j	j	PROPN
ejpam-2317	29	9	�	�	PROPN
ejpam-2317	29	10	=	=	SYM
ejpam-2317	29	11	1−	1−	NUM
ejpam-2317	29	12	|z	|z	PROPN
ejpam-2317	29	13	j	j	PROPN
ejpam-2317	29	14	|	|	ADV
ejpam-2317	29	15	2	2	NUM
ejpam-2317	29	16	|ζ	|ζ	PROPN
ejpam-2317	29	17	j	j	PROPN
ejpam-2317	30	1	−	−	PROPN
ejpam-2317	30	2	z	z	PROPN
ejpam-2317	30	3	j	j	PROPN
ejpam-2317	30	4	|2	|2	NUM
ejpam-2317	30	5	,	,	PUNCT
ejpam-2317	30	6	j	j	PROPN
ejpam-2317	30	7	=	=	SYM
ejpam-2317	30	8	1	1	NUM
ejpam-2317	30	9	,	,	PUNCT
ejpam-2317	30	10	.	.	PUNCT
ejpam-2317	30	11	.	.	PUNCT
ejpam-2317	30	12	.	.	PUNCT
ejpam-2317	31	1	,	,	PUNCT
ejpam-2317	31	2	n.	n.	PROPN
ejpam-2317	31	3	theorem	theorem	VERB
ejpam-2317	31	4	1	1	X
ejpam-2317	31	5	.	.	PUNCT
ejpam-2317	32	1	let	let	VERB
ejpam-2317	32	2	u	u	PROPN
ejpam-2317	32	3	∈	∈	PROPN
ejpam-2317	32	4	hp(dn	hp(dn	PROPN
ejpam-2317	32	5	)	)	PUNCT
ejpam-2317	32	6	,	,	PUNCT
ejpam-2317	32	7	p	p	X
ejpam-2317	32	8	>	>	X
ejpam-2317	32	9	1	1	NUM
ejpam-2317	32	10	.	.	PUNCT
ejpam-2317	33	1	then	then	ADV
ejpam-2317	33	2	there	there	PRON
ejpam-2317	33	3	exists	exist	VERB
ejpam-2317	33	4	a	a	DET
ejpam-2317	33	5	function	function	NOUN
ejpam-2317	33	6	f	f	PROPN
ejpam-2317	33	7	∈	∈	PROPN
ejpam-2317	33	8	lp(tn	lp(tn	PROPN
ejpam-2317	33	9	)	)	PUNCT
ejpam-2317	33	10	such	such	ADJ
ejpam-2317	33	11	that	that	SCONJ
ejpam-2317	33	12	u(z	u(z	NOUN
ejpam-2317	33	13	)	)	PUNCT
ejpam-2317	34	1	=	=	SYM
ejpam-2317	34	2	∫	∫	PROPN
ejpam-2317	35	1	tn	tn	PROPN
ejpam-2317	35	2	p(z	p(z	PROPN
ejpam-2317	35	3	,	,	PUNCT
ejpam-2317	35	4	ζ	ζ	NOUN
ejpam-2317	35	5	)	)	PUNCT
ejpam-2317	35	6	f	f	NOUN
ejpam-2317	35	7	(	(	PUNCT
ejpam-2317	35	8	ζ	ζ	NOUN
ejpam-2317	35	9	)	)	PUNCT
ejpam-2317	35	10	dm(ζ	dm(ζ	NOUN
ejpam-2317	35	11	)	)	PUNCT
ejpam-2317	35	12	.	.	PUNCT
ejpam-2317	36	1	proof	proof	NOUN
ejpam-2317	36	2	.	.	PUNCT
ejpam-2317	37	1	take	take	VERB
ejpam-2317	37	2	r	r	NOUN
ejpam-2317	37	3	j	j	PROPN
ejpam-2317	37	4	ր	ր	PROPN
ejpam-2317	37	5	1	1	NUM
ejpam-2317	37	6	.	.	PUNCT
ejpam-2317	38	1	then	then	ADV
ejpam-2317	38	2	(	(	PUNCT
ejpam-2317	38	3	1	1	X
ejpam-2317	38	4	)	)	PUNCT
ejpam-2317	38	5	implies	imply	VERB
ejpam-2317	38	6	that	that	SCONJ
ejpam-2317	38	7	there	there	PRON
ejpam-2317	38	8	is	be	VERB
ejpam-2317	38	9	a	a	DET
ejpam-2317	38	10	weakly	weakly	ADJ
ejpam-2317	38	11	convergent	convergent	ADJ
ejpam-2317	38	12	subsequence	subsequence	NOUN
ejpam-2317	38	13	of	of	ADP
ejpam-2317	38	14	ur	ur	INTJ
ejpam-2317	38	15	j	j	PROPN
ejpam-2317	38	16	.	.	PUNCT
ejpam-2317	39	1	we	we	PRON
ejpam-2317	39	2	will	will	AUX
ejpam-2317	39	3	write	write	VERB
ejpam-2317	39	4	the	the	DET
ejpam-2317	39	5	subsequence	subsequence	NOUN
ejpam-2317	39	6	ur	ur	INTJ
ejpam-2317	39	7	j	j	PROPN
ejpam-2317	39	8	just	just	ADV
ejpam-2317	39	9	to	to	PART
ejpam-2317	39	10	avoid	avoid	VERB
ejpam-2317	39	11	the	the	DET
ejpam-2317	39	12	sub	sub	NOUN
ejpam-2317	39	13	-	-	NOUN
ejpam-2317	39	14	subscript	subscript	ADJ
ejpam-2317	39	15	.	.	PUNCT
ejpam-2317	40	1	hence	hence	ADV
ejpam-2317	40	2	for	for	ADP
ejpam-2317	40	3	g	g	PROPN
ejpam-2317	40	4	∈	∈	PROPN
ejpam-2317	40	5	lq(tn	lq(tn	PROPN
ejpam-2317	40	6	)	)	PUNCT
ejpam-2317	40	7	g	g	PROPN
ejpam-2317	40	8	7→	7→	PROPN
ejpam-2317	41	1	lim	lim	PROPN
ejpam-2317	41	2	j→∞	j→∞	PROPN
ejpam-2317	41	3	∫	∫	PROPN
ejpam-2317	41	4	tn	tn	PROPN
ejpam-2317	41	5	g(ζ)ur	g(ζ)ur	PROPN
ejpam-2317	41	6	j	j	PROPN
ejpam-2317	41	7	(	(	PUNCT
ejpam-2317	41	8	ζ	ζ	NOUN
ejpam-2317	41	9	)	)	PUNCT
ejpam-2317	41	10	dm(ζ	dm(ζ	NOUN
ejpam-2317	41	11	)	)	PUNCT
ejpam-2317	41	12	is	be	AUX
ejpam-2317	41	13	a	a	DET
ejpam-2317	41	14	linear	linear	ADJ
ejpam-2317	41	15	functional	functional	ADJ
ejpam-2317	41	16	on	on	ADP
ejpam-2317	41	17	lq(tn	lq(tn	PROPN
ejpam-2317	41	18	)	)	PUNCT
ejpam-2317	41	19	.	.	PUNCT
ejpam-2317	42	1	by	by	ADP
ejpam-2317	42	2	riesz	riesz	PROPN
ejpam-2317	42	3	theorem	theorem	NOUN
ejpam-2317	42	4	there	there	PRON
ejpam-2317	42	5	exists	exist	VERB
ejpam-2317	42	6	an	an	DET
ejpam-2317	42	7	f	f	PROPN
ejpam-2317	42	8	∈	∈	PROPN
ejpam-2317	42	9	lp(tn	lp(tn	PROPN
ejpam-2317	42	10	)	)	PUNCT
ejpam-2317	42	11	such	such	ADJ
ejpam-2317	42	12	that	that	SCONJ
ejpam-2317	42	13	lim	lim	PROPN
ejpam-2317	42	14	j→∞	j→∞	NUM
ejpam-2317	42	15	∫	∫	PROPN
ejpam-2317	42	16	tn	tn	PROPN
ejpam-2317	42	17	g(ζ)ur	g(ζ)ur	PROPN
ejpam-2317	42	18	j	j	PROPN
ejpam-2317	42	19	(	(	PUNCT
ejpam-2317	42	20	ζ	ζ	NOUN
ejpam-2317	42	21	)	)	PUNCT
ejpam-2317	42	22	dm(ζ	dm(ζ	NOUN
ejpam-2317	42	23	)	)	PUNCT
ejpam-2317	43	1	=	=	SYM
ejpam-2317	43	2	∫	∫	PROPN
ejpam-2317	43	3	tn	tn	PROPN
ejpam-2317	43	4	g(ζ	g(ζ	PROPN
ejpam-2317	43	5	)	)	PUNCT
ejpam-2317	44	1	f	f	NOUN
ejpam-2317	44	2	(	(	PUNCT
ejpam-2317	44	3	ζ	ζ	NOUN
ejpam-2317	44	4	)	)	PUNCT
ejpam-2317	44	5	dm(ζ	dm(ζ	NOUN
ejpam-2317	44	6	)	)	PUNCT
ejpam-2317	44	7	.	.	PUNCT
ejpam-2317	45	1	now	now	ADV
ejpam-2317	45	2	take	take	VERB
ejpam-2317	45	3	g(ζ	g(ζ	PROPN
ejpam-2317	45	4	)	)	PUNCT
ejpam-2317	46	1	=	=	SYM
ejpam-2317	46	2	p(z	p(z	NOUN
ejpam-2317	46	3	,	,	PUNCT
ejpam-2317	46	4	ζ	ζ	NOUN
ejpam-2317	46	5	)	)	PUNCT
ejpam-2317	46	6	.	.	PUNCT
ejpam-2317	47	1	then	then	ADV
ejpam-2317	47	2	u(z	u(z	NOUN
ejpam-2317	47	3	)	)	PUNCT
ejpam-2317	48	1	=	=	SYM
ejpam-2317	48	2	lim	lim	PROPN
ejpam-2317	48	3	j→∞	j→∞	PROPN
ejpam-2317	48	4	ur	ur	INTJ
ejpam-2317	48	5	j	j	PROPN
ejpam-2317	48	6	(	(	PUNCT
ejpam-2317	48	7	z	z	NOUN
ejpam-2317	48	8	)	)	PUNCT
ejpam-2317	49	1	=	=	SYM
ejpam-2317	49	2	lim	lim	PROPN
ejpam-2317	49	3	j→∞	j→∞	PROPN
ejpam-2317	49	4	∫	∫	PROPN
ejpam-2317	49	5	tn	tn	PROPN
ejpam-2317	49	6	p(z	p(z	PROPN
ejpam-2317	49	7	,	,	PUNCT
ejpam-2317	49	8	ζ)ur	ζ)ur	PROPN
ejpam-2317	49	9	j	j	PROPN
ejpam-2317	49	10	(	(	PUNCT
ejpam-2317	49	11	ζ	ζ	NOUN
ejpam-2317	49	12	)	)	PUNCT
ejpam-2317	49	13	dm=	dm=	NOUN
ejpam-2317	49	14	∫	∫	PROPN
ejpam-2317	49	15	tn	tn	PROPN
ejpam-2317	50	1	p(z	p(z	PROPN
ejpam-2317	50	2	,	,	PUNCT
ejpam-2317	50	3	ζ	ζ	NOUN
ejpam-2317	50	4	)	)	PUNCT
ejpam-2317	50	5	f	f	NOUN
ejpam-2317	50	6	(	(	PUNCT
ejpam-2317	50	7	ζ	ζ	NOUN
ejpam-2317	50	8	)	)	PUNCT
ejpam-2317	50	9	dm(ζ	dm(ζ	NOUN
ejpam-2317	50	10	)	)	PUNCT
ejpam-2317	50	11	.	.	PUNCT
ejpam-2317	51	1	the	the	DET
ejpam-2317	51	2	second	second	ADJ
ejpam-2317	51	3	equality	equality	NOUN
ejpam-2317	51	4	above	above	ADV
ejpam-2317	51	5	follows	follow	VERB
ejpam-2317	51	6	from	from	ADP
ejpam-2317	51	7	[	[	X
ejpam-2317	51	8	7	7	NUM
ejpam-2317	51	9	,	,	PUNCT
ejpam-2317	51	10	theorem	theorem	VERB
ejpam-2317	51	11	2.1.2	2.1.2	NUM
ejpam-2317	51	12	]	]	PUNCT
ejpam-2317	51	13	.	.	PUNCT
ejpam-2317	52	1	what	what	PRON
ejpam-2317	52	2	makes	make	VERB
ejpam-2317	52	3	the	the	DET
ejpam-2317	52	4	above	above	ADJ
ejpam-2317	52	5	proof	proof	NOUN
ejpam-2317	52	6	work	work	NOUN
ejpam-2317	52	7	is	be	AUX
ejpam-2317	52	8	the	the	DET
ejpam-2317	52	9	duality	duality	NOUN
ejpam-2317	52	10	of	of	ADP
ejpam-2317	52	11	lp	lp	ADJ
ejpam-2317	52	12	spaces	space	NOUN
ejpam-2317	52	13	.	.	PUNCT
ejpam-2317	53	1	since	since	SCONJ
ejpam-2317	53	2	l∞	l∞	NOUN
ejpam-2317	53	3	is	be	AUX
ejpam-2317	53	4	the	the	DET
ejpam-2317	53	5	dual	dual	ADJ
ejpam-2317	53	6	of	of	ADP
ejpam-2317	53	7	l1	l1	PROPN
ejpam-2317	53	8	,	,	PUNCT
ejpam-2317	53	9	the	the	DET
ejpam-2317	53	10	same	same	ADJ
ejpam-2317	53	11	result	result	NOUN
ejpam-2317	53	12	holds	hold	VERB
ejpam-2317	53	13	with	with	ADP
ejpam-2317	53	14	the	the	DET
ejpam-2317	53	15	same	same	ADJ
ejpam-2317	53	16	proof	proof	NOUN
ejpam-2317	53	17	for	for	ADP
ejpam-2317	53	18	p	p	PROPN
ejpam-2317	53	19	=	=	PRON
ejpam-2317	53	20	∞.	∞.	PROPN
ejpam-2317	53	21	of	of	ADP
ejpam-2317	53	22	course	course	NOUN
ejpam-2317	53	23	we	we	PRON
ejpam-2317	53	24	have	have	VERB
ejpam-2317	53	25	to	to	PART
ejpam-2317	53	26	change	change	VERB
ejpam-2317	53	27	the	the	DET
ejpam-2317	53	28	statement	statement	NOUN
ejpam-2317	53	29	accordingly	accordingly	ADV
ejpam-2317	53	30	.	.	PUNCT
ejpam-2317	54	1	but	but	CCONJ
ejpam-2317	54	2	unfortunately	unfortunately	ADV
ejpam-2317	54	3	l1	l1	PROPN
ejpam-2317	54	4	is	be	AUX
ejpam-2317	54	5	not	not	PART
ejpam-2317	54	6	dual	dual	ADJ
ejpam-2317	54	7	of	of	ADP
ejpam-2317	54	8	anything	anything	PRON
ejpam-2317	54	9	,	,	PUNCT
ejpam-2317	54	10	we	we	PRON
ejpam-2317	54	11	do	do	AUX
ejpam-2317	54	12	n’t	not	PART
ejpam-2317	54	13	have	have	VERB
ejpam-2317	54	14	the	the	DET
ejpam-2317	54	15	same	same	ADJ
ejpam-2317	54	16	result	result	NOUN
ejpam-2317	54	17	for	for	ADP
ejpam-2317	54	18	p	p	NOUN
ejpam-2317	54	19	=	=	NOUN
ejpam-2317	54	20	1	1	NUM
ejpam-2317	54	21	.	.	PUNCT
ejpam-2317	55	1	instead	instead	ADV
ejpam-2317	55	2	,	,	PUNCT
ejpam-2317	55	3	since	since	SCONJ
ejpam-2317	55	4	the	the	DET
ejpam-2317	55	5	space	space	NOUN
ejpam-2317	55	6	of	of	ADP
ejpam-2317	55	7	finite	finite	PROPN
ejpam-2317	55	8	signed	sign	VERB
ejpam-2317	55	9	measures	measure	NOUN
ejpam-2317	55	10	on	on	ADP
ejpam-2317	55	11	tn	tn	NOUN
ejpam-2317	55	12	is	be	AUX
ejpam-2317	55	13	dual	dual	ADJ
ejpam-2317	55	14	of	of	ADP
ejpam-2317	55	15	the	the	DET
ejpam-2317	55	16	space	space	NOUN
ejpam-2317	55	17	of	of	ADP
ejpam-2317	55	18	continuous	continuous	ADJ
ejpam-2317	55	19	functions	function	NOUN
ejpam-2317	55	20	c(tn	c(tn	NOUN
ejpam-2317	55	21	)	)	PUNCT
ejpam-2317	55	22	we	we	PRON
ejpam-2317	55	23	have	have	VERB
ejpam-2317	55	24	the	the	DET
ejpam-2317	55	25	following	follow	VERB
ejpam-2317	55	26	result	result	NOUN
ejpam-2317	55	27	from	from	ADP
ejpam-2317	55	28	[	[	X
ejpam-2317	55	29	7	7	NUM
ejpam-2317	55	30	,	,	PUNCT
ejpam-2317	55	31	theorem	theorem	VERB
ejpam-2317	55	32	2.1.3	2.1.3	NUM
ejpam-2317	55	33	,	,	PUNCT
ejpam-2317	55	34	(	(	PUNCT
ejpam-2317	55	35	e	e	NOUN
ejpam-2317	55	36	)	)	PUNCT
ejpam-2317	55	37	]	]	PUNCT
ejpam-2317	55	38	.	.	PUNCT
ejpam-2317	56	1	theorem	theorem	NOUN
ejpam-2317	56	2	2	2	NUM
ejpam-2317	56	3	.	.	PUNCT
ejpam-2317	57	1	if	if	SCONJ
ejpam-2317	57	2	the	the	DET
ejpam-2317	57	3	hypothesis	hypothesis	NOUN
ejpam-2317	57	4	of	of	ADP
ejpam-2317	57	5	theorem	theorem	ADJ
ejpam-2317	57	6	1	1	NUM
ejpam-2317	57	7	holds	hold	VERB
ejpam-2317	57	8	for	for	ADP
ejpam-2317	57	9	p	p	NOUN
ejpam-2317	57	10	=	=	NOUN
ejpam-2317	57	11	1	1	NUM
ejpam-2317	57	12	then	then	ADV
ejpam-2317	57	13	there	there	PRON
ejpam-2317	57	14	exists	exist	VERB
ejpam-2317	57	15	a	a	DET
ejpam-2317	57	16	finite	finite	NOUN
ejpam-2317	57	17	signed	sign	VERB
ejpam-2317	57	18	measure	measure	NOUN
ejpam-2317	57	19	µ	µ	X
ejpam-2317	57	20	on	on	ADP
ejpam-2317	57	21	tn	tn	NOUN
ejpam-2317	57	22	with	with	ADP
ejpam-2317	57	23	u(z	u(z	NOUN
ejpam-2317	57	24	)	)	PUNCT
ejpam-2317	58	1	=	=	SYM
ejpam-2317	58	2	∫	∫	PROPN
ejpam-2317	59	1	tn	tn	PROPN
ejpam-2317	59	2	p(z	p(z	PROPN
ejpam-2317	59	3	,	,	PUNCT
ejpam-2317	59	4	ζ	ζ	NOUN
ejpam-2317	59	5	)	)	PUNCT
ejpam-2317	59	6	dµ(ζ	dµ(ζ	NOUN
ejpam-2317	59	7	)	)	PUNCT
ejpam-2317	59	8	.	.	PUNCT
ejpam-2317	60	1	k.	k.	PROPN
ejpam-2317	60	2	shrestha	shrestha	PROPN
ejpam-2317	60	3	/	/	SYM
ejpam-2317	60	4	eur	eur	PROPN
ejpam-2317	60	5	.	.	PUNCT
ejpam-2317	61	1	j.	j.	PROPN
ejpam-2317	61	2	pure	pure	PROPN
ejpam-2317	61	3	appl	appl	PROPN
ejpam-2317	61	4	.	.	PROPN
ejpam-2317	61	5	math	math	PROPN
ejpam-2317	61	6	,	,	PUNCT
ejpam-2317	61	7	9	9	NUM
ejpam-2317	61	8	(	(	PUNCT
ejpam-2317	61	9	2016	2016	NUM
ejpam-2317	61	10	)	)	PUNCT
ejpam-2317	61	11	,	,	PUNCT
ejpam-2317	61	12	292	292	NUM
ejpam-2317	61	13	-	-	SYM
ejpam-2317	61	14	304	304	NUM
ejpam-2317	61	15	294	294	NUM
ejpam-2317	61	16	so	so	SCONJ
ejpam-2317	61	17	the	the	DET
ejpam-2317	61	18	function	function	NOUN
ejpam-2317	61	19	u	u	PROPN
ejpam-2317	61	20	∈	∈	PROPN
ejpam-2317	61	21	hp(dn	hp(dn	PROPN
ejpam-2317	61	22	)	)	PUNCT
ejpam-2317	61	23	,	,	PUNCT
ejpam-2317	61	24	p	p	X
ejpam-2317	61	25	>	>	X
ejpam-2317	61	26	1	1	NUM
ejpam-2317	61	27	,	,	PUNCT
ejpam-2317	61	28	is	be	AUX
ejpam-2317	61	29	the	the	DET
ejpam-2317	61	30	poisson	poisson	NOUN
ejpam-2317	61	31	integral	integral	ADJ
ejpam-2317	61	32	of	of	ADP
ejpam-2317	61	33	some	some	DET
ejpam-2317	61	34	function	function	NOUN
ejpam-2317	61	35	f	f	PROPN
ejpam-2317	61	36	∈	∈	PROPN
ejpam-2317	61	37	lp(tn	lp(tn	PROPN
ejpam-2317	61	38	)	)	PUNCT
ejpam-2317	61	39	.	.	PUNCT
ejpam-2317	62	1	is	be	AUX
ejpam-2317	62	2	there	there	PRON
ejpam-2317	62	3	any	any	DET
ejpam-2317	62	4	other	other	ADJ
ejpam-2317	62	5	connection	connection	NOUN
ejpam-2317	62	6	between	between	ADP
ejpam-2317	62	7	u	u	NOUN
ejpam-2317	62	8	and	and	CCONJ
ejpam-2317	62	9	f	f	PROPN
ejpam-2317	62	10	?	?	PUNCT
ejpam-2317	63	1	we	we	PRON
ejpam-2317	63	2	know	know	VERB
ejpam-2317	63	3	,	,	PUNCT
ejpam-2317	63	4	when	when	SCONJ
ejpam-2317	63	5	n	n	X
ejpam-2317	63	6	=	=	SYM
ejpam-2317	63	7	1	1	NUM
ejpam-2317	63	8	,	,	PUNCT
ejpam-2317	63	9	f	f	PROPN
ejpam-2317	63	10	is	be	AUX
ejpam-2317	63	11	the	the	DET
ejpam-2317	63	12	boundary	boundary	ADJ
ejpam-2317	63	13	value	value	NOUN
ejpam-2317	63	14	function	function	NOUN
ejpam-2317	63	15	of	of	ADP
ejpam-2317	63	16	u	u	NOUN
ejpam-2317	63	17	and	and	CCONJ
ejpam-2317	63	18	when	when	SCONJ
ejpam-2317	63	19	n	n	X
ejpam-2317	63	20	>	>	X
ejpam-2317	63	21	1	1	NUM
ejpam-2317	63	22	the	the	DET
ejpam-2317	63	23	following	following	ADJ
ejpam-2317	63	24	theorem	theorem	NOUN
ejpam-2317	63	25	[	[	X
ejpam-2317	63	26	7	7	NUM
ejpam-2317	63	27	,	,	PUNCT
ejpam-2317	63	28	theorem	theorem	VERB
ejpam-2317	63	29	2.3.1	2.3.1	NUM
ejpam-2317	63	30	]	]	PUNCT
ejpam-2317	63	31	answers	answer	VERB
ejpam-2317	63	32	this	this	DET
ejpam-2317	63	33	question	question	NOUN
ejpam-2317	63	34	.	.	PUNCT
ejpam-2317	64	1	theorem	theorem	NOUN
ejpam-2317	64	2	3	3	X
ejpam-2317	64	3	.	.	PUNCT
ejpam-2317	65	1	if	if	SCONJ
ejpam-2317	65	2	f	f	PROPN
ejpam-2317	65	3	∈	∈	PROPN
ejpam-2317	65	4	l1(tn	l1(tn	PROPN
ejpam-2317	65	5	)	)	PUNCT
ejpam-2317	65	6	,	,	PUNCT
ejpam-2317	65	7	if	if	SCONJ
ejpam-2317	65	8	σ	σ	PROPN
ejpam-2317	65	9	is	be	AUX
ejpam-2317	65	10	a	a	DET
ejpam-2317	65	11	measure	measure	NOUN
ejpam-2317	65	12	on	on	ADP
ejpam-2317	65	13	tn	tn	NOUN
ejpam-2317	65	14	which	which	PRON
ejpam-2317	65	15	is	be	AUX
ejpam-2317	65	16	singular	singular	ADJ
ejpam-2317	65	17	with	with	ADP
ejpam-2317	65	18	respect	respect	NOUN
ejpam-2317	65	19	to	to	ADP
ejpam-2317	65	20	dm	dm	NOUN
ejpam-2317	65	21	,	,	PUNCT
ejpam-2317	65	22	and	and	CCONJ
ejpam-2317	65	23	if	if	SCONJ
ejpam-2317	65	24	u=	u=	ADV
ejpam-2317	65	25	p	p	X
ejpam-2317	65	26	[	[	PUNCT
ejpam-2317	65	27	f	f	X
ejpam-2317	65	28	+	+	CCONJ
ejpam-2317	65	29	dσ	dσ	PROPN
ejpam-2317	65	30	]	]	X
ejpam-2317	65	31	,	,	PUNCT
ejpam-2317	65	32	then	then	ADV
ejpam-2317	65	33	u∗(ζ	u∗(ζ	NOUN
ejpam-2317	65	34	)	)	PUNCT
ejpam-2317	66	1	=	=	SYM
ejpam-2317	66	2	f	f	X
ejpam-2317	66	3	(	(	PUNCT
ejpam-2317	66	4	ζ	ζ	NOUN
ejpam-2317	66	5	)	)	PUNCT
ejpam-2317	66	6	for	for	ADP
ejpam-2317	66	7	almost	almost	ADV
ejpam-2317	66	8	every	every	PRON
ejpam-2317	66	9	ζ	ζ	PROPN
ejpam-2317	66	10	∈	∈	PROPN
ejpam-2317	66	11	tn	tn	PROPN
ejpam-2317	66	12	.	.	PUNCT
ejpam-2317	66	13	recall	recall	VERB
ejpam-2317	66	14	that	that	SCONJ
ejpam-2317	66	15	u∗(ζ	u∗(ζ	NOUN
ejpam-2317	66	16	)	)	PUNCT
ejpam-2317	66	17	=	=	SYM
ejpam-2317	67	1	limr→1	limr→1	PROPN
ejpam-2317	67	2	u(rζ	u(rζ	NOUN
ejpam-2317	67	3	)	)	PUNCT
ejpam-2317	67	4	is	be	AUX
ejpam-2317	67	5	the	the	DET
ejpam-2317	67	6	radial	radial	ADJ
ejpam-2317	67	7	limit	limit	NOUN
ejpam-2317	67	8	.	.	PUNCT
ejpam-2317	68	1	thus	thus	ADV
ejpam-2317	68	2	any	any	DET
ejpam-2317	68	3	n	n	CCONJ
ejpam-2317	68	4	-	-	PUNCT
ejpam-2317	68	5	harmonic	harmonic	ADJ
ejpam-2317	68	6	function	function	NOUN
ejpam-2317	68	7	satisfying	satisfy	VERB
ejpam-2317	68	8	the	the	DET
ejpam-2317	68	9	growth	growth	NOUN
ejpam-2317	68	10	condition	condition	NOUN
ejpam-2317	68	11	(	(	PUNCT
ejpam-2317	68	12	1	1	NUM
ejpam-2317	68	13	)	)	PUNCT
ejpam-2317	68	14	for	for	ADP
ejpam-2317	68	15	p	p	NOUN
ejpam-2317	68	16	>	>	X
ejpam-2317	68	17	1	1	NUM
ejpam-2317	68	18	can	can	AUX
ejpam-2317	68	19	be	be	AUX
ejpam-2317	68	20	restored	restore	VERB
ejpam-2317	68	21	by	by	ADP
ejpam-2317	68	22	the	the	DET
ejpam-2317	68	23	poisson	poisson	NOUN
ejpam-2317	68	24	integral	integral	ADJ
ejpam-2317	68	25	of	of	ADP
ejpam-2317	68	26	its	its	PRON
ejpam-2317	68	27	boundary	boundary	ADJ
ejpam-2317	68	28	value	value	NOUN
ejpam-2317	68	29	function	function	NOUN
ejpam-2317	68	30	.	.	PUNCT
ejpam-2317	69	1	for	for	ADP
ejpam-2317	69	2	p	p	NOUN
ejpam-2317	69	3	=	=	NOUN
ejpam-2317	69	4	1	1	NUM
ejpam-2317	69	5	we	we	PRON
ejpam-2317	69	6	just	just	ADV
ejpam-2317	69	7	saw	see	VERB
ejpam-2317	69	8	in	in	ADP
ejpam-2317	69	9	theorem	theorem	NOUN
ejpam-2317	69	10	2	2	NUM
ejpam-2317	69	11	that	that	SCONJ
ejpam-2317	69	12	u(z	u(z	VERB
ejpam-2317	69	13	)	)	PUNCT
ejpam-2317	69	14	=	=	SYM
ejpam-2317	69	15	p[dµ](z	p[dµ](z	PROPN
ejpam-2317	69	16	)	)	PUNCT
ejpam-2317	69	17	.	.	PUNCT
ejpam-2317	70	1	by	by	ADP
ejpam-2317	70	2	the	the	DET
ejpam-2317	70	3	lebesgue	lebesgue	NOUN
ejpam-2317	70	4	decomposition	decomposition	NOUN
ejpam-2317	70	5	theorem	theorem	VERB
ejpam-2317	70	6	dµ=	dµ=	PROPN
ejpam-2317	70	7	f	f	PROPN
ejpam-2317	70	8	dm+	dm+	VERB
ejpam-2317	70	9	dσ	dσ	PROPN
ejpam-2317	70	10	where	where	SCONJ
ejpam-2317	70	11	σ	σ	PROPN
ejpam-2317	70	12	is	be	AUX
ejpam-2317	70	13	singular	singular	ADJ
ejpam-2317	70	14	with	with	ADP
ejpam-2317	70	15	respect	respect	NOUN
ejpam-2317	70	16	to	to	ADP
ejpam-2317	70	17	m	m	PROPN
ejpam-2317	70	18	and	and	CCONJ
ejpam-2317	70	19	f	f	PROPN
ejpam-2317	70	20	∈	∈	PROPN
ejpam-2317	70	21	l1(tn	l1(tn	PROPN
ejpam-2317	70	22	)	)	PUNCT
ejpam-2317	70	23	.	.	PUNCT
ejpam-2317	71	1	hence	hence	ADV
ejpam-2317	71	2	we	we	PRON
ejpam-2317	71	3	have	have	VERB
ejpam-2317	71	4	u∗(ζ	u∗(ζ	NOUN
ejpam-2317	71	5	)	)	PUNCT
ejpam-2317	72	1	=	=	SYM
ejpam-2317	72	2	f	f	X
ejpam-2317	72	3	(	(	PUNCT
ejpam-2317	72	4	ζ	ζ	NOUN
ejpam-2317	72	5	)	)	PUNCT
ejpam-2317	72	6	but	but	CCONJ
ejpam-2317	72	7	u	u	PRON
ejpam-2317	72	8	can	can	AUX
ejpam-2317	72	9	not	not	PART
ejpam-2317	72	10	be	be	AUX
ejpam-2317	72	11	restored	restore	VERB
ejpam-2317	72	12	by	by	ADP
ejpam-2317	72	13	the	the	DET
ejpam-2317	72	14	poisson	poisson	NOUN
ejpam-2317	72	15	integral	integral	ADJ
ejpam-2317	72	16	of	of	ADP
ejpam-2317	72	17	its	its	PRON
ejpam-2317	72	18	boundary	boundary	ADJ
ejpam-2317	72	19	value	value	NOUN
ejpam-2317	72	20	function	function	NOUN
ejpam-2317	72	21	unless	unless	SCONJ
ejpam-2317	72	22	,	,	PUNCT
ejpam-2317	72	23	of	of	ADP
ejpam-2317	72	24	course	course	NOUN
ejpam-2317	72	25	,	,	PUNCT
ejpam-2317	72	26	p[dσ	p[dσ	NOUN
ejpam-2317	72	27	]	]	X
ejpam-2317	72	28	=	=	SYM
ejpam-2317	72	29	0	0	X
ejpam-2317	72	30	.	.	PUNCT
ejpam-2317	73	1	also	also	ADV
ejpam-2317	73	2	in	in	ADP
ejpam-2317	73	3	[	[	X
ejpam-2317	73	4	7	7	X
ejpam-2317	73	5	]	]	PUNCT
ejpam-2317	73	6	it	it	PRON
ejpam-2317	73	7	has	have	AUX
ejpam-2317	73	8	been	be	AUX
ejpam-2317	73	9	proved	prove	VERB
ejpam-2317	73	10	that	that	SCONJ
ejpam-2317	73	11	if	if	SCONJ
ejpam-2317	73	12	f	f	PROPN
ejpam-2317	73	13	∈	∈	PROPN
ejpam-2317	73	14	lp(tn	lp(tn	PROPN
ejpam-2317	73	15	)	)	PUNCT
ejpam-2317	73	16	,	,	PUNCT
ejpam-2317	73	17	1	1	NUM
ejpam-2317	73	18	≤	≤	NOUN
ejpam-2317	73	19	p	p	X
ejpam-2317	73	20	<	<	X
ejpam-2317	73	21	∞	∞	PROPN
ejpam-2317	73	22	,	,	PUNCT
ejpam-2317	73	23	and	and	CCONJ
ejpam-2317	73	24	u	u	NOUN
ejpam-2317	73	25	=	=	SYM
ejpam-2317	73	26	p	p	X
ejpam-2317	73	27	[	[	PUNCT
ejpam-2317	73	28	f	f	X
ejpam-2317	73	29	]	]	PUNCT
ejpam-2317	73	30	then	then	ADV
ejpam-2317	73	31	ur	ur	INTJ
ejpam-2317	73	32	converges	converge	VERB
ejpam-2317	73	33	to	to	ADP
ejpam-2317	73	34	f	f	PROPN
ejpam-2317	73	35	in	in	ADP
ejpam-2317	73	36	the	the	DET
ejpam-2317	73	37	lp	lp	NOUN
ejpam-2317	73	38	-	-	PUNCT
ejpam-2317	73	39	norm	norm	NOUN
ejpam-2317	73	40	as	as	ADP
ejpam-2317	73	41	r	r	NOUN
ejpam-2317	73	42	→	→	SYM
ejpam-2317	73	43	1	1	NUM
ejpam-2317	73	44	,	,	PUNCT
ejpam-2317	74	1	i.e.	i.e.	X
ejpam-2317	74	2	limr→1	limr→1	PROPN
ejpam-2317	74	3	‖ur	‖ur	NUM
ejpam-2317	74	4	−	−	PROPN
ejpam-2317	74	5	f	f	PROPN
ejpam-2317	74	6	‖lp	‖lp	PROPN
ejpam-2317	74	7	=	=	SYM
ejpam-2317	74	8	0	0	PROPN
ejpam-2317	74	9	.	.	PUNCT
ejpam-2317	75	1	but	but	CCONJ
ejpam-2317	75	2	when	when	SCONJ
ejpam-2317	75	3	p	p	NOUN
ejpam-2317	75	4	=	=	NOUN
ejpam-2317	75	5	1	1	NUM
ejpam-2317	75	6	we	we	PRON
ejpam-2317	75	7	have	have	VERB
ejpam-2317	75	8	the	the	DET
ejpam-2317	75	9	weak-∗	weak-∗	PROPN
ejpam-2317	75	10	convergence	convergence	NOUN
ejpam-2317	75	11	.	.	PUNCT
ejpam-2317	76	1	theorem	theorem	ADJ
ejpam-2317	76	2	4	4	NUM
ejpam-2317	76	3	.	.	PUNCT
ejpam-2317	77	1	let	let	VERB
ejpam-2317	77	2	f	f	PROPN
ejpam-2317	77	3	(	(	PUNCT
ejpam-2317	77	4	z	z	NOUN
ejpam-2317	77	5	)	)	PUNCT
ejpam-2317	77	6	=	=	SYM
ejpam-2317	77	7	p[dµ](z	p[dµ](z	PROPN
ejpam-2317	77	8	)	)	PUNCT
ejpam-2317	77	9	with	with	ADP
ejpam-2317	77	10	µ	µ	NOUN
ejpam-2317	77	11	a	a	DET
ejpam-2317	77	12	finite	finite	NOUN
ejpam-2317	77	13	signed	sign	VERB
ejpam-2317	77	14	measure	measure	NOUN
ejpam-2317	77	15	on	on	ADP
ejpam-2317	77	16	tn	tn	PROPN
ejpam-2317	77	17	.	.	PUNCT
ejpam-2317	78	1	then	then	ADV
ejpam-2317	78	2	fr	fr	INTJ
ejpam-2317	78	3	dm	dm	PROPN
ejpam-2317	78	4	→	→	SYM
ejpam-2317	78	5	dµ	dµ	PRON
ejpam-2317	78	6	weak-∗	weak-∗	NOUN
ejpam-2317	78	7	as	as	ADP
ejpam-2317	78	8	r	r	NOUN
ejpam-2317	78	9	→	→	SYM
ejpam-2317	78	10	1	1	NUM
ejpam-2317	78	11	.	.	X
ejpam-2317	79	1	proof	proof	NOUN
ejpam-2317	79	2	.	.	PUNCT
ejpam-2317	80	1	let	let	VERB
ejpam-2317	80	2	ϕ	ϕ	PROPN
ejpam-2317	80	3	∈	∈	PROPN
ejpam-2317	80	4	c(tn	c(tn	PROPN
ejpam-2317	80	5	)	)	PUNCT
ejpam-2317	80	6	.	.	PUNCT
ejpam-2317	81	1	then	then	ADV
ejpam-2317	81	2	�	�	PROPN
ejpam-2317	81	3	�	�	PROPN
ejpam-2317	81	4	�	�	PROPN
ejpam-2317	81	5	�	�	PROPN
ejpam-2317	81	6	�	�	PROPN
ejpam-2317	81	7	∫	∫	PROPN
ejpam-2317	81	8	tn	tn	PROPN
ejpam-2317	81	9	ϕ(ζ	ϕ(ζ	PROPN
ejpam-2317	81	10	)	)	PUNCT
ejpam-2317	81	11	fr(ζ	fr(ζ	PROPN
ejpam-2317	81	12	)	)	PUNCT
ejpam-2317	81	13	dm(ζ)−	dm(ζ)−	PROPN
ejpam-2317	81	14	∫	∫	PROPN
ejpam-2317	81	15	tn	tn	PROPN
ejpam-2317	81	16	ϕ(ζ	ϕ(ζ	PROPN
ejpam-2317	81	17	)	)	PUNCT
ejpam-2317	81	18	dµ(ζ	dµ(ζ	NOUN
ejpam-2317	81	19	)	)	PUNCT
ejpam-2317	81	20	�	�	PROPN
ejpam-2317	81	21	�	�	PROPN
ejpam-2317	81	22	�	�	PROPN
ejpam-2317	81	23	�	�	PROPN
ejpam-2317	81	24	�	�	PROPN
ejpam-2317	81	25	=	=	SYM
ejpam-2317	81	26	�	�	PROPN
ejpam-2317	81	27	�	�	PROPN
ejpam-2317	81	28	�	�	PROPN
ejpam-2317	81	29	�	�	PROPN
ejpam-2317	81	30	�	�	PROPN
ejpam-2317	81	31	∫	∫	PROPN
ejpam-2317	81	32	tn	tn	PROPN
ejpam-2317	81	33	ϕ(ζ	ϕ(ζ	PROPN
ejpam-2317	81	34	)	)	PUNCT
ejpam-2317	81	35	�	�	PROPN
ejpam-2317	81	36	∫	∫	PROPN
ejpam-2317	81	37	tn	tn	PROPN
ejpam-2317	81	38	p(rζ	p(rζ	PROPN
ejpam-2317	81	39	,	,	PUNCT
ejpam-2317	81	40	η	η	NOUN
ejpam-2317	81	41	)	)	PUNCT
ejpam-2317	81	42	dµ(η	dµ(η	NOUN
ejpam-2317	81	43	)	)	PUNCT
ejpam-2317	81	44	�	�	PROPN
ejpam-2317	81	45	dm(ζ)−	dm(ζ)−	PROPN
ejpam-2317	81	46	∫	∫	PROPN
ejpam-2317	81	47	tn	tn	PROPN
ejpam-2317	81	48	ϕ(η	ϕ(η	PROPN
ejpam-2317	81	49	)	)	PUNCT
ejpam-2317	81	50	dµ(η	dµ(η	PROPN
ejpam-2317	81	51	)	)	PUNCT
ejpam-2317	81	52	�	�	PROPN
ejpam-2317	81	53	�	�	PROPN
ejpam-2317	81	54	�	�	PROPN
ejpam-2317	81	55	�	�	PROPN
ejpam-2317	81	56	�	�	PROPN
ejpam-2317	81	57	(	(	PUNCT
ejpam-2317	81	58	∵	∵	NOUN
ejpam-2317	81	59	p(rζ	p(rζ	PROPN
ejpam-2317	81	60	,	,	PUNCT
ejpam-2317	81	61	η	η	NOUN
ejpam-2317	81	62	)	)	PUNCT
ejpam-2317	81	63	=	=	SYM
ejpam-2317	81	64	p(rη	p(rη	NOUN
ejpam-2317	81	65	,	,	PUNCT
ejpam-2317	81	66	ζ	ζ	NOUN
ejpam-2317	81	67	)	)	PUNCT
ejpam-2317	81	68	)	)	PUNCT
ejpam-2317	82	1	=	=	SYM
ejpam-2317	82	2	�	�	PROPN
ejpam-2317	82	3	�	�	PROPN
ejpam-2317	82	4	�	�	PROPN
ejpam-2317	82	5	�	�	PROPN
ejpam-2317	82	6	�	�	PROPN
ejpam-2317	82	7	∫	∫	PROPN
ejpam-2317	82	8	tn	tn	PROPN
ejpam-2317	82	9	�	�	PROPN
ejpam-2317	82	10	∫	∫	PROPN
ejpam-2317	82	11	tn	tn	PROPN
ejpam-2317	82	12	p(rη	p(rη	PROPN
ejpam-2317	82	13	,	,	PUNCT
ejpam-2317	82	14	ζ)ϕ(ζ	ζ)ϕ(ζ	VERB
ejpam-2317	82	15	)	)	PUNCT
ejpam-2317	82	16	dm(ζ	dm(ζ	PROPN
ejpam-2317	82	17	)	)	PUNCT
ejpam-2317	82	18	�	�	PROPN
ejpam-2317	82	19	dµ(η)−	dµ(η)−	PROPN
ejpam-2317	82	20	∫	∫	PROPN
ejpam-2317	82	21	tn	tn	PROPN
ejpam-2317	82	22	ϕ(η	ϕ(η	PROPN
ejpam-2317	82	23	)	)	PUNCT
ejpam-2317	82	24	dµ(η	dµ(η	PROPN
ejpam-2317	82	25	)	)	PUNCT
ejpam-2317	82	26	�	�	PROPN
ejpam-2317	82	27	�	�	PROPN
ejpam-2317	82	28	�	�	PROPN
ejpam-2317	82	29	�	�	PROPN
ejpam-2317	82	30	�	�	PROPN
ejpam-2317	82	31	=	=	SYM
ejpam-2317	82	32	�	�	PROPN
ejpam-2317	82	33	�	�	PROPN
ejpam-2317	82	34	�	�	PROPN
ejpam-2317	82	35	�	�	PROPN
ejpam-2317	82	36	�	�	PROPN
ejpam-2317	82	37	∫	∫	PROPN
ejpam-2317	82	38	tn	tn	PROPN
ejpam-2317	82	39	�	�	PROPN
ejpam-2317	82	40	∫	∫	PROPN
ejpam-2317	82	41	tn	tn	PROPN
ejpam-2317	82	42	p(rη	p(rη	PROPN
ejpam-2317	82	43	,	,	PUNCT
ejpam-2317	82	44	ζ)ϕ(ζ	ζ)ϕ(ζ	X
ejpam-2317	82	45	)	)	PUNCT
ejpam-2317	82	46	dm(ζ)−ϕ(η	dm(ζ)−ϕ(η	PROPN
ejpam-2317	82	47	)	)	PUNCT
ejpam-2317	82	48	�	�	PROPN
ejpam-2317	82	49	dµ(η	dµ(η	PROPN
ejpam-2317	82	50	)	)	PUNCT
ejpam-2317	82	51	�	�	PROPN
ejpam-2317	82	52	�	�	PROPN
ejpam-2317	82	53	�	�	PROPN
ejpam-2317	82	54	�	�	PROPN
ejpam-2317	82	55	�	�	PROPN
ejpam-2317	82	56	→0	→0	PUNCT
ejpam-2317	82	57	because	because	SCONJ
ejpam-2317	82	58	the	the	DET
ejpam-2317	82	59	inner	inner	ADJ
ejpam-2317	82	60	integral	integral	NOUN
ejpam-2317	82	61	goes	go	VERB
ejpam-2317	82	62	to	to	ADP
ejpam-2317	82	63	zero	zero	NUM
ejpam-2317	82	64	uniformly	uniformly	ADV
ejpam-2317	82	65	on	on	ADP
ejpam-2317	82	66	η	η	PROPN
ejpam-2317	82	67	.	.	PROPN
ejpam-2317	83	1	hence	hence	ADV
ejpam-2317	83	2	fr	fr	INTJ
ejpam-2317	84	1	dm→	dm→	PUNCT
ejpam-2317	84	2	dµ	dµ	ADP
ejpam-2317	84	3	weak-∗	weak-∗	NOUN
ejpam-2317	84	4	as	as	ADP
ejpam-2317	84	5	r	r	NOUN
ejpam-2317	84	6	→	→	SYM
ejpam-2317	84	7	1	1	X
ejpam-2317	84	8	.	.	X
ejpam-2317	85	1	we	we	PRON
ejpam-2317	85	2	define	define	VERB
ejpam-2317	85	3	h	h	PROPN
ejpam-2317	85	4	p(dn	p(dn	PROPN
ejpam-2317	85	5	)	)	PUNCT
ejpam-2317	85	6	,	,	PUNCT
ejpam-2317	85	7	0	0	PUNCT
ejpam-2317	85	8	<	<	X
ejpam-2317	85	9	p	p	X
ejpam-2317	85	10	<	<	X
ejpam-2317	85	11	∞	∞	PROPN
ejpam-2317	85	12	,	,	PUNCT
ejpam-2317	85	13	to	to	PART
ejpam-2317	85	14	be	be	AUX
ejpam-2317	85	15	the	the	DET
ejpam-2317	85	16	class	class	NOUN
ejpam-2317	85	17	of	of	ADP
ejpam-2317	85	18	all	all	DET
ejpam-2317	85	19	holomorphic	holomorphic	ADJ
ejpam-2317	85	20	functions	function	NOUN
ejpam-2317	85	21	f	f	PROPN
ejpam-2317	85	22	∈	∈	PROPN
ejpam-2317	85	23	dn	dn	PROPN
ejpam-2317	85	24	for	for	ADP
ejpam-2317	85	25	which	which	PRON
ejpam-2317	85	26	sup	sup	NOUN
ejpam-2317	85	27	0≤r<1	0≤r<1	PROPN
ejpam-2317	85	28	∫	∫	PROPN
ejpam-2317	85	29	tn	tn	PROPN
ejpam-2317	86	1	|	|	ADV
ejpam-2317	86	2	fr(ζ)|	fr(ζ)|	VERB
ejpam-2317	86	3	p	p	PROPN
ejpam-2317	86	4	dm<∞	dm<∞	PROPN
ejpam-2317	86	5	and	and	CCONJ
ejpam-2317	86	6	h∞(dn	h∞(dn	PROPN
ejpam-2317	86	7	)	)	PUNCT
ejpam-2317	86	8	is	be	AUX
ejpam-2317	86	9	the	the	DET
ejpam-2317	86	10	space	space	NOUN
ejpam-2317	86	11	of	of	ADP
ejpam-2317	86	12	all	all	DET
ejpam-2317	86	13	bounded	bound	VERB
ejpam-2317	86	14	holomorphic	holomorphic	ADJ
ejpam-2317	86	15	functions	function	NOUN
ejpam-2317	86	16	in	in	ADP
ejpam-2317	86	17	dn	dn	PROPN
ejpam-2317	86	18	.	.	PROPN
ejpam-2317	86	19	k.	k.	PROPN
ejpam-2317	86	20	shrestha	shrestha	PROPN
ejpam-2317	86	21	/	/	SYM
ejpam-2317	86	22	eur	eur	PROPN
ejpam-2317	86	23	.	.	PUNCT
ejpam-2317	87	1	j.	j.	PROPN
ejpam-2317	87	2	pure	pure	PROPN
ejpam-2317	87	3	appl	appl	PROPN
ejpam-2317	87	4	.	.	PROPN
ejpam-2317	87	5	math	math	PROPN
ejpam-2317	87	6	,	,	PUNCT
ejpam-2317	87	7	9	9	NUM
ejpam-2317	87	8	(	(	PUNCT
ejpam-2317	87	9	2016	2016	NUM
ejpam-2317	87	10	)	)	PUNCT
ejpam-2317	87	11	,	,	PUNCT
ejpam-2317	87	12	292	292	NUM
ejpam-2317	87	13	-	-	SYM
ejpam-2317	87	14	304	304	NUM
ejpam-2317	87	15	295	295	NUM
ejpam-2317	87	16	since	since	SCONJ
ejpam-2317	87	17	|	|	ADV
ejpam-2317	87	18	f	f	PROPN
ejpam-2317	87	19	|p	|p	X
ejpam-2317	87	20	is	be	AUX
ejpam-2317	87	21	n	n	CCONJ
ejpam-2317	87	22	-	-	PUNCT
ejpam-2317	87	23	subharmonic	subharmonic	ADJ
ejpam-2317	87	24	,	,	PUNCT
ejpam-2317	87	25	sup	sup	NOUN
ejpam-2317	87	26	in	in	ADP
ejpam-2317	87	27	the	the	DET
ejpam-2317	87	28	definition	definition	NOUN
ejpam-2317	87	29	can	can	AUX
ejpam-2317	87	30	be	be	AUX
ejpam-2317	87	31	replaced	replace	VERB
ejpam-2317	87	32	by	by	ADP
ejpam-2317	87	33	lim	lim	PROPN
ejpam-2317	87	34	as	as	ADP
ejpam-2317	87	35	r	r	NOUN
ejpam-2317	87	36	→	→	SYM
ejpam-2317	87	37	1	1	NUM
ejpam-2317	87	38	.	.	PUNCT
ejpam-2317	88	1	it	it	PRON
ejpam-2317	88	2	is	be	AUX
ejpam-2317	88	3	known	know	VERB
ejpam-2317	88	4	that	that	SCONJ
ejpam-2317	88	5	if	if	SCONJ
ejpam-2317	88	6	f	f	PROPN
ejpam-2317	88	7	∈	∈	PROPN
ejpam-2317	88	8	h	h	NOUN
ejpam-2317	88	9	p(dn	p(dn	PROPN
ejpam-2317	88	10	)	)	PUNCT
ejpam-2317	88	11	,	,	PUNCT
ejpam-2317	88	12	0	0	PUNCT
ejpam-2317	88	13	<	<	X
ejpam-2317	88	14	p	p	X
ejpam-2317	88	15	<	<	X
ejpam-2317	88	16	∞	∞	PROPN
ejpam-2317	88	17	,	,	PUNCT
ejpam-2317	88	18	then	then	ADV
ejpam-2317	88	19	f	f	PROPN
ejpam-2317	88	20	has	have	VERB
ejpam-2317	88	21	a	a	DET
ejpam-2317	88	22	non	non	ADJ
ejpam-2317	88	23	-	-	ADJ
ejpam-2317	88	24	tangential	tangential	ADJ
ejpam-2317	88	25	limit	limit	NOUN
ejpam-2317	88	26	at	at	ADP
ejpam-2317	88	27	almost	almost	ADV
ejpam-2317	88	28	all	all	PRON
ejpam-2317	88	29	points	point	NOUN
ejpam-2317	88	30	of	of	ADP
ejpam-2317	88	31	tn	tn	NOUN
ejpam-2317	89	1	[	[	X
ejpam-2317	89	2	11	11	NUM
ejpam-2317	89	3	,	,	PUNCT
ejpam-2317	89	4	ch	ch	NOUN
ejpam-2317	89	5	.	.	PROPN
ejpam-2317	89	6	xvii	xvii	PROPN
ejpam-2317	89	7	,	,	PUNCT
ejpam-2317	89	8	theorem	theorem	VERB
ejpam-2317	89	9	4.8	4.8	NUM
ejpam-2317	89	10	]	]	PUNCT
ejpam-2317	89	11	.	.	PUNCT
ejpam-2317	90	1	we	we	PRON
ejpam-2317	90	2	denote	denote	VERB
ejpam-2317	90	3	this	this	DET
ejpam-2317	90	4	limit	limit	NOUN
ejpam-2317	90	5	by	by	ADP
ejpam-2317	90	6	f	f	PROPN
ejpam-2317	90	7	∗	∗	NOUN
ejpam-2317	90	8	as	as	ADP
ejpam-2317	90	9	in	in	ADP
ejpam-2317	90	10	[	[	X
ejpam-2317	90	11	7	7	NUM
ejpam-2317	90	12	]	]	PUNCT
ejpam-2317	90	13	and	and	CCONJ
ejpam-2317	90	14	call	call	VERB
ejpam-2317	90	15	it	it	PRON
ejpam-2317	90	16	a	a	DET
ejpam-2317	90	17	boundary	boundary	ADJ
ejpam-2317	90	18	value	value	NOUN
ejpam-2317	90	19	function	function	NOUN
ejpam-2317	90	20	.	.	PUNCT
ejpam-2317	91	1	moreover	moreover	ADV
ejpam-2317	91	2	,	,	PUNCT
ejpam-2317	91	3	we	we	PRON
ejpam-2317	91	4	have	have	VERB
ejpam-2317	91	5	the	the	DET
ejpam-2317	91	6	following	follow	VERB
ejpam-2317	91	7	results	result	NOUN
ejpam-2317	91	8	from	from	ADP
ejpam-2317	91	9	rudin	rudin	PROPN
ejpam-2317	91	10	(	(	PUNCT
ejpam-2317	91	11	see	see	VERB
ejpam-2317	91	12	[	[	X
ejpam-2317	91	13	7	7	NUM
ejpam-2317	91	14	,	,	PUNCT
ejpam-2317	91	15	theorem	theorem	VERB
ejpam-2317	91	16	3.4.2	3.4.2	NUM
ejpam-2317	91	17	and	and	CCONJ
ejpam-2317	91	18	3.4.3	3.4.3	NUM
ejpam-2317	91	19	]	]	X
ejpam-2317	91	20	)	)	PUNCT
ejpam-2317	91	21	.	.	PUNCT
ejpam-2317	92	1	theorem	theorem	NOUN
ejpam-2317	92	2	5	5	NUM
ejpam-2317	92	3	.	.	PUNCT
ejpam-2317	93	1	if	if	SCONJ
ejpam-2317	93	2	f	f	PROPN
ejpam-2317	93	3	∈	∈	PROPN
ejpam-2317	93	4	h	h	NOUN
ejpam-2317	93	5	p(dn	p(dn	PROPN
ejpam-2317	93	6	)	)	PUNCT
ejpam-2317	93	7	,	,	PUNCT
ejpam-2317	93	8	0	0	PUNCT
ejpam-2317	93	9	<	<	X
ejpam-2317	93	10	p	p	X
ejpam-2317	93	11	<	<	X
ejpam-2317	93	12	∞	∞	PROPN
ejpam-2317	93	13	,	,	PUNCT
ejpam-2317	93	14	then	then	ADV
ejpam-2317	93	15	f	f	PROPN
ejpam-2317	93	16	∗	∗	PROPN
ejpam-2317	93	17	∈	∈	PROPN
ejpam-2317	93	18	lp(tn	lp(tn	PROPN
ejpam-2317	93	19	)	)	PUNCT
ejpam-2317	93	20	and	and	CCONJ
ejpam-2317	93	21	(	(	PUNCT
ejpam-2317	93	22	i	i	NOUN
ejpam-2317	93	23	)	)	PUNCT
ejpam-2317	94	1	limr→1	limr→1	PROPN
ejpam-2317	94	2	∫	∫	PROPN
ejpam-2317	95	1	tn	tn	NOUN
ejpam-2317	96	1	|	|	ADV
ejpam-2317	96	2	fr	fr	INTJ
ejpam-2317	97	1	|	|	ADV
ejpam-2317	97	2	p	p	PRON
ejpam-2317	97	3	dm=	dm=	PROPN
ejpam-2317	98	1	∫	∫	PROPN
ejpam-2317	98	2	tn	tn	PROPN
ejpam-2317	99	1	|	|	ADV
ejpam-2317	99	2	f	f	PROPN
ejpam-2317	99	3	∗|p	∗|p	PROPN
ejpam-2317	99	4	dm	dm	PROPN
ejpam-2317	99	5	(	(	PUNCT
ejpam-2317	99	6	ii	ii	NOUN
ejpam-2317	99	7	)	)	PUNCT
ejpam-2317	100	1	limr→1	limr→1	PROPN
ejpam-2317	100	2	∫	∫	PROPN
ejpam-2317	101	1	tn	tn	NOUN
ejpam-2317	102	1	|	|	ADV
ejpam-2317	102	2	fr	fr	INTJ
ejpam-2317	102	3	−	−	PROPN
ejpam-2317	103	1	f	f	PROPN
ejpam-2317	104	1	∗|p	∗|p	ADP
ejpam-2317	104	2	dm=	dm=	PROPN
ejpam-2317	104	3	0	0	NUM
ejpam-2317	104	4	.	.	PUNCT
ejpam-2317	105	1	when	when	SCONJ
ejpam-2317	105	2	p	p	PRON
ejpam-2317	105	3	≥	≥	PUNCT
ejpam-2317	105	4	1	1	NUM
ejpam-2317	105	5	the	the	DET
ejpam-2317	105	6	function	function	NOUN
ejpam-2317	105	7	in	in	ADP
ejpam-2317	105	8	h	h	PROPN
ejpam-2317	105	9	p(dn	p(dn	PROPN
ejpam-2317	105	10	)	)	PUNCT
ejpam-2317	105	11	can	can	AUX
ejpam-2317	105	12	be	be	AUX
ejpam-2317	105	13	represented	represent	VERB
ejpam-2317	105	14	by	by	ADP
ejpam-2317	105	15	the	the	DET
ejpam-2317	105	16	poisson	poisson	NOUN
ejpam-2317	105	17	integral	integral	ADJ
ejpam-2317	105	18	of	of	ADP
ejpam-2317	105	19	its	its	PRON
ejpam-2317	105	20	boundary	boundary	ADJ
ejpam-2317	105	21	value	value	NOUN
ejpam-2317	105	22	function	function	NOUN
ejpam-2317	105	23	.	.	PUNCT
ejpam-2317	106	1	theorem	theorem	VERB
ejpam-2317	106	2	6	6	NUM
ejpam-2317	106	3	.	.	PUNCT
ejpam-2317	107	1	if	if	SCONJ
ejpam-2317	107	2	f	f	PROPN
ejpam-2317	107	3	∈	∈	PROPN
ejpam-2317	107	4	h1(dn	h1(dn	PROPN
ejpam-2317	107	5	)	)	PUNCT
ejpam-2317	107	6	,	,	PUNCT
ejpam-2317	107	7	then	then	ADV
ejpam-2317	107	8	f	f	X
ejpam-2317	107	9	(	(	PUNCT
ejpam-2317	107	10	z	z	NOUN
ejpam-2317	107	11	)	)	PUNCT
ejpam-2317	107	12	=	=	SYM
ejpam-2317	107	13	∫	∫	PROPN
ejpam-2317	107	14	tn	tn	PROPN
ejpam-2317	107	15	p(z	p(z	PROPN
ejpam-2317	107	16	,	,	PUNCT
ejpam-2317	107	17	ζ	ζ	NOUN
ejpam-2317	107	18	)	)	PUNCT
ejpam-2317	107	19	f	f	PROPN
ejpam-2317	107	20	∗(ζ	∗(ζ	PROPN
ejpam-2317	107	21	)	)	PUNCT
ejpam-2317	107	22	dm	dm	PROPN
ejpam-2317	107	23	.	.	PUNCT
ejpam-2317	108	1	(	(	PUNCT
ejpam-2317	108	2	the	the	DET
ejpam-2317	108	3	case	case	NOUN
ejpam-2317	108	4	n=	n=	ADJ
ejpam-2317	108	5	1	1	NUM
ejpam-2317	108	6	can	can	AUX
ejpam-2317	108	7	be	be	AUX
ejpam-2317	108	8	found	find	VERB
ejpam-2317	108	9	in	in	ADP
ejpam-2317	108	10	[	[	X
ejpam-2317	108	11	6	6	NUM
ejpam-2317	108	12	,	,	PUNCT
ejpam-2317	108	13	theorem	theorem	VERB
ejpam-2317	108	14	17.11	17.11	NUM
ejpam-2317	108	15	]	]	PUNCT
ejpam-2317	108	16	.	.	PUNCT
ejpam-2317	108	17	)	)	PUNCT
ejpam-2317	109	1	proof	proof	NOUN
ejpam-2317	109	2	.	.	PUNCT
ejpam-2317	110	1	since	since	SCONJ
ejpam-2317	110	2	z	z	PROPN
ejpam-2317	110	3	∈	∈	PROPN
ejpam-2317	110	4	dn	dn	PROPN
ejpam-2317	110	5	,	,	PUNCT
ejpam-2317	110	6	p(z	p(z	NOUN
ejpam-2317	110	7	,	,	PUNCT
ejpam-2317	110	8	ζ	ζ	NOUN
ejpam-2317	110	9	)	)	PUNCT
ejpam-2317	110	10	is	be	AUX
ejpam-2317	110	11	bounded	bound	VERB
ejpam-2317	110	12	on	on	ADP
ejpam-2317	110	13	tn	tn	PROPN
ejpam-2317	110	14	and	and	CCONJ
ejpam-2317	110	15	by	by	ADP
ejpam-2317	110	16	(	(	PUNCT
ejpam-2317	110	17	ii	ii	NOUN
ejpam-2317	110	18	)	)	PUNCT
ejpam-2317	110	19	of	of	ADP
ejpam-2317	110	20	the	the	DET
ejpam-2317	110	21	theorem	theorem	NOUN
ejpam-2317	110	22	above	above	ADP
ejpam-2317	110	23	�	�	PROPN
ejpam-2317	110	24	�	�	PROPN
ejpam-2317	110	25	�	�	PROPN
ejpam-2317	110	26	�	�	PROPN
ejpam-2317	110	27	�	�	PROPN
ejpam-2317	110	28	∫	∫	PROPN
ejpam-2317	110	29	tn	tn	PROPN
ejpam-2317	110	30	p(z	p(z	PROPN
ejpam-2317	110	31	,	,	PUNCT
ejpam-2317	110	32	ζ	ζ	NOUN
ejpam-2317	110	33	)	)	PUNCT
ejpam-2317	110	34	fr(ζ	fr(ζ	PROPN
ejpam-2317	110	35	)	)	PUNCT
ejpam-2317	110	36	dm(ζ)−	dm(ζ)−	NOUN
ejpam-2317	110	37	∫	∫	PROPN
ejpam-2317	110	38	tn	tn	PROPN
ejpam-2317	110	39	p(z	p(z	PROPN
ejpam-2317	110	40	,	,	PUNCT
ejpam-2317	110	41	ζ	ζ	NOUN
ejpam-2317	110	42	)	)	PUNCT
ejpam-2317	110	43	f	f	PROPN
ejpam-2317	110	44	∗(ζ	∗(ζ	PROPN
ejpam-2317	110	45	)	)	PUNCT
ejpam-2317	110	46	dm(ζ	dm(ζ	PROPN
ejpam-2317	110	47	)	)	PUNCT
ejpam-2317	110	48	�	�	PROPN
ejpam-2317	110	49	�	�	PROPN
ejpam-2317	110	50	�	�	PROPN
ejpam-2317	110	51	�	�	PROPN
ejpam-2317	110	52	�	�	PROPN
ejpam-2317	110	53	≤	≤	PROPN
ejpam-2317	110	54	∫	∫	PROPN
ejpam-2317	110	55	tn	tn	PROPN
ejpam-2317	110	56	p(z	p(z	PROPN
ejpam-2317	110	57	,	,	PUNCT
ejpam-2317	110	58	ζ)|	ζ)|	VERB
ejpam-2317	110	59	fr(ζ)−	fr(ζ)−	ADJ
ejpam-2317	110	60	f	f	NOUN
ejpam-2317	110	61	∗(ζ)|	∗(ζ)|	NOUN
ejpam-2317	110	62	dm(ζ	dm(ζ	NOUN
ejpam-2317	110	63	)	)	PUNCT
ejpam-2317	110	64	→0	→0	PUNCT
ejpam-2317	110	65	.	.	PUNCT
ejpam-2317	111	1	now	now	ADV
ejpam-2317	111	2	by	by	ADP
ejpam-2317	111	3	[	[	X
ejpam-2317	111	4	7	7	NUM
ejpam-2317	111	5	,	,	PUNCT
ejpam-2317	111	6	theorem	theorem	VERB
ejpam-2317	112	1	2.1.2	2.1.2	NUM
ejpam-2317	112	2	]	]	X
ejpam-2317	112	3	f	f	X
ejpam-2317	112	4	(	(	PUNCT
ejpam-2317	112	5	z	z	NOUN
ejpam-2317	112	6	)	)	PUNCT
ejpam-2317	112	7	=	=	SYM
ejpam-2317	112	8	lim	lim	PROPN
ejpam-2317	112	9	r→1	r→1	PROPN
ejpam-2317	112	10	fr(z	fr(z	NOUN
ejpam-2317	112	11	)	)	PUNCT
ejpam-2317	112	12	=	=	SYM
ejpam-2317	112	13	lim	lim	PROPN
ejpam-2317	112	14	r→1	r→1	PUNCT
ejpam-2317	113	1	∫	∫	PROPN
ejpam-2317	113	2	tn	tn	PROPN
ejpam-2317	114	1	p(z	p(z	PROPN
ejpam-2317	114	2	,	,	PUNCT
ejpam-2317	114	3	ζ	ζ	NOUN
ejpam-2317	114	4	)	)	PUNCT
ejpam-2317	114	5	fr(ζ	fr(ζ	PROPN
ejpam-2317	114	6	)	)	PUNCT
ejpam-2317	114	7	dm(ζ	dm(ζ	NOUN
ejpam-2317	114	8	)	)	PUNCT
ejpam-2317	115	1	=	=	SYM
ejpam-2317	115	2	∫	∫	PROPN
ejpam-2317	115	3	tn	tn	PROPN
ejpam-2317	115	4	f	f	PROPN
ejpam-2317	115	5	∗(ζ	∗(ζ	PROPN
ejpam-2317	115	6	)	)	PUNCT
ejpam-2317	115	7	dm(ζ	dm(ζ	NOUN
ejpam-2317	115	8	)	)	PUNCT
ejpam-2317	115	9	.	.	PUNCT
ejpam-2317	116	1	3	3	X
ejpam-2317	116	2	.	.	X
ejpam-2317	116	3	the	the	DET
ejpam-2317	116	4	f.	f.	PROPN
ejpam-2317	116	5	and	and	CCONJ
ejpam-2317	116	6	m.	m.	NOUN
ejpam-2317	116	7	riesz	riesz	PROPN
ejpam-2317	116	8	theorem	theorem	VERB
ejpam-2317	116	9	now	now	ADV
ejpam-2317	116	10	we	we	PRON
ejpam-2317	116	11	want	want	VERB
ejpam-2317	116	12	to	to	PART
ejpam-2317	116	13	generalize	generalize	VERB
ejpam-2317	116	14	the	the	DET
ejpam-2317	116	15	f.	f.	PROPN
ejpam-2317	116	16	and	and	CCONJ
ejpam-2317	116	17	m.	m.	PROPN
ejpam-2317	116	18	riesz	riesz	PROPN
ejpam-2317	116	19	theorem	theorem	PROPN
ejpam-2317	116	20	.	.	PUNCT
ejpam-2317	116	21	theorem	theorem	PROPN
ejpam-2317	116	22	7	7	NUM
ejpam-2317	116	23	.	.	PUNCT
ejpam-2317	116	24	let	let	VERB
ejpam-2317	116	25	µ	µ	X
ejpam-2317	116	26	be	be	AUX
ejpam-2317	116	27	a	a	DET
ejpam-2317	116	28	complex	complex	ADJ
ejpam-2317	116	29	borel	borel	NOUN
ejpam-2317	116	30	measure	measure	NOUN
ejpam-2317	116	31	on	on	ADP
ejpam-2317	116	32	tn	tn	PROPN
ejpam-2317	116	33	.	.	PUNCT
ejpam-2317	117	1	if	if	SCONJ
ejpam-2317	117	2	∫	∫	PROPN
ejpam-2317	117	3	tn	tn	PROPN
ejpam-2317	117	4	ei(kθ	ei(kθ	PROPN
ejpam-2317	117	5	)	)	PUNCT
ejpam-2317	117	6	dµ(θ	dµ(θ	PUNCT
ejpam-2317	117	7	)	)	PUNCT
ejpam-2317	118	1	=	=	SYM
ejpam-2317	118	2	0	0	NUM
ejpam-2317	119	1	for	for	ADP
ejpam-2317	119	2	k	k	PROPN
ejpam-2317	119	3	=	=	SYM
ejpam-2317	119	4	(	(	PUNCT
ejpam-2317	119	5	k1	k1	PROPN
ejpam-2317	119	6	,	,	PUNCT
ejpam-2317	119	7	.	.	PUNCT
ejpam-2317	119	8	.	.	PUNCT
ejpam-2317	119	9	.	.	PUNCT
ejpam-2317	120	1	,	,	PUNCT
ejpam-2317	120	2	kn	kn	PROPN
ejpam-2317	120	3	)	)	PUNCT
ejpam-2317	120	4	∈	∈	PROPN
ejpam-2317	120	5	z	z	NOUN
ejpam-2317	120	6	n	n	NOUN
ejpam-2317	120	7	with	with	ADP
ejpam-2317	120	8	at	at	ADV
ejpam-2317	120	9	least	least	ADV
ejpam-2317	120	10	one	one	NUM
ejpam-2317	120	11	k	k	PROPN
ejpam-2317	120	12	j	j	PROPN
ejpam-2317	120	13	,	,	PUNCT
ejpam-2317	120	14	j	j	PROPN
ejpam-2317	120	15	=	=	SYM
ejpam-2317	120	16	1,2	1,2	NUM
ejpam-2317	120	17	,	,	PUNCT
ejpam-2317	120	18	.	.	PUNCT
ejpam-2317	120	19	.	.	PUNCT
ejpam-2317	121	1	.	.	PUNCT
ejpam-2317	122	1	,	,	PUNCT
ejpam-2317	123	1	n	n	PRON
ejpam-2317	123	2	positive	positive	ADJ
ejpam-2317	123	3	,	,	PUNCT
ejpam-2317	123	4	where	where	SCONJ
ejpam-2317	123	5	(	(	PUNCT
ejpam-2317	123	6	kθ	kθ	NOUN
ejpam-2317	123	7	)	)	PUNCT
ejpam-2317	123	8	=	=	PUNCT
ejpam-2317	124	1	k1θ1	k1θ1	PUNCT
ejpam-2317	125	1	+	+	X
ejpam-2317	125	2	.	.	PUNCT
ejpam-2317	125	3	.	.	PUNCT
ejpam-2317	126	1	.+	.+	NOUN
ejpam-2317	126	2	knθn	knθn	NOUN
ejpam-2317	126	3	then	then	ADV
ejpam-2317	126	4	µ	µ	NOUN
ejpam-2317	126	5	is	be	AUX
ejpam-2317	126	6	absolutely	absolutely	ADV
ejpam-2317	126	7	continuous	continuous	ADJ
ejpam-2317	126	8	with	with	ADP
ejpam-2317	126	9	respect	respect	NOUN
ejpam-2317	126	10	to	to	ADP
ejpam-2317	126	11	dm	dm	PROPN
ejpam-2317	126	12	.	.	PUNCT
ejpam-2317	127	1	k.	k.	PROPN
ejpam-2317	127	2	shrestha	shrestha	PROPN
ejpam-2317	127	3	/	/	SYM
ejpam-2317	127	4	eur	eur	PROPN
ejpam-2317	127	5	.	.	PUNCT
ejpam-2317	128	1	j.	j.	PROPN
ejpam-2317	128	2	pure	pure	PROPN
ejpam-2317	128	3	appl	appl	PROPN
ejpam-2317	128	4	.	.	PROPN
ejpam-2317	128	5	math	math	PROPN
ejpam-2317	128	6	,	,	PUNCT
ejpam-2317	128	7	9	9	NUM
ejpam-2317	128	8	(	(	PUNCT
ejpam-2317	128	9	2016	2016	NUM
ejpam-2317	128	10	)	)	PUNCT
ejpam-2317	128	11	,	,	PUNCT
ejpam-2317	128	12	292	292	NUM
ejpam-2317	128	13	-	-	SYM
ejpam-2317	128	14	304	304	NUM
ejpam-2317	128	15	296	296	NUM
ejpam-2317	128	16	(	(	PUNCT
ejpam-2317	128	17	when	when	SCONJ
ejpam-2317	128	18	n=	n=	ADJ
ejpam-2317	128	19	1	1	NUM
ejpam-2317	128	20	see	see	VERB
ejpam-2317	128	21	[	[	X
ejpam-2317	128	22	6	6	NUM
ejpam-2317	128	23	,	,	PUNCT
ejpam-2317	128	24	theorem	theorem	VERB
ejpam-2317	128	25	17.13	17.13	NUM
ejpam-2317	128	26	]	]	PUNCT
ejpam-2317	128	27	.	.	PUNCT
ejpam-2317	128	28	)	)	PUNCT
ejpam-2317	129	1	proof	proof	NOUN
ejpam-2317	129	2	.	.	PUNCT
ejpam-2317	130	1	define	define	VERB
ejpam-2317	130	2	f	f	X
ejpam-2317	130	3	(	(	PUNCT
ejpam-2317	130	4	z	z	NOUN
ejpam-2317	130	5	)	)	PUNCT
ejpam-2317	130	6	=	=	SYM
ejpam-2317	130	7	p[dµ](z	p[dµ](z	PROPN
ejpam-2317	130	8	)	)	PUNCT
ejpam-2317	130	9	.	.	PUNCT
ejpam-2317	131	1	then	then	ADV
ejpam-2317	131	2	,	,	PUNCT
ejpam-2317	131	3	with	with	ADP
ejpam-2317	131	4	the	the	DET
ejpam-2317	131	5	notations	notation	NOUN
ejpam-2317	131	6	z	z	PROPN
ejpam-2317	131	7	=(	=(	NOUN
ejpam-2317	131	8	z1	z1	PROPN
ejpam-2317	131	9	,	,	PUNCT
ejpam-2317	131	10	.	.	PUNCT
ejpam-2317	131	11	.	.	PUNCT
ejpam-2317	131	12	.	.	PUNCT
ejpam-2317	132	1	,	,	PUNCT
ejpam-2317	132	2	zn	zn	X
ejpam-2317	132	3	)	)	PUNCT
ejpam-2317	132	4	with	with	ADP
ejpam-2317	132	5	z	z	PROPN
ejpam-2317	132	6	j	j	PROPN
ejpam-2317	133	1	=	=	SYM
ejpam-2317	133	2	r	r	NOUN
ejpam-2317	133	3	je	je	PROPN
ejpam-2317	133	4	iθ	iθ	NOUN
ejpam-2317	133	5	j	j	PROPN
ejpam-2317	133	6	,	,	PUNCT
ejpam-2317	133	7	j	j	PROPN
ejpam-2317	133	8	=	=	NOUN
ejpam-2317	133	9	1	1	NUM
ejpam-2317	133	10	,	,	PUNCT
ejpam-2317	133	11	.	.	PUNCT
ejpam-2317	133	12	.	.	PUNCT
ejpam-2317	133	13	.	.	PUNCT
ejpam-2317	134	1	,	,	PUNCT
ejpam-2317	134	2	n	n	CCONJ
ejpam-2317	134	3	r	r	NOUN
ejpam-2317	134	4	|k|	|k|	NOUN
ejpam-2317	134	5	=	=	NOUN
ejpam-2317	134	6	r	r	NOUN
ejpam-2317	134	7	|k1|	|k1|	NOUN
ejpam-2317	134	8	1	1	NUM
ejpam-2317	134	9	.	.	PUNCT
ejpam-2317	134	10	.	.	PUNCT
ejpam-2317	134	11	.	.	PUNCT
ejpam-2317	135	1	r	r	NOUN
ejpam-2317	135	2	|kn|	|kn|	PROPN
ejpam-2317	135	3	n	n	NOUN
ejpam-2317	135	4	(	(	PUNCT
ejpam-2317	135	5	k	k	X
ejpam-2317	135	6	·	·	PUNCT
ejpam-2317	135	7	θ	θ	NOUN
ejpam-2317	135	8	)	)	PUNCT
ejpam-2317	136	1	=	=	X
ejpam-2317	136	2	k1θ1	k1θ1	NOUN
ejpam-2317	136	3	+	+	X
ejpam-2317	136	4	.	.	PUNCT
ejpam-2317	136	5	.	.	PUNCT
ejpam-2317	137	1	.+	.+	NOUN
ejpam-2317	137	2	knθn	knθn	NOUN
ejpam-2317	137	3	(	(	PUNCT
ejpam-2317	137	4	k	k	PROPN
ejpam-2317	137	5	·	·	PUNCT
ejpam-2317	137	6	t	t	X
ejpam-2317	137	7	)	)	PUNCT
ejpam-2317	137	8	=	=	NOUN
ejpam-2317	137	9	k1	k1	NOUN
ejpam-2317	137	10	t1	t1	NOUN
ejpam-2317	137	11	+	+	X
ejpam-2317	137	12	.	.	PUNCT
ejpam-2317	137	13	.	.	PUNCT
ejpam-2317	138	1	.+	.+	NOUN
ejpam-2317	138	2	kn	kn	PROPN
ejpam-2317	138	3	tn	tn	PROPN
ejpam-2317	138	4	and	and	CCONJ
ejpam-2317	138	5	using	use	VERB
ejpam-2317	138	6	the	the	DET
ejpam-2317	138	7	series	series	NOUN
ejpam-2317	138	8	representation	representation	NOUN
ejpam-2317	138	9	for	for	ADP
ejpam-2317	138	10	the	the	DET
ejpam-2317	138	11	poisson	poisson	PROPN
ejpam-2317	138	12	kernel	kernel	PROPN
ejpam-2317	138	13	,	,	PUNCT
ejpam-2317	138	14	we	we	PRON
ejpam-2317	138	15	get	get	VERB
ejpam-2317	138	16	f	f	PROPN
ejpam-2317	138	17	(	(	PUNCT
ejpam-2317	138	18	z	z	NOUN
ejpam-2317	138	19	)	)	PUNCT
ejpam-2317	138	20	=	=	SYM
ejpam-2317	138	21	∫	∫	PROPN
ejpam-2317	138	22	tn	tn	PROPN
ejpam-2317	138	23	p(z	p(z	PROPN
ejpam-2317	138	24	,	,	PUNCT
ejpam-2317	138	25	ei	ei	PROPN
ejpam-2317	138	26	t	t	PROPN
ejpam-2317	138	27	)	)	PUNCT
ejpam-2317	138	28	dµ(t	dµ(t	NOUN
ejpam-2317	138	29	)	)	PUNCT
ejpam-2317	139	1	=	=	SYM
ejpam-2317	139	2	∫	∫	PROPN
ejpam-2317	139	3	tn	tn	PROPN
ejpam-2317	139	4	∑	∑	PROPN
ejpam-2317	139	5	k∈zn	k∈zn	PROPN
ejpam-2317	139	6	r	r	NOUN
ejpam-2317	139	7	|k|ei(k·θ	|k|ei(k·θ	NOUN
ejpam-2317	139	8	)	)	PUNCT
ejpam-2317	139	9	e−i(k·t	e−i(k·t	NOUN
ejpam-2317	139	10	)	)	PUNCT
ejpam-2317	139	11	!	!	PUNCT
ejpam-2317	140	1	dµ(t	dµ(t	PUNCT
ejpam-2317	140	2	)	)	PUNCT
ejpam-2317	140	3	=	=	SYM
ejpam-2317	140	4	∑	∑	PUNCT
ejpam-2317	140	5	k∈zn	k∈zn	PROPN
ejpam-2317	140	6	�	�	PROPN
ejpam-2317	140	7	∫	∫	PROPN
ejpam-2317	140	8	tn	tn	PROPN
ejpam-2317	140	9	e−i(k·t)dµ(t	e−i(k·t)dµ(t	PROPN
ejpam-2317	140	10	)	)	PUNCT
ejpam-2317	140	11	�	�	PROPN
ejpam-2317	140	12	r	r	NOUN
ejpam-2317	140	13	|k|ei(k·θ	|k|ei(k·θ	NOUN
ejpam-2317	140	14	)	)	PUNCT
ejpam-2317	141	1	=	=	SYM
ejpam-2317	141	2	∑	∑	PUNCT
ejpam-2317	141	3	k∈zn	k∈zn	PROPN
ejpam-2317	141	4	+	+	CCONJ
ejpam-2317	141	5	ckzk	ckzk	VERB
ejpam-2317	141	6	where	where	SCONJ
ejpam-2317	141	7	ck	ck	ADV
ejpam-2317	141	8	=	=	SYM
ejpam-2317	141	9	∫	∫	PROPN
ejpam-2317	141	10	tn	tn	PROPN
ejpam-2317	141	11	e−i(k·t	e−i(k·t	PROPN
ejpam-2317	141	12	)	)	PUNCT
ejpam-2317	141	13	dµ(t	dµ(t	NOUN
ejpam-2317	141	14	)	)	PUNCT
ejpam-2317	141	15	and	and	CCONJ
ejpam-2317	141	16	zk	zk	X
ejpam-2317	141	17	=	=	SYM
ejpam-2317	141	18	r	r	NOUN
ejpam-2317	141	19	|k|ei(k·θ	|k|ei(k·θ	NOUN
ejpam-2317	141	20	)	)	PUNCT
ejpam-2317	141	21	.	.	PUNCT
ejpam-2317	142	1	notice	notice	VERB
ejpam-2317	142	2	that	that	SCONJ
ejpam-2317	142	3	all	all	DET
ejpam-2317	142	4	other	other	ADJ
ejpam-2317	142	5	integrals	integral	NOUN
ejpam-2317	142	6	in	in	ADP
ejpam-2317	142	7	the	the	DET
ejpam-2317	142	8	above	above	ADJ
ejpam-2317	142	9	sum	sum	NOUN
ejpam-2317	142	10	vanish	vanish	VERB
ejpam-2317	142	11	by	by	ADP
ejpam-2317	142	12	the	the	DET
ejpam-2317	142	13	hypothesis	hypothesis	NOUN
ejpam-2317	142	14	.	.	PUNCT
ejpam-2317	143	1	thus	thus	ADV
ejpam-2317	143	2	f	f	X
ejpam-2317	143	3	(	(	PUNCT
ejpam-2317	143	4	z	z	NOUN
ejpam-2317	143	5	)	)	PUNCT
ejpam-2317	143	6	is	be	AUX
ejpam-2317	143	7	holomorphic	holomorphic	ADJ
ejpam-2317	143	8	.	.	PUNCT
ejpam-2317	144	1	for	for	ADP
ejpam-2317	144	2	0≤	0≤	NUM
ejpam-2317	144	3	r	r	NOUN
ejpam-2317	144	4	<	<	X
ejpam-2317	144	5	1	1	NUM
ejpam-2317	144	6	,	,	PUNCT
ejpam-2317	144	7	∫	∫	PROPN
ejpam-2317	144	8	tn	tn	PROPN
ejpam-2317	144	9	|	|	ADV
ejpam-2317	144	10	fr(ζ)|	fr(ζ)|	VERB
ejpam-2317	144	11	dm(ζ	dm(ζ	NOUN
ejpam-2317	144	12	)	)	PUNCT
ejpam-2317	145	1	=	=	SYM
ejpam-2317	145	2	∫	∫	PROPN
ejpam-2317	145	3	tn	tn	PROPN
ejpam-2317	145	4	�	�	PROPN
ejpam-2317	145	5	�	�	PROPN
ejpam-2317	145	6	�	�	PROPN
ejpam-2317	145	7	�	�	PROPN
ejpam-2317	145	8	�	�	PROPN
ejpam-2317	145	9	∫	∫	PROPN
ejpam-2317	145	10	tn	tn	PROPN
ejpam-2317	145	11	p(rζ	p(rζ	PROPN
ejpam-2317	145	12	,	,	PUNCT
ejpam-2317	145	13	η	η	NOUN
ejpam-2317	145	14	)	)	PUNCT
ejpam-2317	145	15	dµ(η	dµ(η	NOUN
ejpam-2317	145	16	)	)	PUNCT
ejpam-2317	145	17	�	�	PROPN
ejpam-2317	145	18	�	�	PROPN
ejpam-2317	145	19	�	�	PROPN
ejpam-2317	145	20	�	�	PROPN
ejpam-2317	145	21	�	�	PROPN
ejpam-2317	145	22	dm(ζ	dm(ζ	PROPN
ejpam-2317	145	23	)	)	PUNCT
ejpam-2317	145	24	≤	≤	NUM
ejpam-2317	145	25	∫	∫	PROPN
ejpam-2317	145	26	tn	tn	PROPN
ejpam-2317	145	27	�	�	PROPN
ejpam-2317	145	28	∫	∫	PROPN
ejpam-2317	145	29	tn	tn	PROPN
ejpam-2317	145	30	p(rζ	p(rζ	PROPN
ejpam-2317	145	31	,	,	PUNCT
ejpam-2317	145	32	η	η	NOUN
ejpam-2317	145	33	)	)	PUNCT
ejpam-2317	145	34	d|µ|(η	d|µ|(η	ADJ
ejpam-2317	145	35	)	)	PUNCT
ejpam-2317	145	36	�	�	PROPN
ejpam-2317	145	37	dm(ζ	dm(ζ	PROPN
ejpam-2317	145	38	)	)	PUNCT
ejpam-2317	146	1	=	=	SYM
ejpam-2317	146	2	∫	∫	PROPN
ejpam-2317	146	3	tn	tn	PROPN
ejpam-2317	146	4	�	�	PROPN
ejpam-2317	146	5	∫	∫	PROPN
ejpam-2317	146	6	tn	tn	PROPN
ejpam-2317	146	7	p(rζ	p(rζ	PROPN
ejpam-2317	146	8	,	,	PUNCT
ejpam-2317	146	9	η	η	NOUN
ejpam-2317	146	10	)	)	PUNCT
ejpam-2317	146	11	dm(ζ	dm(ζ	PROPN
ejpam-2317	146	12	)	)	PUNCT
ejpam-2317	146	13	�	�	PROPN
ejpam-2317	146	14	d|µ|(η	d|µ|(η	PROPN
ejpam-2317	146	15	)	)	PUNCT
ejpam-2317	147	1	=	=	NOUN
ejpam-2317	147	2	‖µ‖.	‖µ‖.	X
ejpam-2317	147	3	thus	thus	ADV
ejpam-2317	147	4	f	f	PROPN
ejpam-2317	147	5	∈	∈	PROPN
ejpam-2317	147	6	h1(dn	h1(dn	PROPN
ejpam-2317	147	7	)	)	PUNCT
ejpam-2317	147	8	and	and	CCONJ
ejpam-2317	147	9	hence	hence	ADV
ejpam-2317	147	10	f	f	X
ejpam-2317	147	11	(	(	PUNCT
ejpam-2317	147	12	z	z	NOUN
ejpam-2317	147	13	)	)	PUNCT
ejpam-2317	147	14	=	=	SYM
ejpam-2317	148	1	p	p	X
ejpam-2317	148	2	[	[	PUNCT
ejpam-2317	148	3	f	f	PROPN
ejpam-2317	148	4	∗](z	∗](z	PROPN
ejpam-2317	148	5	)	)	PUNCT
ejpam-2317	148	6	,	,	PUNCT
ejpam-2317	148	7	where	where	SCONJ
ejpam-2317	148	8	f	f	PROPN
ejpam-2317	148	9	∗	∗	X
ejpam-2317	148	10	∈	∈	PROPN
ejpam-2317	148	11	l1(tn	l1(tn	PROPN
ejpam-2317	148	12	)	)	PUNCT
ejpam-2317	148	13	.	.	PUNCT
ejpam-2317	149	1	now	now	ADV
ejpam-2317	149	2	the	the	DET
ejpam-2317	149	3	uniqueness	uniqueness	NOUN
ejpam-2317	149	4	of	of	ADP
ejpam-2317	149	5	the	the	DET
ejpam-2317	149	6	poisson	poisson	NOUN
ejpam-2317	149	7	integral	integral	ADJ
ejpam-2317	149	8	representation	representation	NOUN
ejpam-2317	149	9	shows	show	VERB
ejpam-2317	149	10	that	that	SCONJ
ejpam-2317	149	11	dµ=	dµ=	PROPN
ejpam-2317	149	12	f	f	PROPN
ejpam-2317	149	13	∗dm	∗dm	PROPN
ejpam-2317	149	14	and	and	CCONJ
ejpam-2317	149	15	the	the	DET
ejpam-2317	149	16	proof	proof	NOUN
ejpam-2317	149	17	is	be	AUX
ejpam-2317	149	18	completed	complete	VERB
ejpam-2317	149	19	.	.	PUNCT
ejpam-2317	150	1	k.	k.	PROPN
ejpam-2317	150	2	shrestha	shrestha	PROPN
ejpam-2317	150	3	/	/	SYM
ejpam-2317	150	4	eur	eur	PROPN
ejpam-2317	150	5	.	.	PUNCT
ejpam-2317	151	1	j.	j.	PROPN
ejpam-2317	151	2	pure	pure	PROPN
ejpam-2317	151	3	appl	appl	PROPN
ejpam-2317	151	4	.	.	PROPN
ejpam-2317	151	5	math	math	PROPN
ejpam-2317	151	6	,	,	PUNCT
ejpam-2317	151	7	9	9	NUM
ejpam-2317	151	8	(	(	PUNCT
ejpam-2317	151	9	2016	2016	NUM
ejpam-2317	151	10	)	)	PUNCT
ejpam-2317	151	11	,	,	PUNCT
ejpam-2317	151	12	292	292	NUM
ejpam-2317	151	13	-	-	SYM
ejpam-2317	151	14	304	304	NUM
ejpam-2317	151	15	297	297	NUM
ejpam-2317	151	16	4	4	NUM
ejpam-2317	151	17	.	.	PUNCT
ejpam-2317	152	1	boundary	boundary	ADJ
ejpam-2317	152	2	values	value	NOUN
ejpam-2317	152	3	do	do	VERB
ejpam-2317	152	4	the	the	DET
ejpam-2317	152	5	boundary	boundary	ADJ
ejpam-2317	152	6	values	value	NOUN
ejpam-2317	152	7	of	of	ADP
ejpam-2317	152	8	functions	function	NOUN
ejpam-2317	152	9	in	in	ADP
ejpam-2317	152	10	h	h	PROPN
ejpam-2317	152	11	p(dn	p(dn	PROPN
ejpam-2317	152	12	)	)	PUNCT
ejpam-2317	152	13	exist	exist	VERB
ejpam-2317	152	14	on	on	ADP
ejpam-2317	152	15	the	the	DET
ejpam-2317	152	16	non	non	ADJ
ejpam-2317	152	17	-	-	ADJ
ejpam-2317	152	18	distinguished	distinguished	ADJ
ejpam-2317	152	19	boundary	boundary	NOUN
ejpam-2317	152	20	?	?	PUNCT
ejpam-2317	153	1	now	now	ADV
ejpam-2317	153	2	we	we	PRON
ejpam-2317	153	3	want	want	VERB
ejpam-2317	153	4	to	to	PART
ejpam-2317	153	5	look	look	VERB
ejpam-2317	153	6	into	into	ADP
ejpam-2317	153	7	this	this	DET
ejpam-2317	153	8	question	question	NOUN
ejpam-2317	153	9	.	.	PUNCT
ejpam-2317	154	1	let	let	VERB
ejpam-2317	154	2	{	{	PUNCT
ejpam-2317	154	3	j1	j1	PROPN
ejpam-2317	154	4	,	,	PUNCT
ejpam-2317	154	5	.	.	PUNCT
ejpam-2317	154	6	.	.	PUNCT
ejpam-2317	154	7	.	.	PUNCT
ejpam-2317	155	1	,	,	PUNCT
ejpam-2317	155	2	jk	jk	PROPN
ejpam-2317	155	3	}	}	PUNCT
ejpam-2317	155	4	and	and	CCONJ
ejpam-2317	155	5	{	{	PUNCT
ejpam-2317	155	6	i1	i1	NOUN
ejpam-2317	155	7	,	,	PUNCT
ejpam-2317	155	8	.	.	PUNCT
ejpam-2317	155	9	.	.	PUNCT
ejpam-2317	155	10	.	.	PUNCT
ejpam-2317	156	1	,	,	PUNCT
ejpam-2317	156	2	il	il	AUX
ejpam-2317	156	3	}	}	PUNCT
ejpam-2317	156	4	be	be	AUX
ejpam-2317	156	5	disjoint	disjoint	NOUN
ejpam-2317	156	6	sets	set	NOUN
ejpam-2317	156	7	of	of	ADP
ejpam-2317	156	8	indices	index	NOUN
ejpam-2317	156	9	such	such	ADJ
ejpam-2317	156	10	that	that	SCONJ
ejpam-2317	156	11	their	their	PRON
ejpam-2317	156	12	union	union	NOUN
ejpam-2317	156	13	is	be	AUX
ejpam-2317	156	14	{	{	PUNCT
ejpam-2317	156	15	1	1	NUM
ejpam-2317	156	16	,	,	PUNCT
ejpam-2317	156	17	.	.	PUNCT
ejpam-2317	156	18	.	.	PUNCT
ejpam-2317	157	1	.	.	PUNCT
ejpam-2317	158	1	,	,	PUNCT
ejpam-2317	158	2	n	n	CCONJ
ejpam-2317	158	3	}	}	PUNCT
ejpam-2317	158	4	where	where	SCONJ
ejpam-2317	158	5	j1	j1	PROPN
ejpam-2317	158	6	<	<	X
ejpam-2317	158	7	j2	j2	PROPN
ejpam-2317	158	8	<	<	X
ejpam-2317	158	9	.	.	PUNCT
ejpam-2317	158	10	.	.	PUNCT
ejpam-2317	159	1	.	.	PUNCT
ejpam-2317	160	1	<	<	X
ejpam-2317	160	2	jk	jk	PROPN
ejpam-2317	160	3	and	and	CCONJ
ejpam-2317	160	4	i1	i1	PROPN
ejpam-2317	160	5	<	<	X
ejpam-2317	160	6	i2	i2	PROPN
ejpam-2317	160	7	<	<	X
ejpam-2317	160	8	.	.	PUNCT
ejpam-2317	160	9	.	.	PUNCT
ejpam-2317	160	10	.	.	PUNCT
ejpam-2317	161	1	<	<	X
ejpam-2317	161	2	il	il	PROPN
ejpam-2317	161	3	.	.	PUNCT
ejpam-2317	162	1	define	define	VERB
ejpam-2317	162	2	the	the	DET
ejpam-2317	162	3	sections	section	NOUN
ejpam-2317	162	4	of	of	ADP
ejpam-2317	162	5	dn	dn	PROPN
ejpam-2317	162	6	as	as	SCONJ
ejpam-2317	162	7	follows	follow	VERB
ejpam-2317	162	8	d	d	PROPN
ejpam-2317	162	9	n	n	PROPN
ejpam-2317	162	10	z	z	PROPN
ejpam-2317	162	11	j1	j1	PROPN
ejpam-2317	162	12	,	,	PUNCT
ejpam-2317	162	13	...	...	PUNCT
ejpam-2317	162	14	,	,	PUNCT
ejpam-2317	162	15	z	z	PROPN
ejpam-2317	162	16	jk	jk	PROPN
ejpam-2317	162	17	=	=	PUNCT
ejpam-2317	162	18	{	{	PUNCT
ejpam-2317	162	19	(	(	PUNCT
ejpam-2317	162	20	z1	z1	PROPN
ejpam-2317	162	21	,	,	PUNCT
ejpam-2317	162	22	.	.	PUNCT
ejpam-2317	162	23	.	.	PUNCT
ejpam-2317	163	1	.	.	PUNCT
ejpam-2317	164	1	,	,	PUNCT
ejpam-2317	164	2	zn	zn	X
ejpam-2317	164	3	)	)	PUNCT
ejpam-2317	164	4	∈	∈	PROPN
ejpam-2317	164	5	d	d	NOUN
ejpam-2317	164	6	n	n	PROPN
ejpam-2317	164	7	:	:	PUNCT
ejpam-2317	164	8	z	z	NOUN
ejpam-2317	164	9	j1	j1	PROPN
ejpam-2317	164	10	,	,	PUNCT
ejpam-2317	164	11	.	.	PUNCT
ejpam-2317	164	12	.	.	PUNCT
ejpam-2317	164	13	.	.	PUNCT
ejpam-2317	165	1	,	,	PUNCT
ejpam-2317	165	2	z	z	PROPN
ejpam-2317	165	3	jk	jk	PROPN
ejpam-2317	165	4	are	be	AUX
ejpam-2317	165	5	fixed	fix	VERB
ejpam-2317	165	6	}	}	PUNCT
ejpam-2317	165	7	and	and	CCONJ
ejpam-2317	165	8	define	define	VERB
ejpam-2317	165	9	fz	fz	VERB
ejpam-2317	165	10	j1	j1	PROPN
ejpam-2317	165	11	,	,	PUNCT
ejpam-2317	165	12	...	...	PUNCT
ejpam-2317	165	13	,	,	PUNCT
ejpam-2317	166	1	z	z	PROPN
ejpam-2317	166	2	jk	jk	NOUN
ejpam-2317	166	3	=	=	PUNCT
ejpam-2317	166	4	f	f	PROPN
ejpam-2317	166	5	|dn	|dn	NUM
ejpam-2317	166	6	z	z	PROPN
ejpam-2317	166	7	j1	j1	PROPN
ejpam-2317	166	8	,	,	PUNCT
ejpam-2317	166	9	...	...	PUNCT
ejpam-2317	166	10	,	,	PUNCT
ejpam-2317	166	11	z	z	PROPN
ejpam-2317	166	12	jk	jk	PROPN
ejpam-2317	166	13	.	.	PUNCT
ejpam-2317	167	1	we	we	PRON
ejpam-2317	167	2	will	will	AUX
ejpam-2317	167	3	write	write	VERB
ejpam-2317	167	4	fz	fz	ADP
ejpam-2317	167	5	j1	j1	PROPN
ejpam-2317	167	6	,	,	PUNCT
ejpam-2317	167	7	...	...	PUNCT
ejpam-2317	167	8	,	,	PUNCT
ejpam-2317	167	9	z	z	PROPN
ejpam-2317	167	10	jk	jk	PROPN
ejpam-2317	167	11	(	(	PUNCT
ejpam-2317	167	12	zi1	zi1	PROPN
ejpam-2317	167	13	,	,	PUNCT
ejpam-2317	167	14	.	.	PUNCT
ejpam-2317	167	15	.	.	PUNCT
ejpam-2317	168	1	.	.	PUNCT
ejpam-2317	169	1	,	,	PUNCT
ejpam-2317	169	2	zil	zil	PROPN
ejpam-2317	169	3	)	)	PUNCT
ejpam-2317	169	4	instead	instead	ADV
ejpam-2317	169	5	of	of	ADP
ejpam-2317	169	6	fz	fz	PROPN
ejpam-2317	169	7	j1	j1	PROPN
ejpam-2317	169	8	,	,	PUNCT
ejpam-2317	169	9	...	...	PUNCT
ejpam-2317	169	10	,	,	PUNCT
ejpam-2317	169	11	z	z	PROPN
ejpam-2317	169	12	jk	jk	PROPN
ejpam-2317	169	13	(	(	PUNCT
ejpam-2317	169	14	z1	z1	PROPN
ejpam-2317	169	15	,	,	PUNCT
ejpam-2317	169	16	.	.	PUNCT
ejpam-2317	169	17	.	.	PUNCT
ejpam-2317	169	18	.	.	PUNCT
ejpam-2317	170	1	,	,	PUNCT
ejpam-2317	170	2	zn	zn	X
ejpam-2317	170	3	)	)	PUNCT
ejpam-2317	170	4	.	.	PUNCT
ejpam-2317	171	1	we	we	PRON
ejpam-2317	171	2	will	will	AUX
ejpam-2317	171	3	see	see	VERB
ejpam-2317	171	4	below	below	ADP
ejpam-2317	171	5	that	that	PRON
ejpam-2317	171	6	for	for	ADP
ejpam-2317	171	7	f	f	PROPN
ejpam-2317	171	8	∈	∈	PROPN
ejpam-2317	171	9	h	h	NOUN
ejpam-2317	171	10	p(dn	p(dn	PROPN
ejpam-2317	171	11	)	)	PUNCT
ejpam-2317	171	12	,	,	PUNCT
ejpam-2317	171	13	1	1	NUM
ejpam-2317	171	14	≤	≤	NOUN
ejpam-2317	171	15	p	p	X
ejpam-2317	171	16	<	<	X
ejpam-2317	171	17	∞	∞	PROPN
ejpam-2317	171	18	,	,	PUNCT
ejpam-2317	171	19	the	the	DET
ejpam-2317	171	20	non	non	ADJ
ejpam-2317	171	21	-	-	ADJ
ejpam-2317	171	22	tangential	tangential	ADJ
ejpam-2317	171	23	limit	limit	NOUN
ejpam-2317	171	24	of	of	ADP
ejpam-2317	171	25	fz	fz	PROPN
ejpam-2317	171	26	j1	j1	PROPN
ejpam-2317	171	27	,	,	PUNCT
ejpam-2317	171	28	...	...	PUNCT
ejpam-2317	171	29	,	,	PUNCT
ejpam-2317	171	30	z	z	PROPN
ejpam-2317	171	31	jk	jk	PROPN
ejpam-2317	171	32	exists	exist	VERB
ejpam-2317	171	33	at	at	ADP
ejpam-2317	171	34	almost	almost	ADV
ejpam-2317	171	35	all	all	PRON
ejpam-2317	171	36	points	point	NOUN
ejpam-2317	171	37	of	of	ADP
ejpam-2317	171	38	the	the	DET
ejpam-2317	171	39	distinguished	distinguished	ADJ
ejpam-2317	171	40	boundary	boundary	NOUN
ejpam-2317	171	41	of	of	ADP
ejpam-2317	171	42	the	the	DET
ejpam-2317	171	43	section	section	NOUN
ejpam-2317	171	44	dn	dn	PROPN
ejpam-2317	171	45	z	z	PROPN
ejpam-2317	171	46	j1	j1	PROPN
ejpam-2317	171	47	,	,	PUNCT
ejpam-2317	171	48	...	...	PUNCT
ejpam-2317	171	49	,	,	PUNCT
ejpam-2317	171	50	z	z	PROPN
ejpam-2317	171	51	jk	jk	PROPN
ejpam-2317	171	52	which	which	PRON
ejpam-2317	171	53	is	be	AUX
ejpam-2317	171	54	tl	tl	PROPN
ejpam-2317	171	55	and	and	CCONJ
ejpam-2317	171	56	the	the	DET
ejpam-2317	171	57	function	function	NOUN
ejpam-2317	171	58	fz	fz	VERB
ejpam-2317	171	59	j1	j1	PROPN
ejpam-2317	171	60	,	,	PUNCT
ejpam-2317	171	61	...	...	PUNCT
ejpam-2317	171	62	,	,	PUNCT
ejpam-2317	171	63	z	z	PROPN
ejpam-2317	171	64	jk	jk	PROPN
ejpam-2317	171	65	can	can	AUX
ejpam-2317	171	66	be	be	AUX
ejpam-2317	171	67	restored	restore	VERB
ejpam-2317	171	68	by	by	ADP
ejpam-2317	171	69	the	the	DET
ejpam-2317	171	70	poisson	poisson	NOUN
ejpam-2317	171	71	integral	integral	ADJ
ejpam-2317	171	72	of	of	ADP
ejpam-2317	171	73	this	this	DET
ejpam-2317	171	74	limit	limit	NOUN
ejpam-2317	171	75	.	.	PUNCT
ejpam-2317	172	1	theorem	theorem	ADJ
ejpam-2317	172	2	8	8	NUM
ejpam-2317	172	3	.	.	PUNCT
ejpam-2317	173	1	let	let	VERB
ejpam-2317	173	2	f	f	PRON
ejpam-2317	173	3	∈	∈	PROPN
ejpam-2317	173	4	h	h	NOUN
ejpam-2317	173	5	p(dn	p(dn	PROPN
ejpam-2317	173	6	)	)	PUNCT
ejpam-2317	173	7	,	,	PUNCT
ejpam-2317	173	8	1≤	1≤	X
ejpam-2317	173	9	p	p	X
ejpam-2317	173	10	<	<	X
ejpam-2317	173	11	∞.	∞.	PROPN
ejpam-2317	173	12	then	then	ADV
ejpam-2317	173	13	fz	fz	VERB
ejpam-2317	173	14	j1	j1	PROPN
ejpam-2317	173	15	,	,	PUNCT
ejpam-2317	173	16	...	...	PUNCT
ejpam-2317	173	17	,	,	PUNCT
ejpam-2317	173	18	z	z	PROPN
ejpam-2317	173	19	jk	jk	PROPN
ejpam-2317	173	20	∈	∈	PROPN
ejpam-2317	173	21	h	h	PROPN
ejpam-2317	173	22	p(dl	p(dl	PROPN
ejpam-2317	173	23	)	)	PUNCT
ejpam-2317	173	24	.	.	PUNCT
ejpam-2317	174	1	proof	proof	NOUN
ejpam-2317	174	2	.	.	PUNCT
ejpam-2317	175	1	without	without	ADP
ejpam-2317	175	2	loss	loss	NOUN
ejpam-2317	175	3	of	of	ADP
ejpam-2317	175	4	generality	generality	NOUN
ejpam-2317	175	5	we	we	PRON
ejpam-2317	175	6	suppose	suppose	VERB
ejpam-2317	175	7	that	that	SCONJ
ejpam-2317	175	8	{	{	PUNCT
ejpam-2317	175	9	j1	j1	PROPN
ejpam-2317	175	10	,	,	PUNCT
ejpam-2317	175	11	.	.	PUNCT
ejpam-2317	175	12	.	.	PUNCT
ejpam-2317	176	1	.	.	PUNCT
ejpam-2317	177	1	,	,	PUNCT
ejpam-2317	177	2	jk	jk	NOUN
ejpam-2317	177	3	}	}	PUNCT
ejpam-2317	177	4	=	=	PUNCT
ejpam-2317	177	5	{	{	PUNCT
ejpam-2317	177	6	1	1	NUM
ejpam-2317	177	7	,	,	PUNCT
ejpam-2317	177	8	.	.	PUNCT
ejpam-2317	177	9	.	.	PUNCT
ejpam-2317	177	10	.	.	PUNCT
ejpam-2317	178	1	,	,	PUNCT
ejpam-2317	178	2	k	k	X
ejpam-2317	178	3	}	}	PUNCT
ejpam-2317	178	4	.	.	PUNCT
ejpam-2317	179	1	let	let	VERB
ejpam-2317	179	2	’s	’s	PRON
ejpam-2317	179	3	use	use	VERB
ejpam-2317	179	4	the	the	DET
ejpam-2317	179	5	following	follow	VERB
ejpam-2317	179	6	notations	notation	NOUN
ejpam-2317	179	7	for	for	ADP
ejpam-2317	179	8	the	the	DET
ejpam-2317	179	9	poisson	poisson	PROPN
ejpam-2317	179	10	kernels	kernels	PROPN
ejpam-2317	179	11	pj(ζ	pj(ζ	X
ejpam-2317	179	12	j	j	NOUN
ejpam-2317	179	13	)	)	PUNCT
ejpam-2317	179	14	=	=	PUNCT
ejpam-2317	180	1	¨	¨	NOUN
ejpam-2317	180	2	p(z	p(z	PROPN
ejpam-2317	180	3	j	j	PROPN
ejpam-2317	180	4	,	,	PUNCT
ejpam-2317	180	5	ζ	ζ	PROPN
ejpam-2317	180	6	j	j	NOUN
ejpam-2317	180	7	)	)	PUNCT
ejpam-2317	180	8	j	j	PROPN
ejpam-2317	181	1	=	=	SYM
ejpam-2317	181	2	1	1	NUM
ejpam-2317	181	3	,	,	PUNCT
ejpam-2317	181	4	.	.	PUNCT
ejpam-2317	181	5	.	.	PUNCT
ejpam-2317	182	1	.	.	PUNCT
ejpam-2317	183	1	,	,	PUNCT
ejpam-2317	184	1	k	k	PROPN
ejpam-2317	184	2	p(rξ	p(rξ	PROPN
ejpam-2317	184	3	j	j	PROPN
ejpam-2317	184	4	,	,	PUNCT
ejpam-2317	184	5	ζ	ζ	PROPN
ejpam-2317	184	6	j	j	PROPN
ejpam-2317	184	7	)	)	PUNCT
ejpam-2317	184	8	j	j	PROPN
ejpam-2317	184	9	=	=	PUNCT
ejpam-2317	184	10	k+	k+	PROPN
ejpam-2317	184	11	1	1	NUM
ejpam-2317	184	12	,	,	PUNCT
ejpam-2317	184	13	.	.	PUNCT
ejpam-2317	184	14	.	.	PUNCT
ejpam-2317	185	1	.	.	PUNCT
ejpam-2317	186	1	,	,	PUNCT
ejpam-2317	187	1	n	n	CCONJ
ejpam-2317	187	2	where	where	SCONJ
ejpam-2317	187	3	|ξ	|ξ	VERB
ejpam-2317	187	4	j	j	PROPN
ejpam-2317	187	5	|=	|=	PUNCT
ejpam-2317	187	6	1	1	X
ejpam-2317	187	7	.	.	PUNCT
ejpam-2317	187	8	then	then	ADV
ejpam-2317	187	9	,	,	PUNCT
ejpam-2317	187	10	for	for	ADP
ejpam-2317	187	11	0	0	NUM
ejpam-2317	187	12	<	<	X
ejpam-2317	187	13	r	r	NOUN
ejpam-2317	187	14	<	<	X
ejpam-2317	187	15	1	1	NUM
ejpam-2317	187	16	,	,	PUNCT
ejpam-2317	187	17	by	by	ADP
ejpam-2317	187	18	theorem	theorem	NOUN
ejpam-2317	187	19	6	6	NUM
ejpam-2317	187	20	fz1,	fz1,	NOUN
ejpam-2317	187	21	...	...	PUNCT
ejpam-2317	187	22	,zk	,zk	PUNCT
ejpam-2317	187	23	(	(	PUNCT
ejpam-2317	187	24	rξk+1	rξk+1	NOUN
ejpam-2317	187	25	,	,	PUNCT
ejpam-2317	187	26	.	.	PUNCT
ejpam-2317	187	27	.	.	PUNCT
ejpam-2317	188	1	.	.	PUNCT
ejpam-2317	189	1	,	,	PUNCT
ejpam-2317	189	2	rξn	rξn	ADJ
ejpam-2317	189	3	)	)	PUNCT
ejpam-2317	189	4	=	=	SYM
ejpam-2317	190	1	∫	∫	PROPN
ejpam-2317	190	2	tn	tn	PROPN
ejpam-2317	190	3	p1(ζ1	p1(ζ1	PROPN
ejpam-2317	190	4	)	)	PUNCT
ejpam-2317	190	5	.	.	PUNCT
ejpam-2317	190	6	.	.	PUNCT
ejpam-2317	190	7	.	.	PUNCT
ejpam-2317	191	1	pn(ζn	pn(ζn	NOUN
ejpam-2317	191	2	)	)	PUNCT
ejpam-2317	192	1	f	f	PROPN
ejpam-2317	192	2	∗(ζ1	∗(ζ1	PROPN
ejpam-2317	192	3	,	,	PUNCT
ejpam-2317	192	4	.	.	PUNCT
ejpam-2317	192	5	.	.	PUNCT
ejpam-2317	193	1	.	.	PUNCT
ejpam-2317	194	1	,	,	PUNCT
ejpam-2317	194	2	ζn	ζn	NOUN
ejpam-2317	194	3	)	)	PUNCT
ejpam-2317	194	4	dmn	dmn	NOUN
ejpam-2317	194	5	.	.	PUNCT
ejpam-2317	195	1	by	by	ADP
ejpam-2317	195	2	hölder	hölder	NOUN
ejpam-2317	195	3	and	and	CCONJ
ejpam-2317	195	4	fubini	fubini	ADJ
ejpam-2317	195	5	∫	∫	PROPN
ejpam-2317	195	6	tl	tl	PROPN
ejpam-2317	195	7	|	|	ADV
ejpam-2317	195	8	fz1,	fz1,	ADV
ejpam-2317	195	9	...	...	PUNCT
ejpam-2317	195	10	,zk	,zk	PUNCT
ejpam-2317	195	11	(	(	PUNCT
ejpam-2317	195	12	rξk+1	rξk+1	NOUN
ejpam-2317	195	13	,	,	PUNCT
ejpam-2317	195	14	.	.	PUNCT
ejpam-2317	195	15	.	.	PUNCT
ejpam-2317	195	16	.	.	PUNCT
ejpam-2317	196	1	,	,	PUNCT
ejpam-2317	196	2	rξn)|	rξn)|	PROPN
ejpam-2317	196	3	pdml	pdml	NOUN
ejpam-2317	196	4	=	=	SYM
ejpam-2317	196	5	∫	∫	PROPN
ejpam-2317	196	6	tl	tl	PROPN
ejpam-2317	196	7	�	�	PROPN
ejpam-2317	196	8	�	�	PROPN
ejpam-2317	196	9	�	�	PROPN
ejpam-2317	196	10	�	�	PROPN
ejpam-2317	196	11	�	�	PROPN
ejpam-2317	196	12	∫	∫	PROPN
ejpam-2317	196	13	tn	tn	PROPN
ejpam-2317	196	14	p1(ζ1	p1(ζ1	PROPN
ejpam-2317	196	15	)	)	PUNCT
ejpam-2317	196	16	.	.	PUNCT
ejpam-2317	196	17	.	.	PUNCT
ejpam-2317	196	18	.	.	PUNCT
ejpam-2317	197	1	pn(ζn	pn(ζn	NOUN
ejpam-2317	197	2	)	)	PUNCT
ejpam-2317	198	1	f	f	PROPN
ejpam-2317	198	2	∗(ζ1	∗(ζ1	PROPN
ejpam-2317	198	3	,	,	PUNCT
ejpam-2317	198	4	.	.	PUNCT
ejpam-2317	198	5	.	.	PUNCT
ejpam-2317	199	1	.	.	PUNCT
ejpam-2317	200	1	,	,	PUNCT
ejpam-2317	200	2	ζn	ζn	X
ejpam-2317	200	3	)	)	PUNCT
ejpam-2317	200	4	dmn	dmn	PROPN
ejpam-2317	200	5	�	�	PROPN
ejpam-2317	200	6	�	�	PROPN
ejpam-2317	200	7	�	�	PROPN
ejpam-2317	200	8	�	�	PROPN
ejpam-2317	200	9	�	�	PROPN
ejpam-2317	200	10	p	p	PROPN
ejpam-2317	200	11	dml	dml	PROPN
ejpam-2317	200	12	≤	≤	NUM
ejpam-2317	200	13	∫	∫	PROPN
ejpam-2317	200	14	tl	tl	PROPN
ejpam-2317	200	15	�	�	PROPN
ejpam-2317	200	16	∫	∫	PROPN
ejpam-2317	200	17	tn	tn	PROPN
ejpam-2317	200	18	p1(ζ1	p1(ζ1	PROPN
ejpam-2317	200	19	)	)	PUNCT
ejpam-2317	200	20	.	.	PUNCT
ejpam-2317	200	21	.	.	PUNCT
ejpam-2317	200	22	.	.	PUNCT
ejpam-2317	201	1	pn(ζn)|	pn(ζn)|	PROPN
ejpam-2317	201	2	f	f	PROPN
ejpam-2317	201	3	∗(ζ1	∗(ζ1	PROPN
ejpam-2317	201	4	,	,	PUNCT
ejpam-2317	201	5	.	.	PUNCT
ejpam-2317	201	6	.	.	PUNCT
ejpam-2317	201	7	.	.	PUNCT
ejpam-2317	202	1	,	,	PUNCT
ejpam-2317	202	2	ζn)|	ζn)|	PROPN
ejpam-2317	202	3	p	p	PROPN
ejpam-2317	202	4	dmn	dmn	PROPN
ejpam-2317	202	5	�	�	PROPN
ejpam-2317	202	6	dml	dml	PROPN
ejpam-2317	202	7	=	=	SYM
ejpam-2317	202	8	∫	∫	PROPN
ejpam-2317	202	9	tn	tn	PROPN
ejpam-2317	202	10	p1(ζ1	p1(ζ1	PROPN
ejpam-2317	202	11	)	)	PUNCT
ejpam-2317	202	12	.	.	PUNCT
ejpam-2317	202	13	.	.	PUNCT
ejpam-2317	202	14	.	.	PUNCT
ejpam-2317	203	1	pk(ζk)|	pk(ζk)|	NOUN
ejpam-2317	203	2	f	f	X
ejpam-2317	203	3	∗(ζ1	∗(ζ1	PROPN
ejpam-2317	203	4	,	,	PUNCT
ejpam-2317	203	5	.	.	PUNCT
ejpam-2317	203	6	.	.	PUNCT
ejpam-2317	203	7	.	.	PUNCT
ejpam-2317	204	1	,	,	PUNCT
ejpam-2317	204	2	ζn)|	ζn)|	PROPN
ejpam-2317	204	3	p	p	PROPN
ejpam-2317	204	4	×	×	PROPN
ejpam-2317	204	5	�	�	PROPN
ejpam-2317	204	6	∫	∫	PROPN
ejpam-2317	204	7	tl	tl	PROPN
ejpam-2317	204	8	pk+1(ζk+1	pk+1(ζk+1	PROPN
ejpam-2317	204	9	)	)	PUNCT
ejpam-2317	204	10	.	.	PUNCT
ejpam-2317	204	11	.	.	PUNCT
ejpam-2317	204	12	.	.	PUNCT
ejpam-2317	205	1	pn(ζn	pn(ζn	NOUN
ejpam-2317	205	2	)	)	PUNCT
ejpam-2317	205	3	dml	dml	PROPN
ejpam-2317	205	4	�	�	PROPN
ejpam-2317	205	5	dmn	dmn	PROPN
ejpam-2317	205	6	≤	≤	PROPN
ejpam-2317	205	7	2k	2k	NOUN
ejpam-2317	205	8	(	(	PUNCT
ejpam-2317	205	9	1−	1−	NUM
ejpam-2317	205	10	|z1|	|z1|	NOUN
ejpam-2317	205	11	)	)	PUNCT
ejpam-2317	205	12	.	.	PUNCT
ejpam-2317	205	13	.	.	PUNCT
ejpam-2317	205	14	.	.	PUNCT
ejpam-2317	206	1	(	(	PUNCT
ejpam-2317	206	2	1−	1−	NUM
ejpam-2317	206	3	|zk|	|zk|	NOUN
ejpam-2317	206	4	)	)	PUNCT
ejpam-2317	207	1	∫	∫	PROPN
ejpam-2317	207	2	tn	tn	PROPN
ejpam-2317	208	1	|	|	ADV
ejpam-2317	208	2	f	f	X
ejpam-2317	208	3	∗(ζ1	∗(ζ1	PROPN
ejpam-2317	208	4	,	,	PUNCT
ejpam-2317	208	5	.	.	PUNCT
ejpam-2317	208	6	.	.	PUNCT
ejpam-2317	208	7	.	.	PUNCT
ejpam-2317	209	1	,	,	PUNCT
ejpam-2317	209	2	ζn)|	ζn)|	PROPN
ejpam-2317	209	3	pdmn	pdmn	PROPN
ejpam-2317	209	4	.	.	PUNCT
ejpam-2317	210	1	the	the	DET
ejpam-2317	210	2	last	last	ADJ
ejpam-2317	210	3	quantity	quantity	NOUN
ejpam-2317	210	4	above	above	ADV
ejpam-2317	210	5	is	be	AUX
ejpam-2317	210	6	independent	independent	ADJ
ejpam-2317	210	7	of	of	ADP
ejpam-2317	210	8	r	r	NOUN
ejpam-2317	210	9	and	and	CCONJ
ejpam-2317	210	10	is	be	AUX
ejpam-2317	210	11	finite	finite	VERB
ejpam-2317	210	12	by	by	ADP
ejpam-2317	210	13	theorem	theorem	NOUN
ejpam-2317	210	14	5	5	NUM
ejpam-2317	210	15	.	.	PUNCT
ejpam-2317	211	1	thus	thus	ADV
ejpam-2317	211	2	the	the	DET
ejpam-2317	211	3	theorem	theorem	NOUN
ejpam-2317	211	4	is	be	AUX
ejpam-2317	211	5	proved	prove	VERB
ejpam-2317	211	6	.	.	PUNCT
ejpam-2317	212	1	the	the	DET
ejpam-2317	212	2	following	follow	VERB
ejpam-2317	212	3	corollary	corollary	NOUN
ejpam-2317	212	4	is	be	AUX
ejpam-2317	212	5	immediate	immediate	ADJ
ejpam-2317	212	6	.	.	PUNCT
ejpam-2317	213	1	k.	k.	PROPN
ejpam-2317	213	2	shrestha	shrestha	PROPN
ejpam-2317	213	3	/	/	SYM
ejpam-2317	213	4	eur	eur	PROPN
ejpam-2317	213	5	.	.	PUNCT
ejpam-2317	214	1	j.	j.	PROPN
ejpam-2317	214	2	pure	pure	PROPN
ejpam-2317	214	3	appl	appl	PROPN
ejpam-2317	214	4	.	.	PROPN
ejpam-2317	214	5	math	math	PROPN
ejpam-2317	214	6	,	,	PUNCT
ejpam-2317	214	7	9	9	NUM
ejpam-2317	214	8	(	(	PUNCT
ejpam-2317	214	9	2016	2016	NUM
ejpam-2317	214	10	)	)	PUNCT
ejpam-2317	214	11	,	,	PUNCT
ejpam-2317	214	12	292	292	NUM
ejpam-2317	214	13	-	-	SYM
ejpam-2317	214	14	304	304	NUM
ejpam-2317	214	15	298	298	NUM
ejpam-2317	214	16	corollary	corollary	ADJ
ejpam-2317	214	17	1	1	NUM
ejpam-2317	214	18	.	.	PUNCT
ejpam-2317	215	1	if	if	SCONJ
ejpam-2317	215	2	f	f	PROPN
ejpam-2317	215	3	∈	∈	PROPN
ejpam-2317	215	4	h	h	NOUN
ejpam-2317	215	5	p(dn	p(dn	PROPN
ejpam-2317	215	6	)	)	PUNCT
ejpam-2317	215	7	,	,	PUNCT
ejpam-2317	215	8	1	1	NUM
ejpam-2317	215	9	≤	≤	NOUN
ejpam-2317	215	10	p	p	X
ejpam-2317	215	11	<	<	X
ejpam-2317	215	12	∞	∞	PROPN
ejpam-2317	215	13	,	,	PUNCT
ejpam-2317	215	14	then	then	ADV
ejpam-2317	215	15	the	the	DET
ejpam-2317	215	16	non	non	ADJ
ejpam-2317	215	17	-	-	ADJ
ejpam-2317	215	18	tangential	tangential	ADJ
ejpam-2317	215	19	limit	limit	NOUN
ejpam-2317	215	20	f	f	X
ejpam-2317	215	21	∗z	∗z	PROPN
ejpam-2317	215	22	j1	j1	PROPN
ejpam-2317	215	23	,	,	PUNCT
ejpam-2317	215	24	...	...	PUNCT
ejpam-2317	215	25	,	,	PUNCT
ejpam-2317	215	26	z	z	PROPN
ejpam-2317	215	27	jk	jk	PROPN
ejpam-2317	215	28	of	of	ADP
ejpam-2317	215	29	the	the	DET
ejpam-2317	215	30	function	function	NOUN
ejpam-2317	215	31	fz	fz	VERB
ejpam-2317	215	32	j1	j1	PROPN
ejpam-2317	215	33	,	,	PUNCT
ejpam-2317	215	34	...	...	PUNCT
ejpam-2317	215	35	,	,	PUNCT
ejpam-2317	215	36	z	z	PROPN
ejpam-2317	215	37	jk	jk	PROPN
ejpam-2317	215	38	exists	exist	VERB
ejpam-2317	215	39	almost	almost	ADV
ejpam-2317	215	40	everywhere	everywhere	ADV
ejpam-2317	215	41	on	on	ADP
ejpam-2317	215	42	tl	tl	PROPN
ejpam-2317	215	43	and	and	CCONJ
ejpam-2317	215	44	belongs	belong	VERB
ejpam-2317	215	45	to	to	ADP
ejpam-2317	215	46	lp(tl	lp(tl	PROPN
ejpam-2317	215	47	)	)	PUNCT
ejpam-2317	215	48	.	.	PUNCT
ejpam-2317	216	1	the	the	DET
ejpam-2317	216	2	following	follow	VERB
ejpam-2317	216	3	theorems	theorem	NOUN
ejpam-2317	216	4	are	be	AUX
ejpam-2317	216	5	the	the	DET
ejpam-2317	216	6	direct	direct	ADJ
ejpam-2317	216	7	consequences	consequence	NOUN
ejpam-2317	216	8	of	of	ADP
ejpam-2317	216	9	theorems	theorem	NOUN
ejpam-2317	216	10	5	5	NUM
ejpam-2317	216	11	and	and	CCONJ
ejpam-2317	216	12	6	6	NUM
ejpam-2317	216	13	.	.	PUNCT
ejpam-2317	216	14	theorem	theorem	NOUN
ejpam-2317	216	15	9	9	NUM
ejpam-2317	216	16	.	.	PUNCT
ejpam-2317	217	1	if	if	SCONJ
ejpam-2317	217	2	1≤	1≤	NUM
ejpam-2317	217	3	p	p	X
ejpam-2317	217	4	<	<	X
ejpam-2317	217	5	∞	∞	PROPN
ejpam-2317	217	6	and	and	CCONJ
ejpam-2317	217	7	f	f	PROPN
ejpam-2317	217	8	∈	∈	PROPN
ejpam-2317	217	9	h	h	NOUN
ejpam-2317	217	10	p(dn	p(dn	PROPN
ejpam-2317	217	11	)	)	PUNCT
ejpam-2317	217	12	,	,	PUNCT
ejpam-2317	217	13	then	then	ADV
ejpam-2317	217	14	(	(	PUNCT
ejpam-2317	217	15	i	i	NOUN
ejpam-2317	217	16	)	)	PUNCT
ejpam-2317	217	17	lim	lim	PROPN
ejpam-2317	217	18	r→1	r→1	PUNCT
ejpam-2317	218	1	∫	∫	PROPN
ejpam-2317	219	1	tl	tl	PROPN
ejpam-2317	219	2	|	|	ADV
ejpam-2317	219	3	(	(	PUNCT
ejpam-2317	219	4	fz	fz	PROPN
ejpam-2317	219	5	j1	j1	PROPN
ejpam-2317	219	6	,	,	PUNCT
ejpam-2317	219	7	...	...	PUNCT
ejpam-2317	219	8	,	,	PUNCT
ejpam-2317	219	9	z	z	PROPN
ejpam-2317	219	10	jk	jk	PROPN
ejpam-2317	219	11	)	)	PUNCT
ejpam-2317	220	1	r	r	NOUN
ejpam-2317	220	2	|	|	ADV
ejpam-2317	220	3	p	p	NOUN
ejpam-2317	220	4	dml	dml	PROPN
ejpam-2317	220	5	=	=	SYM
ejpam-2317	221	1	∫	∫	PROPN
ejpam-2317	222	1	tl	tl	PROPN
ejpam-2317	223	1	|	|	ADV
ejpam-2317	223	2	f	f	PROPN
ejpam-2317	223	3	∗	∗	NOUN
ejpam-2317	223	4	z	z	PROPN
ejpam-2317	223	5	j1	j1	PROPN
ejpam-2317	223	6	,	,	PUNCT
ejpam-2317	223	7	...	...	PUNCT
ejpam-2317	223	8	,	,	PUNCT
ejpam-2317	223	9	z	z	PROPN
ejpam-2317	223	10	jk	jk	PROPN
ejpam-2317	223	11	|p	|p	PROPN
ejpam-2317	223	12	dml	dml	PROPN
ejpam-2317	223	13	(	(	PUNCT
ejpam-2317	223	14	ii	ii	PROPN
ejpam-2317	223	15	)	)	PUNCT
ejpam-2317	223	16	lim	lim	PROPN
ejpam-2317	223	17	r→1	r→1	PUNCT
ejpam-2317	224	1	∫	∫	PROPN
ejpam-2317	225	1	tl	tl	PROPN
ejpam-2317	225	2	|	|	ADV
ejpam-2317	225	3	(	(	PUNCT
ejpam-2317	225	4	fz	fz	PROPN
ejpam-2317	225	5	j1	j1	PROPN
ejpam-2317	225	6	,	,	PUNCT
ejpam-2317	225	7	...	...	PUNCT
ejpam-2317	225	8	,	,	PUNCT
ejpam-2317	225	9	z	z	PROPN
ejpam-2317	225	10	jk	jk	PROPN
ejpam-2317	225	11	)	)	PUNCT
ejpam-2317	226	1	r	r	NOUN
ejpam-2317	226	2	−	−	NOUN
ejpam-2317	226	3	f	f	PROPN
ejpam-2317	226	4	∗z	∗z	PROPN
ejpam-2317	226	5	j1	j1	PROPN
ejpam-2317	226	6	,	,	PUNCT
ejpam-2317	226	7	...	...	PUNCT
ejpam-2317	226	8	,	,	PUNCT
ejpam-2317	226	9	z	z	PROPN
ejpam-2317	226	10	jk	jk	PROPN
ejpam-2317	226	11	|p	|p	PUNCT
ejpam-2317	226	12	dml	dml	PROPN
ejpam-2317	226	13	=	=	SYM
ejpam-2317	226	14	0	0	NUM
ejpam-2317	226	15	where	where	SCONJ
ejpam-2317	226	16	(	(	PUNCT
ejpam-2317	226	17	fz	fz	ADP
ejpam-2317	226	18	j1	j1	PROPN
ejpam-2317	226	19	,	,	PUNCT
ejpam-2317	226	20	...	...	PUNCT
ejpam-2317	226	21	,	,	PUNCT
ejpam-2317	226	22	z	z	PROPN
ejpam-2317	226	23	jk	jk	PROPN
ejpam-2317	226	24	)	)	PUNCT
ejpam-2317	226	25	r(ζi1	r(ζi1	INTJ
ejpam-2317	226	26	,	,	PUNCT
ejpam-2317	226	27	.	.	PUNCT
ejpam-2317	226	28	.	.	PUNCT
ejpam-2317	226	29	.	.	PUNCT
ejpam-2317	227	1	,	,	PUNCT
ejpam-2317	227	2	ζil	ζil	NOUN
ejpam-2317	227	3	)	)	PUNCT
ejpam-2317	228	1	=	=	PUNCT
ejpam-2317	228	2	fz	fz	VERB
ejpam-2317	228	3	j1	j1	PROPN
ejpam-2317	228	4	,	,	PUNCT
ejpam-2317	228	5	...	...	PUNCT
ejpam-2317	228	6	,	,	PUNCT
ejpam-2317	228	7	z	z	PROPN
ejpam-2317	228	8	jk	jk	PROPN
ejpam-2317	228	9	(	(	PUNCT
ejpam-2317	228	10	rζi1	rζi1	NOUN
ejpam-2317	228	11	,	,	PUNCT
ejpam-2317	228	12	.	.	PUNCT
ejpam-2317	228	13	.	.	PUNCT
ejpam-2317	228	14	.	.	PUNCT
ejpam-2317	229	1	,	,	PUNCT
ejpam-2317	229	2	rζil	rζil	PROPN
ejpam-2317	229	3	)	)	PUNCT
ejpam-2317	229	4	.	.	PUNCT
ejpam-2317	230	1	theorem	theorem	VERB
ejpam-2317	230	2	10	10	NUM
ejpam-2317	230	3	.	.	PUNCT
ejpam-2317	231	1	if	if	SCONJ
ejpam-2317	231	2	f	f	PROPN
ejpam-2317	231	3	∈	∈	PROPN
ejpam-2317	231	4	h1(dn	h1(dn	PROPN
ejpam-2317	231	5	)	)	PUNCT
ejpam-2317	231	6	,	,	PUNCT
ejpam-2317	231	7	then	then	ADV
ejpam-2317	231	8	fz	fz	VERB
ejpam-2317	231	9	j1	j1	PROPN
ejpam-2317	231	10	,	,	PUNCT
ejpam-2317	231	11	...	...	PUNCT
ejpam-2317	231	12	,	,	PUNCT
ejpam-2317	231	13	z	z	PROPN
ejpam-2317	231	14	jk	jk	PROPN
ejpam-2317	231	15	(	(	PUNCT
ejpam-2317	231	16	zi1	zi1	PROPN
ejpam-2317	231	17	,	,	PUNCT
ejpam-2317	231	18	.	.	PUNCT
ejpam-2317	231	19	.	.	PUNCT
ejpam-2317	232	1	.	.	PUNCT
ejpam-2317	233	1	,	,	PUNCT
ejpam-2317	233	2	zil	zil	PROPN
ejpam-2317	233	3	)	)	PUNCT
ejpam-2317	234	1	=	=	SYM
ejpam-2317	234	2	∫	∫	PROPN
ejpam-2317	234	3	tl	tl	PROPN
ejpam-2317	234	4	p(zi1	p(zi1	PROPN
ejpam-2317	234	5	,	,	PUNCT
ejpam-2317	234	6	ζi1	ζi1	NOUN
ejpam-2317	234	7	)	)	PUNCT
ejpam-2317	234	8	.	.	PUNCT
ejpam-2317	234	9	.	.	PUNCT
ejpam-2317	234	10	.	.	PUNCT
ejpam-2317	235	1	p(zil	p(zil	PROPN
ejpam-2317	235	2	,	,	PUNCT
ejpam-2317	235	3	ζil	ζil	PROPN
ejpam-2317	235	4	)	)	PUNCT
ejpam-2317	235	5	f	f	PROPN
ejpam-2317	236	1	∗z	∗z	PROPN
ejpam-2317	236	2	j1	j1	PROPN
ejpam-2317	236	3	,	,	PUNCT
ejpam-2317	236	4	...	...	PUNCT
ejpam-2317	236	5	,	,	PUNCT
ejpam-2317	236	6	z	z	PROPN
ejpam-2317	236	7	jk	jk	PROPN
ejpam-2317	236	8	(	(	PUNCT
ejpam-2317	236	9	ζi1	ζi1	NOUN
ejpam-2317	236	10	,	,	PUNCT
ejpam-2317	236	11	.	.	PUNCT
ejpam-2317	236	12	.	.	PUNCT
ejpam-2317	236	13	.	.	PUNCT
ejpam-2317	237	1	,	,	PUNCT
ejpam-2317	237	2	ζil	ζil	PROPN
ejpam-2317	237	3	)	)	PUNCT
ejpam-2317	237	4	dml	dml	PROPN
ejpam-2317	237	5	.	.	PUNCT
ejpam-2317	238	1	theorem	theorem	VERB
ejpam-2317	238	2	11	11	NUM
ejpam-2317	238	3	.	.	PUNCT
ejpam-2317	239	1	let	let	VERB
ejpam-2317	239	2	f	f	PRON
ejpam-2317	239	3	be	be	AUX
ejpam-2317	239	4	a	a	DET
ejpam-2317	239	5	holomorphic	holomorphic	ADJ
ejpam-2317	239	6	function	function	NOUN
ejpam-2317	239	7	in	in	ADP
ejpam-2317	239	8	dn	dn	PROPN
ejpam-2317	239	9	.	.	PUNCT
ejpam-2317	240	1	if	if	SCONJ
ejpam-2317	240	2	1≤	1≤	NUM
ejpam-2317	240	3	p	p	X
ejpam-2317	240	4	<	<	X
ejpam-2317	240	5	∞	∞	NOUN
ejpam-2317	240	6	and	and	CCONJ
ejpam-2317	240	7	sup	sup	NOUN
ejpam-2317	240	8	(	(	PUNCT
ejpam-2317	240	9	z	z	NOUN
ejpam-2317	240	10	j1	j1	PROPN
ejpam-2317	240	11	,	,	PUNCT
ejpam-2317	240	12	...	...	PUNCT
ejpam-2317	240	13	,	,	PUNCT
ejpam-2317	240	14	z	z	PROPN
ejpam-2317	240	15	jk	jk	PROPN
ejpam-2317	240	16	)	)	PUNCT
ejpam-2317	241	1	|z	|z	PROPN
ejpam-2317	241	2	j1	j1	PROPN
ejpam-2317	241	3	|=	|=	NUM
ejpam-2317	241	4	...	...	PUNCT
ejpam-2317	241	5	=|z	=|z	X
ejpam-2317	241	6	jk	jk	PROPN
ejpam-2317	242	1	|	|	PROPN
ejpam-2317	242	2	‖	‖	PROPN
ejpam-2317	242	3	fz	fz	PROPN
ejpam-2317	242	4	j1	j1	PROPN
ejpam-2317	242	5	,	,	PUNCT
ejpam-2317	242	6	...	...	PUNCT
ejpam-2317	242	7	,	,	PUNCT
ejpam-2317	242	8	z	z	PROPN
ejpam-2317	242	9	jk	jk	PROPN
ejpam-2317	242	10	‖hp(dn−k	‖hp(dn−k	PROPN
ejpam-2317	242	11	)	)	PUNCT
ejpam-2317	242	12	=	=	PUNCT
ejpam-2317	243	1	m	m	VERB
ejpam-2317	243	2	<	<	X
ejpam-2317	243	3	∞	∞	PROPN
ejpam-2317	243	4	,	,	PUNCT
ejpam-2317	243	5	then	then	ADV
ejpam-2317	243	6	f	f	PROPN
ejpam-2317	243	7	∈	∈	PROPN
ejpam-2317	243	8	h	h	NOUN
ejpam-2317	243	9	p(dn	p(dn	PROPN
ejpam-2317	243	10	)	)	PUNCT
ejpam-2317	243	11	.	.	PUNCT
ejpam-2317	244	1	proof	proof	NOUN
ejpam-2317	244	2	.	.	PUNCT
ejpam-2317	245	1	for	for	ADP
ejpam-2317	245	2	simplicity	simplicity	NOUN
ejpam-2317	245	3	we	we	PRON
ejpam-2317	245	4	take	take	VERB
ejpam-2317	245	5	{	{	PUNCT
ejpam-2317	245	6	j1	j1	PROPN
ejpam-2317	245	7	,	,	PUNCT
ejpam-2317	245	8	.	.	PUNCT
ejpam-2317	245	9	.	.	PUNCT
ejpam-2317	245	10	.	.	PUNCT
ejpam-2317	246	1	,	,	PUNCT
ejpam-2317	246	2	jk	jk	NOUN
ejpam-2317	246	3	}	}	PUNCT
ejpam-2317	246	4	=	=	PUNCT
ejpam-2317	246	5	{	{	PUNCT
ejpam-2317	246	6	1	1	NUM
ejpam-2317	246	7	,	,	PUNCT
ejpam-2317	246	8	.	.	PUNCT
ejpam-2317	246	9	.	.	PUNCT
ejpam-2317	246	10	.	.	PUNCT
ejpam-2317	247	1	,	,	PUNCT
ejpam-2317	247	2	k	k	X
ejpam-2317	247	3	}	}	PUNCT
ejpam-2317	247	4	.	.	PUNCT
ejpam-2317	248	1	and	and	CCONJ
ejpam-2317	248	2	,	,	PUNCT
ejpam-2317	248	3	of	of	ADP
ejpam-2317	248	4	course	course	NOUN
ejpam-2317	248	5	,	,	PUNCT
ejpam-2317	248	6	this	this	DET
ejpam-2317	248	7	theorem	theorem	NOUN
ejpam-2317	248	8	makes	make	VERB
ejpam-2317	248	9	sense	sense	NOUN
ejpam-2317	248	10	only	only	ADV
ejpam-2317	248	11	when	when	SCONJ
ejpam-2317	248	12	k	k	PROPN
ejpam-2317	248	13	>	>	X
ejpam-2317	248	14	0	0	X
ejpam-2317	248	15	.	.	PUNCT
ejpam-2317	249	1	now	now	ADV
ejpam-2317	249	2	for	for	ADP
ejpam-2317	249	3	0≤	0≤	NUM
ejpam-2317	249	4	r	r	NOUN
ejpam-2317	249	5	<	<	X
ejpam-2317	249	6	1	1	NUM
ejpam-2317	249	7	,	,	PUNCT
ejpam-2317	249	8	∫	∫	PROPN
ejpam-2317	249	9	tn	tn	PROPN
ejpam-2317	250	1	|	|	ADV
ejpam-2317	250	2	f	f	PROPN
ejpam-2317	250	3	(	(	PUNCT
ejpam-2317	250	4	rζ1	rζ1	PROPN
ejpam-2317	250	5	,	,	PUNCT
ejpam-2317	250	6	.	.	PUNCT
ejpam-2317	250	7	.	.	PUNCT
ejpam-2317	250	8	.	.	PUNCT
ejpam-2317	251	1	,	,	PUNCT
ejpam-2317	251	2	rζn)|	rζn)|	VERB
ejpam-2317	251	3	p	p	PROPN
ejpam-2317	251	4	dmn	dmn	PROPN
ejpam-2317	251	5	=	=	PUNCT
ejpam-2317	251	6	∫	∫	PROPN
ejpam-2317	251	7	tk	tk	PROPN
ejpam-2317	251	8	�	�	PROPN
ejpam-2317	251	9	∫	∫	PROPN
ejpam-2317	251	10	tn−k	tn−k	PROPN
ejpam-2317	252	1	|	|	PROPN
ejpam-2317	252	2	f	f	PROPN
ejpam-2317	252	3	(	(	PUNCT
ejpam-2317	252	4	rζ1	rζ1	PROPN
ejpam-2317	252	5	,	,	PUNCT
ejpam-2317	252	6	.	.	PUNCT
ejpam-2317	252	7	.	.	PUNCT
ejpam-2317	252	8	.	.	PUNCT
ejpam-2317	253	1	,	,	PUNCT
ejpam-2317	253	2	rζn)|	rζn)|	VERB
ejpam-2317	253	3	p	p	NOUN
ejpam-2317	253	4	dmn−k	dmn−k	PROPN
ejpam-2317	253	5	�	�	PROPN
ejpam-2317	253	6	dmk	dmk	PROPN
ejpam-2317	253	7	≤	≤	PROPN
ejpam-2317	253	8	∫	∫	PROPN
ejpam-2317	253	9	tk	tk	PROPN
ejpam-2317	253	10	�	�	PROPN
ejpam-2317	253	11	sup	sup	PROPN
ejpam-2317	253	12	0≤t<1	0≤t<1	PROPN
ejpam-2317	253	13	∫	∫	PROPN
ejpam-2317	253	14	tn−k	tn−k	PROPN
ejpam-2317	253	15	|	|	NOUN
ejpam-2317	253	16	f	f	PROPN
ejpam-2317	253	17	(	(	PUNCT
ejpam-2317	253	18	rζ1	rζ1	PROPN
ejpam-2317	253	19	,	,	PUNCT
ejpam-2317	253	20	.	.	PUNCT
ejpam-2317	253	21	.	.	PUNCT
ejpam-2317	254	1	.	.	PUNCT
ejpam-2317	255	1	,	,	PUNCT
ejpam-2317	255	2	rζk	rζk	NOUN
ejpam-2317	255	3	,	,	PUNCT
ejpam-2317	255	4	tζk+1	tζk+1	PROPN
ejpam-2317	255	5	,	,	PUNCT
ejpam-2317	255	6	.	.	PUNCT
ejpam-2317	255	7	.	.	PUNCT
ejpam-2317	256	1	.	.	PUNCT
ejpam-2317	257	1	,	,	PUNCT
ejpam-2317	257	2	tζn)|	tζn)|	PROPN
ejpam-2317	257	3	p	p	PROPN
ejpam-2317	257	4	dmn−k	dmn−k	PROPN
ejpam-2317	257	5	�	�	PROPN
ejpam-2317	257	6	dmk	dmk	PROPN
ejpam-2317	257	7	=	=	PROPN
ejpam-2317	258	1	∫	∫	PROPN
ejpam-2317	258	2	tk	tk	PROPN
ejpam-2317	258	3	‖	‖	PROPN
ejpam-2317	258	4	frζ1,	frζ1,	PROPN
ejpam-2317	258	5	...	...	PUNCT
ejpam-2317	258	6	,rζk	,rζk	PUNCT
ejpam-2317	259	1	‖p	‖p	PROPN
ejpam-2317	259	2	hp(dn−k	hp(dn−k	PROPN
ejpam-2317	259	3	)	)	PUNCT
ejpam-2317	259	4	dmk	dmk	NOUN
ejpam-2317	259	5	≤m	≤m	PROPN
ejpam-2317	259	6	p.	p.	NOUN
ejpam-2317	259	7	thus	thus	ADV
ejpam-2317	259	8	f	f	PROPN
ejpam-2317	259	9	∈	∈	PROPN
ejpam-2317	259	10	h	h	NOUN
ejpam-2317	259	11	p(dn	p(dn	PROPN
ejpam-2317	259	12	)	)	PUNCT
ejpam-2317	259	13	.	.	PUNCT
ejpam-2317	260	1	5	5	X
ejpam-2317	260	2	.	.	X
ejpam-2317	260	3	poletsky	poletsky	ADJ
ejpam-2317	260	4	–	–	PUNCT
ejpam-2317	260	5	stessin	stessin	VERB
ejpam-2317	260	6	hardy	hardy	ADJ
ejpam-2317	260	7	spaces	space	NOUN
ejpam-2317	260	8	on	on	ADP
ejpam-2317	260	9	the	the	DET
ejpam-2317	260	10	bidisk	bidisk	NOUN
ejpam-2317	260	11	let	let	VERB
ejpam-2317	260	12	u	u	PRON
ejpam-2317	260	13	be	be	AUX
ejpam-2317	260	14	a	a	DET
ejpam-2317	260	15	negative	negative	ADJ
ejpam-2317	260	16	continuous	continuous	ADJ
ejpam-2317	260	17	plurisubharmonic	plurisubharmonic	ADJ
ejpam-2317	260	18	function	function	NOUN
ejpam-2317	260	19	on	on	ADP
ejpam-2317	260	20	the	the	DET
ejpam-2317	260	21	bidisk	bidisk	NOUN
ejpam-2317	261	1	d	d	PROPN
ejpam-2317	261	2	2	2	NUM
ejpam-2317	261	3	=	=	SYM
ejpam-2317	261	4	{	{	PUNCT
ejpam-2317	261	5	(	(	PUNCT
ejpam-2317	261	6	z1	z1	PROPN
ejpam-2317	261	7	,	,	PUNCT
ejpam-2317	261	8	z2	z2	PROPN
ejpam-2317	261	9	)	)	PUNCT
ejpam-2317	261	10	∈	∈	PROPN
ejpam-2317	261	11	c	c	NOUN
ejpam-2317	261	12	2	2	NUM
ejpam-2317	261	13	:	:	PUNCT
ejpam-2317	261	14	|z1|	|z1|	NOUN
ejpam-2317	261	15	<	<	X
ejpam-2317	261	16	1	1	NUM
ejpam-2317	261	17	,	,	PUNCT
ejpam-2317	261	18	|z2|	|z2|	X
ejpam-2317	261	19	<	<	X
ejpam-2317	261	20	1	1	NUM
ejpam-2317	261	21	}	}	PUNCT
ejpam-2317	261	22	k.	k.	PROPN
ejpam-2317	261	23	shrestha	shrestha	PROPN
ejpam-2317	261	24	/	/	SYM
ejpam-2317	261	25	eur	eur	PROPN
ejpam-2317	261	26	.	.	PUNCT
ejpam-2317	262	1	j.	j.	PROPN
ejpam-2317	262	2	pure	pure	PROPN
ejpam-2317	262	3	appl	appl	PROPN
ejpam-2317	262	4	.	.	PROPN
ejpam-2317	262	5	math	math	PROPN
ejpam-2317	262	6	,	,	PUNCT
ejpam-2317	262	7	9	9	NUM
ejpam-2317	262	8	(	(	PUNCT
ejpam-2317	262	9	2016	2016	NUM
ejpam-2317	262	10	)	)	PUNCT
ejpam-2317	262	11	,	,	PUNCT
ejpam-2317	262	12	292	292	NUM
ejpam-2317	262	13	-	-	SYM
ejpam-2317	262	14	304	304	NUM
ejpam-2317	262	15	299	299	NUM
ejpam-2317	262	16	such	such	ADJ
ejpam-2317	262	17	that	that	DET
ejpam-2317	262	18	u(z1	u(z1	ADJ
ejpam-2317	262	19	,	,	PUNCT
ejpam-2317	262	20	z2	z2	PROPN
ejpam-2317	262	21	)	)	PUNCT
ejpam-2317	262	22	→	→	SYM
ejpam-2317	262	23	0	0	NUM
ejpam-2317	263	1	as	as	ADP
ejpam-2317	263	2	(	(	PUNCT
ejpam-2317	263	3	z1	z1	ADJ
ejpam-2317	263	4	,	,	PUNCT
ejpam-2317	263	5	z2	z2	PROPN
ejpam-2317	263	6	)	)	PUNCT
ejpam-2317	263	7	→	→	SYM
ejpam-2317	263	8	(	(	PUNCT
ejpam-2317	263	9	ζ1,ζ2	ζ1,ζ2	NUM
ejpam-2317	263	10	)	)	PUNCT
ejpam-2317	263	11	∈	∈	PROPN
ejpam-2317	263	12	∂d	∂d	PROPN
ejpam-2317	263	13	2	2	X
ejpam-2317	263	14	.	.	PUNCT
ejpam-2317	263	15	following	follow	VERB
ejpam-2317	263	16	demailly	demailly	ADV
ejpam-2317	263	17	[	[	X
ejpam-2317	263	18	2	2	NUM
ejpam-2317	263	19	]	]	PUNCT
ejpam-2317	263	20	,	,	PUNCT
ejpam-2317	263	21	for	for	ADP
ejpam-2317	263	22	r	r	NOUN
ejpam-2317	263	23	<	<	X
ejpam-2317	263	24	0	0	NUM
ejpam-2317	263	25	we	we	PRON
ejpam-2317	263	26	define	define	VERB
ejpam-2317	263	27	su(r	su(r	NOUN
ejpam-2317	263	28	)	)	PUNCT
ejpam-2317	263	29	=	=	SYM
ejpam-2317	263	30	�	�	PROPN
ejpam-2317	263	31	(	(	PUNCT
ejpam-2317	263	32	z1	z1	PROPN
ejpam-2317	263	33	,	,	PUNCT
ejpam-2317	263	34	z2	z2	PROPN
ejpam-2317	263	35	)	)	PUNCT
ejpam-2317	263	36	∈	∈	PROPN
ejpam-2317	263	37	d	d	NOUN
ejpam-2317	263	38	2	2	NUM
ejpam-2317	263	39	:	:	PUNCT
ejpam-2317	263	40	u(z1	u(z1	ADJ
ejpam-2317	263	41	,	,	PUNCT
ejpam-2317	263	42	z2	z2	PROPN
ejpam-2317	263	43	)	)	PUNCT
ejpam-2317	263	44	=	=	SYM
ejpam-2317	263	45	r	r	NOUN
ejpam-2317	263	46	bu(r	bu(r	NOUN
ejpam-2317	263	47	)	)	PUNCT
ejpam-2317	263	48	=	=	PRON
ejpam-2317	263	49	{	{	PUNCT
ejpam-2317	263	50	(	(	PUNCT
ejpam-2317	263	51	z1	z1	PROPN
ejpam-2317	263	52	,	,	PUNCT
ejpam-2317	263	53	z2	z2	PROPN
ejpam-2317	263	54	)	)	PUNCT
ejpam-2317	263	55	∈	∈	PROPN
ejpam-2317	263	56	d	d	NOUN
ejpam-2317	263	57	2	2	NUM
ejpam-2317	263	58	:	:	PUNCT
ejpam-2317	263	59	u(z1	u(z1	ADJ
ejpam-2317	263	60	,	,	PUNCT
ejpam-2317	263	61	z2	z2	PROPN
ejpam-2317	263	62	)	)	PUNCT
ejpam-2317	263	63	<	<	X
ejpam-2317	263	64	r	r	X
ejpam-2317	263	65	}	}	PUNCT
ejpam-2317	263	66	.	.	PUNCT
ejpam-2317	264	1	for	for	ADP
ejpam-2317	264	2	convenience	convenience	NOUN
ejpam-2317	264	3	we	we	PRON
ejpam-2317	264	4	will	will	AUX
ejpam-2317	264	5	write	write	VERB
ejpam-2317	264	6	z	z	PROPN
ejpam-2317	264	7	=	=	SYM
ejpam-2317	264	8	(	(	PUNCT
ejpam-2317	264	9	z1	z1	PROPN
ejpam-2317	264	10	,	,	PUNCT
ejpam-2317	264	11	z2	z2	PROPN
ejpam-2317	264	12	)	)	PUNCT
ejpam-2317	264	13	.	.	PUNCT
ejpam-2317	265	1	associated	associate	VERB
ejpam-2317	265	2	with	with	ADP
ejpam-2317	265	3	this	this	DET
ejpam-2317	265	4	u	u	NOUN
ejpam-2317	265	5	we	we	PRON
ejpam-2317	265	6	define	define	VERB
ejpam-2317	265	7	the	the	DET
ejpam-2317	265	8	positive	positive	ADJ
ejpam-2317	265	9	measure	measure	NOUN
ejpam-2317	265	10	µu	µu	ADP
ejpam-2317	265	11	,	,	PUNCT
ejpam-2317	265	12	r	r	NOUN
ejpam-2317	265	13	called	call	VERB
ejpam-2317	265	14	monge	monge	NOUN
ejpam-2317	265	15	-	-	PUNCT
ejpam-2317	265	16	ampère	ampère	NOUN
ejpam-2317	265	17	measures	measure	NOUN
ejpam-2317	265	18	by	by	ADP
ejpam-2317	265	19	µu	µu	ADP
ejpam-2317	265	20	,	,	PUNCT
ejpam-2317	265	21	r	r	NOUN
ejpam-2317	265	22	=	=	PUNCT
ejpam-2317	265	23	(	(	PUNCT
ejpam-2317	265	24	dd	dd	NOUN
ejpam-2317	265	25	cur	cur	NOUN
ejpam-2317	265	26	)	)	PUNCT
ejpam-2317	265	27	2	2	NUM
ejpam-2317	265	28	−χd2\bu(r	−χd2\bu(r	NOUN
ejpam-2317	265	29	)	)	PUNCT
ejpam-2317	265	30	(	(	PUNCT
ejpam-2317	265	31	dd	dd	INTJ
ejpam-2317	265	32	cu)2	cu)2	NOUN
ejpam-2317	265	33	where	where	SCONJ
ejpam-2317	265	34	ur	ur	INTJ
ejpam-2317	265	35	=	=	NOUN
ejpam-2317	265	36	max{u	max{u	PROPN
ejpam-2317	265	37	,	,	PUNCT
ejpam-2317	265	38	r	r	NOUN
ejpam-2317	265	39	}	}	PUNCT
ejpam-2317	265	40	.	.	PUNCT
ejpam-2317	266	1	these	these	DET
ejpam-2317	266	2	measures	measure	NOUN
ejpam-2317	266	3	are	be	AUX
ejpam-2317	266	4	supported	support	VERB
ejpam-2317	266	5	by	by	ADP
ejpam-2317	266	6	the	the	DET
ejpam-2317	266	7	level	level	NOUN
ejpam-2317	266	8	sets	set	NOUN
ejpam-2317	266	9	su(r	su(r	NUM
ejpam-2317	266	10	)	)	PUNCT
ejpam-2317	266	11	.	.	PUNCT
ejpam-2317	267	1	demailly	demailly	ADV
ejpam-2317	267	2	has	have	AUX
ejpam-2317	267	3	proved	prove	VERB
ejpam-2317	267	4	the	the	DET
ejpam-2317	267	5	following	follow	VERB
ejpam-2317	267	6	[	[	X
ejpam-2317	267	7	2	2	NUM
ejpam-2317	267	8	,	,	PUNCT
ejpam-2317	267	9	theorem	theorem	VERB
ejpam-2317	267	10	1.7	1.7	NUM
ejpam-2317	267	11	]	]	PUNCT
ejpam-2317	267	12	.	.	PUNCT
ejpam-2317	268	1	theorem	theorem	NOUN
ejpam-2317	268	2	12	12	NUM
ejpam-2317	268	3	(	(	PUNCT
ejpam-2317	268	4	lelong	lelong	PROPN
ejpam-2317	268	5	–	–	PUNCT
ejpam-2317	268	6	jensen	jensen	PROPN
ejpam-2317	268	7	formula	formula	NOUN
ejpam-2317	268	8	)	)	PUNCT
ejpam-2317	268	9	.	.	PUNCT
ejpam-2317	269	1	for	for	ADP
ejpam-2317	269	2	all	all	DET
ejpam-2317	269	3	r	r	NOUN
ejpam-2317	269	4	<	<	X
ejpam-2317	269	5	0	0	NUM
ejpam-2317	270	1	every	every	DET
ejpam-2317	270	2	plurisubharmonic	plurisubharmonic	ADJ
ejpam-2317	270	3	function	function	NOUN
ejpam-2317	270	4	ϕ	ϕ	NOUN
ejpam-2317	270	5	on	on	ADP
ejpam-2317	270	6	d2	d2	PROPN
ejpam-2317	270	7	is	be	AUX
ejpam-2317	270	8	µu	µu	ADJ
ejpam-2317	270	9	,	,	PUNCT
ejpam-2317	270	10	r	r	NOUN
ejpam-2317	270	11	-integrable	-integrable	ADJ
ejpam-2317	270	12	and	and	CCONJ
ejpam-2317	270	13	µu	µu	ADJ
ejpam-2317	270	14	,	,	PUNCT
ejpam-2317	270	15	r(ϕ	r(ϕ	PROPN
ejpam-2317	270	16	)	)	PUNCT
ejpam-2317	271	1	=	=	SYM
ejpam-2317	271	2	∫	∫	PROPN
ejpam-2317	271	3	bu(r	bu(r	PROPN
ejpam-2317	271	4	)	)	PUNCT
ejpam-2317	272	1	ϕ(dd	ϕ(dd	PUNCT
ejpam-2317	272	2	cu)2	cu)2	VERB
ejpam-2317	272	3	+	+	CCONJ
ejpam-2317	272	4	∫	∫	PROPN
ejpam-2317	272	5	bu(r	bu(r	NUM
ejpam-2317	272	6	)	)	PUNCT
ejpam-2317	272	7	(	(	PUNCT
ejpam-2317	272	8	r	r	NOUN
ejpam-2317	272	9	−	−	PROPN
ejpam-2317	272	10	u)(dd	u)(dd	ADV
ejpam-2317	272	11	cϕ)∧	cϕ)∧	NOUN
ejpam-2317	272	12	(	(	PUNCT
ejpam-2317	272	13	dd	dd	PROPN
ejpam-2317	272	14	cu	cu	PROPN
ejpam-2317	272	15	)	)	PUNCT
ejpam-2317	272	16	.	.	PUNCT
ejpam-2317	273	1	denote	denote	VERB
ejpam-2317	273	2	by	by	ADP
ejpam-2317	273	3	e	e	PROPN
ejpam-2317	273	4	(	(	PUNCT
ejpam-2317	273	5	d2	d2	PROPN
ejpam-2317	273	6	)	)	PUNCT
ejpam-2317	273	7	the	the	DET
ejpam-2317	273	8	set	set	NOUN
ejpam-2317	273	9	of	of	ADP
ejpam-2317	273	10	all	all	DET
ejpam-2317	273	11	continuous	continuous	ADJ
ejpam-2317	273	12	negative	negative	ADJ
ejpam-2317	273	13	plurisubharmonic	plurisubharmonic	ADJ
ejpam-2317	273	14	functions	function	NOUN
ejpam-2317	273	15	u	u	NOUN
ejpam-2317	273	16	on	on	ADP
ejpam-2317	273	17	d2	d2	PROPN
ejpam-2317	273	18	and	and	CCONJ
ejpam-2317	273	19	equal	equal	ADJ
ejpam-2317	273	20	to	to	ADP
ejpam-2317	273	21	zero	zero	NUM
ejpam-2317	273	22	on	on	ADP
ejpam-2317	273	23	∂d2	∂d2	X
ejpam-2317	273	24	whose	whose	DET
ejpam-2317	273	25	monge	monge	NOUN
ejpam-2317	273	26	–	–	PUNCT
ejpam-2317	273	27	ampère	ampère	NOUN
ejpam-2317	273	28	mass	mass	NOUN
ejpam-2317	273	29	is	be	AUX
ejpam-2317	273	30	finite	finite	ADJ
ejpam-2317	273	31	,	,	PUNCT
ejpam-2317	273	32	i.e.	i.e.	X
ejpam-2317	273	33	∫	∫	PROPN
ejpam-2317	273	34	d2	d2	PROPN
ejpam-2317	273	35	(	(	PUNCT
ejpam-2317	273	36	dd	dd	INTJ
ejpam-2317	273	37	cu)2	cu)2	PROPN
ejpam-2317	273	38	<	<	X
ejpam-2317	273	39	∞	∞	NUM
ejpam-2317	273	40	and	and	CCONJ
ejpam-2317	273	41	denote	denote	VERB
ejpam-2317	273	42	by	by	ADP
ejpam-2317	273	43	e1(d	e1(d	NUM
ejpam-2317	273	44	2	2	NUM
ejpam-2317	273	45	)	)	PUNCT
ejpam-2317	273	46	the	the	DET
ejpam-2317	273	47	set	set	NOUN
ejpam-2317	273	48	of	of	ADP
ejpam-2317	273	49	those	those	DET
ejpam-2317	273	50	u	u	NOUN
ejpam-2317	273	51	∈	∈	PROPN
ejpam-2317	273	52	e	e	X
ejpam-2317	273	53	(	(	PUNCT
ejpam-2317	273	54	d2	d2	PROPN
ejpam-2317	273	55	)	)	PUNCT
ejpam-2317	273	56	for	for	ADP
ejpam-2317	273	57	which	which	PRON
ejpam-2317	273	58	∫	∫	PROPN
ejpam-2317	273	59	d2	d2	PROPN
ejpam-2317	273	60	dd	dd	PROPN
ejpam-2317	273	61	cu=	cu=	PROPN
ejpam-2317	273	62	1	1	NUM
ejpam-2317	273	63	.	.	PUNCT
ejpam-2317	274	1	following	follow	VERB
ejpam-2317	274	2	[	[	X
ejpam-2317	274	3	3	3	X
ejpam-2317	274	4	]	]	PUNCT
ejpam-2317	274	5	we	we	PRON
ejpam-2317	274	6	define	define	VERB
ejpam-2317	274	7	,	,	PUNCT
ejpam-2317	274	8	what	what	PRON
ejpam-2317	274	9	we	we	PRON
ejpam-2317	274	10	call	call	VERB
ejpam-2317	274	11	,	,	PUNCT
ejpam-2317	274	12	the	the	DET
ejpam-2317	274	13	poletsky	poletsky	NOUN
ejpam-2317	274	14	–	–	PUNCT
ejpam-2317	274	15	stessin	stessin	VERB
ejpam-2317	275	1	hardy	hardy	ADJ
ejpam-2317	275	2	space	space	NOUN
ejpam-2317	275	3	h	h	NOUN
ejpam-2317	275	4	p	p	NOUN
ejpam-2317	275	5	u	u	X
ejpam-2317	275	6	(	(	PUNCT
ejpam-2317	275	7	d	d	PROPN
ejpam-2317	275	8	2	2	NUM
ejpam-2317	275	9	)	)	PUNCT
ejpam-2317	275	10	,	,	PUNCT
ejpam-2317	275	11	p	p	X
ejpam-2317	275	12	>	>	X
ejpam-2317	275	13	0	0	NUM
ejpam-2317	275	14	,	,	PUNCT
ejpam-2317	275	15	as	as	ADP
ejpam-2317	275	16	the	the	DET
ejpam-2317	275	17	space	space	NOUN
ejpam-2317	275	18	of	of	ADP
ejpam-2317	275	19	all	all	DET
ejpam-2317	275	20	holomorphic	holomorphic	ADJ
ejpam-2317	275	21	functions	function	NOUN
ejpam-2317	275	22	on	on	ADP
ejpam-2317	275	23	d2	d2	PROPN
ejpam-2317	275	24	for	for	ADP
ejpam-2317	275	25	which	which	PRON
ejpam-2317	275	26	lim	lim	PROPN
ejpam-2317	275	27	sup	sup	PROPN
ejpam-2317	275	28	r→0−	r→0−	PROPN
ejpam-2317	275	29	µu	µu	PROPN
ejpam-2317	275	30	,	,	PUNCT
ejpam-2317	275	31	r(|	r(|	PROPN
ejpam-2317	275	32	f	f	NOUN
ejpam-2317	275	33	|	|	ADV
ejpam-2317	275	34	p)<∞.	p)<∞.	VERB
ejpam-2317	275	35	these	these	DET
ejpam-2317	275	36	new	new	ADJ
ejpam-2317	275	37	spaces	space	NOUN
ejpam-2317	275	38	are	be	AUX
ejpam-2317	275	39	contained	contain	VERB
ejpam-2317	275	40	in	in	ADP
ejpam-2317	275	41	the	the	DET
ejpam-2317	275	42	classical	classical	ADJ
ejpam-2317	275	43	spaces	space	NOUN
ejpam-2317	275	44	,	,	PUNCT
ejpam-2317	275	45	that	that	ADV
ejpam-2317	275	46	is	is	ADV
ejpam-2317	275	47	,	,	PUNCT
ejpam-2317	275	48	h	h	PROPN
ejpam-2317	275	49	p	p	NOUN
ejpam-2317	275	50	u	u	X
ejpam-2317	275	51	(	(	PUNCT
ejpam-2317	275	52	d	d	PROPN
ejpam-2317	275	53	2	2	NUM
ejpam-2317	275	54	)	)	PUNCT
ejpam-2317	275	55	⊂	⊂	PROPN
ejpam-2317	275	56	h	h	PROPN
ejpam-2317	275	57	p(d2	p(d2	PROPN
ejpam-2317	275	58	)	)	PUNCT
ejpam-2317	275	59	.	.	PUNCT
ejpam-2317	276	1	since	since	SCONJ
ejpam-2317	276	2	µu	µu	NUM
ejpam-2317	276	3	,	,	PUNCT
ejpam-2317	276	4	r(|	r(|	PROPN
ejpam-2317	276	5	f	f	PROPN
ejpam-2317	276	6	|	|	ADV
ejpam-2317	276	7	p	p	X
ejpam-2317	276	8	)	)	PUNCT
ejpam-2317	276	9	is	be	AUX
ejpam-2317	276	10	an	an	DET
ejpam-2317	276	11	increasing	increase	VERB
ejpam-2317	276	12	function	function	NOUN
ejpam-2317	276	13	of	of	ADP
ejpam-2317	276	14	r	r	NOUN
ejpam-2317	276	15	the	the	DET
ejpam-2317	276	16	lim	lim	PROPN
ejpam-2317	276	17	sup	sup	NOUN
ejpam-2317	276	18	in	in	ADP
ejpam-2317	276	19	the	the	DET
ejpam-2317	276	20	definition	definition	NOUN
ejpam-2317	276	21	can	can	AUX
ejpam-2317	276	22	be	be	AUX
ejpam-2317	276	23	replaced	replace	VERB
ejpam-2317	276	24	by	by	ADP
ejpam-2317	276	25	lim	lim	PROPN
ejpam-2317	276	26	.	.	PUNCT
ejpam-2317	277	1	for	for	ADP
ejpam-2317	277	2	p	p	PRON
ejpam-2317	277	3	≥	≥	PROPN
ejpam-2317	277	4	1	1	NUM
ejpam-2317	277	5	‖	‖	PROPN
ejpam-2317	277	6	f	f	PROPN
ejpam-2317	277	7	‖p	‖p	PROPN
ejpam-2317	277	8	h	h	NOUN
ejpam-2317	277	9	p	p	NOUN
ejpam-2317	277	10	u	u	PROPN
ejpam-2317	277	11	=	=	PROPN
ejpam-2317	277	12	lim	lim	PROPN
ejpam-2317	277	13	r→0−	r→0−	PROPN
ejpam-2317	277	14	µu	µu	PROPN
ejpam-2317	277	15	,	,	PUNCT
ejpam-2317	277	16	r(|	r(|	PROPN
ejpam-2317	277	17	f	f	PROPN
ejpam-2317	277	18	|	|	ADV
ejpam-2317	277	19	p	p	X
ejpam-2317	277	20	)	)	PUNCT
ejpam-2317	277	21	is	be	AUX
ejpam-2317	277	22	a	a	DET
ejpam-2317	277	23	norm	norm	NOUN
ejpam-2317	277	24	and	and	CCONJ
ejpam-2317	277	25	with	with	ADP
ejpam-2317	277	26	this	this	DET
ejpam-2317	277	27	norm	norm	NOUN
ejpam-2317	277	28	h	h	NOUN
ejpam-2317	277	29	p	p	NOUN
ejpam-2317	277	30	u	u	X
ejpam-2317	277	31	(	(	PUNCT
ejpam-2317	277	32	d	d	NOUN
ejpam-2317	277	33	2	2	NUM
ejpam-2317	277	34	)	)	PUNCT
ejpam-2317	277	35	is	be	AUX
ejpam-2317	277	36	banach	banach	NOUN
ejpam-2317	277	37	[	[	X
ejpam-2317	277	38	3	3	NUM
ejpam-2317	277	39	,	,	PUNCT
ejpam-2317	277	40	theorem	theorem	VERB
ejpam-2317	277	41	4.1	4.1	NUM
ejpam-2317	277	42	]	]	PUNCT
ejpam-2317	277	43	.	.	PUNCT
ejpam-2317	278	1	the	the	DET
ejpam-2317	278	2	poletsky	poletsky	ADJ
ejpam-2317	278	3	–	–	PUNCT
ejpam-2317	278	4	stessin	stessin	VERB
ejpam-2317	278	5	hardy	hardy	ADJ
ejpam-2317	278	6	spaces	space	NOUN
ejpam-2317	278	7	on	on	ADP
ejpam-2317	278	8	the	the	DET
ejpam-2317	278	9	unit	unit	NOUN
ejpam-2317	278	10	disk	disk	NOUN
ejpam-2317	278	11	have	have	AUX
ejpam-2317	278	12	been	be	AUX
ejpam-2317	278	13	studied	study	VERB
ejpam-2317	278	14	in	in	ADP
ejpam-2317	278	15	detail	detail	NOUN
ejpam-2317	278	16	in	in	ADP
ejpam-2317	278	17	[	[	X
ejpam-2317	278	18	1	1	NUM
ejpam-2317	278	19	,	,	PUNCT
ejpam-2317	278	20	5	5	NUM
ejpam-2317	278	21	,	,	PUNCT
ejpam-2317	278	22	8–10	8–10	NOUN
ejpam-2317	278	23	]	]	PUNCT
ejpam-2317	278	24	.	.	PUNCT
ejpam-2317	279	1	in	in	ADP
ejpam-2317	279	2	[	[	X
ejpam-2317	279	3	4	4	X
ejpam-2317	279	4	]	]	PUNCT
ejpam-2317	279	5	poletsky	poletsky	NOUN
ejpam-2317	279	6	has	have	AUX
ejpam-2317	279	7	proved	prove	VERB
ejpam-2317	279	8	that	that	SCONJ
ejpam-2317	279	9	the	the	DET
ejpam-2317	279	10	intersection	intersection	NOUN
ejpam-2317	279	11	of	of	ADP
ejpam-2317	279	12	all	all	DET
ejpam-2317	279	13	poletsky	poletsky	ADJ
ejpam-2317	279	14	–	–	PUNCT
ejpam-2317	279	15	stessin	stessin	VERB
ejpam-2317	279	16	hardy	hardy	ADJ
ejpam-2317	279	17	spaces	space	NOUN
ejpam-2317	279	18	h	h	NOUN
ejpam-2317	279	19	p	p	X
ejpam-2317	279	20	u	u	X
ejpam-2317	279	21	(	(	PUNCT
ejpam-2317	279	22	d	d	PROPN
ejpam-2317	279	23	)	)	PUNCT
ejpam-2317	279	24	,	,	PUNCT
ejpam-2317	279	25	p	p	NOUN
ejpam-2317	279	26	≥	≥	NUM
ejpam-2317	279	27	1	1	NUM
ejpam-2317	279	28	,	,	PUNCT
ejpam-2317	279	29	where	where	SCONJ
ejpam-2317	279	30	d	d	NOUN
ejpam-2317	279	31	is	be	AUX
ejpam-2317	279	32	a	a	DET
ejpam-2317	279	33	strongly	strongly	ADV
ejpam-2317	279	34	pseudoconvex	pseudoconvex	NOUN
ejpam-2317	279	35	domain	domain	NOUN
ejpam-2317	279	36	with	with	ADP
ejpam-2317	279	37	c2	c2	PROPN
ejpam-2317	279	38	boundary	boundary	NOUN
ejpam-2317	279	39	,	,	PUNCT
ejpam-2317	279	40	is	be	AUX
ejpam-2317	279	41	h∞(d	h∞(d	VERB
ejpam-2317	279	42	)	)	PUNCT
ejpam-2317	279	43	,	,	PUNCT
ejpam-2317	279	44	the	the	DET
ejpam-2317	279	45	space	space	NOUN
ejpam-2317	279	46	of	of	ADP
ejpam-2317	279	47	bounded	bounded	ADJ
ejpam-2317	279	48	holomorphic	holomorphic	ADJ
ejpam-2317	279	49	functions	function	NOUN
ejpam-2317	279	50	.	.	PUNCT
ejpam-2317	280	1	hence	hence	ADV
ejpam-2317	280	2	it	it	PRON
ejpam-2317	280	3	immediately	immediately	ADV
ejpam-2317	280	4	follows	follow	VERB
ejpam-2317	280	5	that	that	SCONJ
ejpam-2317	280	6	the	the	DET
ejpam-2317	280	7	intersection	intersection	NOUN
ejpam-2317	280	8	of	of	ADP
ejpam-2317	280	9	all	all	DET
ejpam-2317	280	10	h	h	NOUN
ejpam-2317	280	11	p	p	NOUN
ejpam-2317	280	12	u	u	X
ejpam-2317	280	13	(	(	PUNCT
ejpam-2317	280	14	d	d	NOUN
ejpam-2317	280	15	)	)	PUNCT
ejpam-2317	280	16	is	be	AUX
ejpam-2317	280	17	h∞(d	h∞(d	NOUN
ejpam-2317	280	18	)	)	PUNCT
ejpam-2317	280	19	.	.	PUNCT
ejpam-2317	281	1	we	we	PRON
ejpam-2317	281	2	will	will	AUX
ejpam-2317	281	3	prove	prove	VERB
ejpam-2317	281	4	this	this	DET
ejpam-2317	281	5	result	result	NOUN
ejpam-2317	281	6	for	for	ADP
ejpam-2317	281	7	the	the	DET
ejpam-2317	281	8	polydisk	polydisk	NOUN
ejpam-2317	281	9	.	.	PUNCT
ejpam-2317	282	1	it	it	PRON
ejpam-2317	282	2	is	be	AUX
ejpam-2317	282	3	enough	enough	ADJ
ejpam-2317	282	4	to	to	PART
ejpam-2317	282	5	consider	consider	VERB
ejpam-2317	282	6	the	the	DET
ejpam-2317	282	7	bidisk	bidisk	NOUN
ejpam-2317	282	8	.	.	PUNCT
ejpam-2317	283	1	k.	k.	PROPN
ejpam-2317	283	2	shrestha	shrestha	PROPN
ejpam-2317	283	3	/	/	SYM
ejpam-2317	283	4	eur	eur	PROPN
ejpam-2317	283	5	.	.	PUNCT
ejpam-2317	284	1	j.	j.	PROPN
ejpam-2317	284	2	pure	pure	PROPN
ejpam-2317	284	3	appl	appl	PROPN
ejpam-2317	284	4	.	.	PROPN
ejpam-2317	284	5	math	math	PROPN
ejpam-2317	284	6	,	,	PUNCT
ejpam-2317	284	7	9	9	NUM
ejpam-2317	284	8	(	(	PUNCT
ejpam-2317	284	9	2016	2016	NUM
ejpam-2317	284	10	)	)	PUNCT
ejpam-2317	284	11	,	,	PUNCT
ejpam-2317	284	12	292	292	NUM
ejpam-2317	284	13	-	-	SYM
ejpam-2317	284	14	304	304	NUM
ejpam-2317	284	15	300	300	NUM
ejpam-2317	284	16	let	let	VERB
ejpam-2317	284	17	ζ	ζ	NOUN
ejpam-2317	284	18	=	=	SYM
ejpam-2317	284	19	(	(	PUNCT
ejpam-2317	284	20	ζ1,ζ2	ζ1,ζ2	PROPN
ejpam-2317	284	21	)	)	PUNCT
ejpam-2317	284	22	∈	∈	PROPN
ejpam-2317	284	23	t	t	PROPN
ejpam-2317	284	24	2	2	NUM
ejpam-2317	284	25	and	and	CCONJ
ejpam-2317	284	26	α	α	NOUN
ejpam-2317	284	27	=	=	SYM
ejpam-2317	284	28	(	(	PUNCT
ejpam-2317	284	29	α1,α2	α1,α2	PROPN
ejpam-2317	284	30	)	)	PUNCT
ejpam-2317	284	31	,	,	PUNCT
ejpam-2317	284	32	0	0	PUNCT
ejpam-2317	284	33	<	<	X
ejpam-2317	284	34	α1,α2	α1,α2	PROPN
ejpam-2317	284	35	<	<	X
ejpam-2317	284	36	π/2	π/2	PROPN
ejpam-2317	284	37	.	.	PUNCT
ejpam-2317	285	1	following	follow	VERB
ejpam-2317	285	2	[	[	X
ejpam-2317	285	3	11	11	NUM
ejpam-2317	285	4	]	]	PUNCT
ejpam-2317	285	5	we	we	PRON
ejpam-2317	285	6	define	define	VERB
ejpam-2317	285	7	the	the	DET
ejpam-2317	285	8	approach	approach	NOUN
ejpam-2317	285	9	region	region	NOUN
ejpam-2317	285	10	tα(ζ	tα(ζ	NOUN
ejpam-2317	285	11	)	)	PUNCT
ejpam-2317	285	12	as	as	ADP
ejpam-2317	285	13	tα(ζ	tα(ζ	NOUN
ejpam-2317	285	14	)	)	PUNCT
ejpam-2317	285	15	=	=	SYM
ejpam-2317	285	16	tα1	tα1	NOUN
ejpam-2317	285	17	(	(	PUNCT
ejpam-2317	285	18	ζ1)×	ζ1)×	X
ejpam-2317	285	19	tα2	tα2	NOUN
ejpam-2317	285	20	(	(	PUNCT
ejpam-2317	285	21	ζ2	ζ2	NOUN
ejpam-2317	285	22	)	)	PUNCT
ejpam-2317	285	23	where	where	SCONJ
ejpam-2317	285	24	tα	tα	PROPN
ejpam-2317	285	25	j	j	PROPN
ejpam-2317	285	26	(	(	PUNCT
ejpam-2317	285	27	ζ	ζ	PROPN
ejpam-2317	285	28	j	j	NOUN
ejpam-2317	285	29	)	)	PUNCT
ejpam-2317	285	30	is	be	AUX
ejpam-2317	285	31	the	the	DET
ejpam-2317	285	32	stolz	stolz	PROPN
ejpam-2317	285	33	angle	angle	NOUN
ejpam-2317	285	34	at	at	ADP
ejpam-2317	285	35	ζ	ζ	PROPN
ejpam-2317	285	36	j	j	PROPN
ejpam-2317	285	37	∈	∈	PROPN
ejpam-2317	285	38	t	t	PROPN
ejpam-2317	285	39	with	with	ADP
ejpam-2317	285	40	vertex	vertex	NOUN
ejpam-2317	285	41	angle	angle	NOUN
ejpam-2317	285	42	2α	2α	PROPN
ejpam-2317	285	43	j	j	PROPN
ejpam-2317	285	44	.	.	PUNCT
ejpam-2317	286	1	here	here	ADV
ejpam-2317	286	2	we	we	PRON
ejpam-2317	286	3	will	will	AUX
ejpam-2317	286	4	consider	consider	VERB
ejpam-2317	286	5	only	only	ADV
ejpam-2317	286	6	the	the	DET
ejpam-2317	286	7	congruent	congruent	ADJ
ejpam-2317	286	8	symmetric	symmetric	ADJ
ejpam-2317	286	9	approach	approach	NOUN
ejpam-2317	286	10	regions	region	NOUN
ejpam-2317	286	11	meaning	mean	VERB
ejpam-2317	286	12	that	that	SCONJ
ejpam-2317	286	13	the	the	DET
ejpam-2317	286	14	stolz	stolz	PROPN
ejpam-2317	286	15	angles	angle	NOUN
ejpam-2317	286	16	are	be	AUX
ejpam-2317	286	17	symmetric	symmetric	ADJ
ejpam-2317	286	18	with	with	ADP
ejpam-2317	286	19	respect	respect	NOUN
ejpam-2317	286	20	to	to	ADP
ejpam-2317	286	21	the	the	DET
ejpam-2317	286	22	radius	radius	NOUN
ejpam-2317	286	23	to	to	ADP
ejpam-2317	286	24	ζ	ζ	PROPN
ejpam-2317	286	25	j	j	NOUN
ejpam-2317	286	26	and	and	CCONJ
ejpam-2317	286	27	the	the	DET
ejpam-2317	286	28	vertex	vertex	NOUN
ejpam-2317	286	29	angles	angle	NOUN
ejpam-2317	286	30	are	be	AUX
ejpam-2317	286	31	equal	equal	ADJ
ejpam-2317	286	32	,	,	PUNCT
ejpam-2317	286	33	i.e.	i.e.	X
ejpam-2317	286	34	α1	α1	X
ejpam-2317	286	35	=	=	SYM
ejpam-2317	286	36	α2	α2	PROPN
ejpam-2317	286	37	.	.	PUNCT
ejpam-2317	287	1	following	follow	VERB
ejpam-2317	287	2	[	[	X
ejpam-2317	287	3	4	4	X
ejpam-2317	287	4	]	]	PUNCT
ejpam-2317	287	5	we	we	PRON
ejpam-2317	287	6	define	define	VERB
ejpam-2317	287	7	the	the	DET
ejpam-2317	287	8	green	green	ADJ
ejpam-2317	287	9	ball	ball	NOUN
ejpam-2317	287	10	of	of	ADP
ejpam-2317	287	11	radius	radius	NOUN
ejpam-2317	287	12	0	0	NUM
ejpam-2317	287	13	<	<	X
ejpam-2317	287	14	r	r	NOUN
ejpam-2317	287	15	<	<	X
ejpam-2317	287	16	1	1	NUM
ejpam-2317	287	17	and	and	CCONJ
ejpam-2317	287	18	center	center	NOUN
ejpam-2317	287	19	at	at	ADP
ejpam-2317	287	20	w	w	PROPN
ejpam-2317	287	21	to	to	PART
ejpam-2317	287	22	be	be	AUX
ejpam-2317	287	23	the	the	DET
ejpam-2317	287	24	set	set	NOUN
ejpam-2317	287	25	g(w	g(w	PROPN
ejpam-2317	287	26	,	,	PUNCT
ejpam-2317	287	27	r	r	NOUN
ejpam-2317	287	28	)	)	PUNCT
ejpam-2317	287	29	=	=	SYM
ejpam-2317	287	30	{	{	PUNCT
ejpam-2317	287	31	z	z	NOUN
ejpam-2317	287	32	∈	∈	PROPN
ejpam-2317	287	33	d2	d2	NOUN
ejpam-2317	287	34	:	:	PUNCT
ejpam-2317	288	1	g(z	g(z	PROPN
ejpam-2317	288	2	,	,	PUNCT
ejpam-2317	288	3	w	w	NOUN
ejpam-2317	288	4	)	)	PUNCT
ejpam-2317	288	5	<	<	X
ejpam-2317	288	6	log	log	PROPN
ejpam-2317	288	7	r	r	NOUN
ejpam-2317	288	8	}	}	PUNCT
ejpam-2317	288	9	where	where	SCONJ
ejpam-2317	288	10	g(z	g(z	PROPN
ejpam-2317	288	11	,	,	PUNCT
ejpam-2317	288	12	w	w	NOUN
ejpam-2317	288	13	)	)	PUNCT
ejpam-2317	288	14	is	be	AUX
ejpam-2317	288	15	the	the	DET
ejpam-2317	288	16	green	green	ADJ
ejpam-2317	288	17	function	function	NOUN
ejpam-2317	288	18	for	for	ADP
ejpam-2317	288	19	d2	d2	PROPN
ejpam-2317	288	20	with	with	ADP
ejpam-2317	288	21	pole	pole	NOUN
ejpam-2317	288	22	at	at	ADP
ejpam-2317	288	23	w.	w.	PROPN
ejpam-2317	288	24	the	the	DET
ejpam-2317	288	25	green	green	ADJ
ejpam-2317	288	26	function	function	NOUN
ejpam-2317	288	27	for	for	ADP
ejpam-2317	288	28	d2	d2	PROPN
ejpam-2317	288	29	is	be	AUX
ejpam-2317	288	30	explicitly	explicitly	ADV
ejpam-2317	288	31	given	give	VERB
ejpam-2317	288	32	by	by	ADP
ejpam-2317	288	33	g(z	g(z	PROPN
ejpam-2317	288	34	,	,	PUNCT
ejpam-2317	288	35	w	w	NOUN
ejpam-2317	288	36	)	)	PUNCT
ejpam-2317	288	37	=	=	VERB
ejpam-2317	288	38	log	log	PROPN
ejpam-2317	288	39	max	max	PROPN
ejpam-2317	288	40	�	�	PROPN
ejpam-2317	288	41	�	�	PROPN
ejpam-2317	288	42	�	�	PROPN
ejpam-2317	288	43	�	�	PROPN
ejpam-2317	288	44	�	�	PROPN
ejpam-2317	288	45	z1	z1	PROPN
ejpam-2317	288	46	−w1	−w1	PROPN
ejpam-2317	288	47	1−w1z1	1−w1z1	PROPN
ejpam-2317	288	48	�	�	PROPN
ejpam-2317	288	49	�	�	PROPN
ejpam-2317	288	50	�	�	PROPN
ejpam-2317	288	51	�	�	PROPN
ejpam-2317	288	52	,	,	PUNCT
ejpam-2317	288	53	�	�	PROPN
ejpam-2317	288	54	�	�	PROPN
ejpam-2317	288	55	�	�	PROPN
ejpam-2317	288	56	�	�	PROPN
ejpam-2317	288	57	z2	z2	PROPN
ejpam-2317	288	58	−w2	−w2	PROPN
ejpam-2317	288	59	1−w2z2	1−w2z2	PROPN
ejpam-2317	288	60	�	�	PROPN
ejpam-2317	288	61	�	�	PROPN
ejpam-2317	288	62	�	�	PROPN
ejpam-2317	288	63	�	�	PROPN
ejpam-2317	288	64	�	�	PROPN
ejpam-2317	288	65	.	.	PUNCT
ejpam-2317	289	1	hence	hence	ADV
ejpam-2317	289	2	it	it	PRON
ejpam-2317	289	3	follows	follow	VERB
ejpam-2317	289	4	that	that	SCONJ
ejpam-2317	290	1	g(w	g(w	PROPN
ejpam-2317	290	2	,	,	PUNCT
ejpam-2317	290	3	r	r	NOUN
ejpam-2317	290	4	)	)	PUNCT
ejpam-2317	290	5	=	=	SYM
ejpam-2317	290	6	�	�	PROPN
ejpam-2317	290	7	z1	z1	VERB
ejpam-2317	290	8	∈	∈	PROPN
ejpam-2317	290	9	d	d	X
ejpam-2317	290	10	:	:	PUNCT
ejpam-2317	290	11	�	�	PROPN
ejpam-2317	290	12	�	�	PROPN
ejpam-2317	290	13	�	�	PROPN
ejpam-2317	290	14	�	�	PROPN
ejpam-2317	290	15	z1	z1	PROPN
ejpam-2317	290	16	−w1	−w1	PROPN
ejpam-2317	290	17	1−w1z1	1−w1z1	PROPN
ejpam-2317	290	18	�	�	PROPN
ejpam-2317	290	19	�	�	PROPN
ejpam-2317	290	20	�	�	PROPN
ejpam-2317	290	21	�	�	PROPN
ejpam-2317	290	22	<	<	X
ejpam-2317	290	23	r	r	NOUN
ejpam-2317	290	24	�	�	PROPN
ejpam-2317	290	25	×	×	PROPN
ejpam-2317	290	26	�	�	PROPN
ejpam-2317	290	27	z2	z2	PROPN
ejpam-2317	290	28	∈	∈	PROPN
ejpam-2317	290	29	d	d	X
ejpam-2317	290	30	:	:	PUNCT
ejpam-2317	290	31	�	�	PROPN
ejpam-2317	290	32	�	�	PROPN
ejpam-2317	290	33	�	�	PROPN
ejpam-2317	290	34	�	�	PROPN
ejpam-2317	290	35	z2	z2	PROPN
ejpam-2317	290	36	−	−	PROPN
ejpam-2317	290	37	w2	w2	PROPN
ejpam-2317	290	38	2−w2z2	2−w2z2	PROPN
ejpam-2317	290	39	�	�	PROPN
ejpam-2317	290	40	�	�	PROPN
ejpam-2317	290	41	�	�	PROPN
ejpam-2317	290	42	�	�	PROPN
ejpam-2317	290	43	<	<	X
ejpam-2317	290	44	r	r	PROPN
ejpam-2317	290	45	�	�	PROPN
ejpam-2317	290	46	.	.	PUNCT
ejpam-2317	291	1	lemma	lemma	PROPN
ejpam-2317	291	2	1	1	X
ejpam-2317	291	3	.	.	PUNCT
ejpam-2317	292	1	let	let	VERB
ejpam-2317	292	2	ζ	ζ	NOUN
ejpam-2317	292	3	=	=	SYM
ejpam-2317	292	4	(	(	PUNCT
ejpam-2317	292	5	ζ1,ζ2	ζ1,ζ2	PROPN
ejpam-2317	292	6	)	)	PUNCT
ejpam-2317	292	7	∈	∈	PROPN
ejpam-2317	292	8	t	t	NOUN
ejpam-2317	292	9	2	2	NUM
ejpam-2317	292	10	and	and	CCONJ
ejpam-2317	292	11	0	0	NUM
ejpam-2317	292	12	<	<	X
ejpam-2317	292	13	r	r	X
ejpam-2317	292	14	<	<	X
ejpam-2317	292	15	1	1	NUM
ejpam-2317	292	16	.	.	PUNCT
ejpam-2317	293	1	for	for	ADP
ejpam-2317	293	2	any	any	DET
ejpam-2317	293	3	0	0	PUNCT
ejpam-2317	293	4	<	<	X
ejpam-2317	293	5	t	t	X
ejpam-2317	293	6	<	<	X
ejpam-2317	293	7	1	1	NUM
ejpam-2317	293	8	there	there	ADV
ejpam-2317	293	9	exists	exist	VERB
ejpam-2317	293	10	0	0	PUNCT
ejpam-2317	293	11	<	<	X
ejpam-2317	293	12	α	α	X
ejpam-2317	293	13	<	<	X
ejpam-2317	293	14	π/2	π/2	NUM
ejpam-2317	293	15	such	such	ADJ
ejpam-2317	293	16	that	that	SCONJ
ejpam-2317	293	17	g(tζ	g(tζ	PROPN
ejpam-2317	293	18	,	,	PUNCT
ejpam-2317	293	19	r	r	NOUN
ejpam-2317	293	20	)	)	PUNCT
ejpam-2317	293	21	⊂	⊂	PROPN
ejpam-2317	293	22	tα(ζ	tα(ζ	NOUN
ejpam-2317	293	23	)	)	PUNCT
ejpam-2317	293	24	where	where	SCONJ
ejpam-2317	293	25	tζ	tζ	X
ejpam-2317	293	26	=	=	SYM
ejpam-2317	293	27	(	(	PUNCT
ejpam-2317	293	28	tζ1	tζ1	PROPN
ejpam-2317	293	29	,	,	PUNCT
ejpam-2317	293	30	tζ2	tζ2	PROPN
ejpam-2317	293	31	)	)	PUNCT
ejpam-2317	293	32	and	and	CCONJ
ejpam-2317	293	33	tα(ζ	tα(ζ	NUM
ejpam-2317	293	34	)	)	PUNCT
ejpam-2317	293	35	=	=	SYM
ejpam-2317	293	36	tα(ζ1)×	tα(ζ1)×	PROPN
ejpam-2317	293	37	tα(ζ2	tα(ζ2	NOUN
ejpam-2317	293	38	)	)	PUNCT
ejpam-2317	293	39	.	.	PUNCT
ejpam-2317	294	1	proof	proof	NOUN
ejpam-2317	294	2	.	.	PUNCT
ejpam-2317	295	1	observe	observe	VERB
ejpam-2317	295	2	that	that	SCONJ
ejpam-2317	295	3	(	(	PUNCT
ejpam-2317	295	4	z	z	NOUN
ejpam-2317	295	5	j	j	PROPN
ejpam-2317	295	6	∈	∈	PROPN
ejpam-2317	296	1	d	d	X
ejpam-2317	296	2	:	:	PUNCT
ejpam-2317	296	3	�	�	PROPN
ejpam-2317	296	4	�	�	PROPN
ejpam-2317	296	5	�	�	PROPN
ejpam-2317	296	6	�	�	PROPN
ejpam-2317	296	7	�	�	PROPN
ejpam-2317	296	8	z	z	PROPN
ejpam-2317	296	9	j	j	PROPN
ejpam-2317	297	1	−	−	PROPN
ejpam-2317	297	2	tζ	tζ	PROPN
ejpam-2317	297	3	j	j	PROPN
ejpam-2317	297	4	1−	1−	NUM
ejpam-2317	297	5	tζ	tζ	PROPN
ejpam-2317	297	6	jz	jz	PROPN
ejpam-2317	297	7	j	j	PROPN
ejpam-2317	297	8	�	�	PROPN
ejpam-2317	297	9	�	�	PROPN
ejpam-2317	297	10	�	�	PROPN
ejpam-2317	297	11	�	�	PROPN
ejpam-2317	297	12	�	�	PROPN
ejpam-2317	297	13	<	<	X
ejpam-2317	297	14	r	r	NOUN
ejpam-2317	297	15	)	)	PUNCT
ejpam-2317	297	16	is	be	AUX
ejpam-2317	297	17	the	the	DET
ejpam-2317	297	18	image	image	NOUN
ejpam-2317	297	19	of	of	ADP
ejpam-2317	297	20	the	the	DET
ejpam-2317	297	21	disk	disk	NOUN
ejpam-2317	297	22	{	{	PUNCT
ejpam-2317	297	23	|w	|w	NOUN
ejpam-2317	297	24	j	j	PROPN
ejpam-2317	298	1	|	|	NOUN
ejpam-2317	298	2	<	<	X
ejpam-2317	298	3	r	r	X
ejpam-2317	298	4	}	}	PUNCT
ejpam-2317	298	5	⊂	⊂	PROPN
ejpam-2317	298	6	c	c	NOUN
ejpam-2317	298	7	under	under	ADP
ejpam-2317	298	8	the	the	DET
ejpam-2317	298	9	conformal	conformal	NOUN
ejpam-2317	298	10	map	map	NOUN
ejpam-2317	299	1	w	w	PROPN
ejpam-2317	299	2	j	j	PROPN
ejpam-2317	299	3	7→	7→	PROPN
ejpam-2317	299	4	w	w	PROPN
ejpam-2317	299	5	j	j	PROPN
ejpam-2317	300	1	+	+	CCONJ
ejpam-2317	300	2	tζ	tζ	PROPN
ejpam-2317	300	3	j	j	PROPN
ejpam-2317	300	4	1	1	NUM
ejpam-2317	300	5	+	+	NUM
ejpam-2317	300	6	tζ	tζ	PROPN
ejpam-2317	300	7	jw	jw	PROPN
ejpam-2317	300	8	j	j	PROPN
ejpam-2317	300	9	which	which	PRON
ejpam-2317	300	10	is	be	AUX
ejpam-2317	300	11	a	a	DET
ejpam-2317	300	12	disk	disk	NOUN
ejpam-2317	300	13	contained	contain	VERB
ejpam-2317	300	14	in	in	ADP
ejpam-2317	300	15	d	d	PROPN
ejpam-2317	300	16	with	with	ADP
ejpam-2317	300	17	center	center	NOUN
ejpam-2317	300	18	at	at	ADP
ejpam-2317	300	19	t(1−	t(1−	ADJ
ejpam-2317	300	20	r2	r2	NOUN
ejpam-2317	300	21	)	)	PUNCT
ejpam-2317	300	22	1−	1−	NUM
ejpam-2317	300	23	r2	r2	PROPN
ejpam-2317	300	24	t2	t2	PROPN
ejpam-2317	300	25	ζ	ζ	PROPN
ejpam-2317	300	26	j	j	PROPN
ejpam-2317	300	27	and	and	CCONJ
ejpam-2317	300	28	radius	radius	NOUN
ejpam-2317	300	29	equal	equal	ADJ
ejpam-2317	300	30	to	to	ADP
ejpam-2317	300	31	r(1−	r(1−	PROPN
ejpam-2317	300	32	t2	t2	NOUN
ejpam-2317	300	33	)	)	PUNCT
ejpam-2317	300	34	1−	1−	NUM
ejpam-2317	300	35	r2	r2	PROPN
ejpam-2317	300	36	t2	t2	PROPN
ejpam-2317	300	37	.	.	PUNCT
ejpam-2317	301	1	the	the	DET
ejpam-2317	301	2	tangents	tangent	NOUN
ejpam-2317	301	3	to	to	ADP
ejpam-2317	301	4	this	this	DET
ejpam-2317	301	5	disk	disk	NOUN
ejpam-2317	301	6	that	that	PRON
ejpam-2317	301	7	pass	pass	VERB
ejpam-2317	301	8	through	through	ADP
ejpam-2317	301	9	ζ	ζ	PROPN
ejpam-2317	301	10	j	j	PROPN
ejpam-2317	301	11	make	make	VERB
ejpam-2317	301	12	an	an	DET
ejpam-2317	301	13	angle	angle	NOUN
ejpam-2317	301	14	of	of	ADP
ejpam-2317	301	15	α=	α=	PROPN
ejpam-2317	301	16	arcsin	arcsin	PROPN
ejpam-2317	301	17	�	�	PROPN
ejpam-2317	301	18	r(1	r(1	PROPN
ejpam-2317	301	19	+	+	PROPN
ejpam-2317	301	20	t	t	PROPN
ejpam-2317	301	21	)	)	PUNCT
ejpam-2317	301	22	1	1	NUM
ejpam-2317	301	23	+	+	NUM
ejpam-2317	301	24	t	t	PROPN
ejpam-2317	301	25	r2	r2	PROPN
ejpam-2317	301	26	�	�	PROPN
ejpam-2317	301	27	k.	k.	PROPN
ejpam-2317	301	28	shrestha	shrestha	PROPN
ejpam-2317	301	29	/	/	SYM
ejpam-2317	301	30	eur	eur	PROPN
ejpam-2317	301	31	.	.	PUNCT
ejpam-2317	302	1	j.	j.	PROPN
ejpam-2317	302	2	pure	pure	PROPN
ejpam-2317	302	3	appl	appl	PROPN
ejpam-2317	302	4	.	.	PROPN
ejpam-2317	302	5	math	math	PROPN
ejpam-2317	302	6	,	,	PUNCT
ejpam-2317	302	7	9	9	NUM
ejpam-2317	302	8	(	(	PUNCT
ejpam-2317	302	9	2016	2016	NUM
ejpam-2317	302	10	)	)	PUNCT
ejpam-2317	302	11	,	,	PUNCT
ejpam-2317	302	12	292	292	NUM
ejpam-2317	302	13	-	-	SYM
ejpam-2317	302	14	304	304	NUM
ejpam-2317	302	15	301	301	NUM
ejpam-2317	302	16	with	with	ADP
ejpam-2317	302	17	the	the	DET
ejpam-2317	302	18	radius	radius	NOUN
ejpam-2317	302	19	to	to	ADP
ejpam-2317	302	20	ζ	ζ	PROPN
ejpam-2317	302	21	j	j	PROPN
ejpam-2317	302	22	.	.	PUNCT
ejpam-2317	303	1	hence	hence	ADV
ejpam-2317	303	2	(	(	PUNCT
ejpam-2317	303	3	z	z	NOUN
ejpam-2317	303	4	j	j	PROPN
ejpam-2317	303	5	∈	∈	PROPN
ejpam-2317	303	6	d	d	X
ejpam-2317	303	7	:	:	PUNCT
ejpam-2317	303	8	�	�	PROPN
ejpam-2317	303	9	�	�	PROPN
ejpam-2317	303	10	�	�	PROPN
ejpam-2317	303	11	�	�	PROPN
ejpam-2317	303	12	�	�	PROPN
ejpam-2317	303	13	z	z	PROPN
ejpam-2317	303	14	j	j	PROPN
ejpam-2317	304	1	−	−	PROPN
ejpam-2317	304	2	tζ	tζ	PROPN
ejpam-2317	304	3	j	j	PROPN
ejpam-2317	304	4	1−	1−	NUM
ejpam-2317	304	5	tζ	tζ	PROPN
ejpam-2317	304	6	jz	jz	PROPN
ejpam-2317	304	7	j	j	PROPN
ejpam-2317	304	8	�	�	PROPN
ejpam-2317	304	9	�	�	PROPN
ejpam-2317	304	10	�	�	PROPN
ejpam-2317	304	11	�	�	PROPN
ejpam-2317	304	12	�	�	PROPN
ejpam-2317	304	13	<	<	X
ejpam-2317	304	14	r	r	NOUN
ejpam-2317	304	15	)	)	PUNCT
ejpam-2317	304	16	⊂	⊂	PROPN
ejpam-2317	304	17	tα(ζ	tα(ζ	NUM
ejpam-2317	304	18	j	j	PROPN
ejpam-2317	304	19	)	)	PUNCT
ejpam-2317	304	20	for	for	ADP
ejpam-2317	304	21	j	j	PROPN
ejpam-2317	304	22	=	=	SYM
ejpam-2317	304	23	1,2	1,2	NUM
ejpam-2317	304	24	and	and	CCONJ
ejpam-2317	304	25	g(tζ	g(tζ	ADJ
ejpam-2317	304	26	,	,	PUNCT
ejpam-2317	304	27	r	r	NOUN
ejpam-2317	304	28	)	)	PUNCT
ejpam-2317	304	29	⊂	⊂	NOUN
ejpam-2317	304	30	tα(ζ	tα(ζ	NOUN
ejpam-2317	304	31	)	)	PUNCT
ejpam-2317	304	32	.	.	PUNCT
ejpam-2317	305	1	since	since	SCONJ
ejpam-2317	305	2	for	for	ADP
ejpam-2317	305	3	fixed	fix	VERB
ejpam-2317	305	4	0	0	NUM
ejpam-2317	305	5	<	<	X
ejpam-2317	305	6	r	r	X
ejpam-2317	305	7	<	<	X
ejpam-2317	305	8	1	1	NUM
ejpam-2317	305	9	t	t	NOUN
ejpam-2317	305	10	7→	7→	NUM
ejpam-2317	305	11	r(1	r(1	PROPN
ejpam-2317	305	12	+	+	PROPN
ejpam-2317	305	13	t	t	PROPN
ejpam-2317	305	14	)	)	PUNCT
ejpam-2317	305	15	1	1	NUM
ejpam-2317	305	16	+	+	NUM
ejpam-2317	305	17	t	t	NOUN
ejpam-2317	305	18	r2	r2	NOUN
ejpam-2317	305	19	is	be	AUX
ejpam-2317	305	20	an	an	DET
ejpam-2317	305	21	increasing	increase	VERB
ejpam-2317	305	22	function	function	NOUN
ejpam-2317	305	23	of	of	ADP
ejpam-2317	305	24	t	t	PROPN
ejpam-2317	305	25	∈	∈	PROPN
ejpam-2317	305	26	[	[	X
ejpam-2317	305	27	0,1	0,1	NUM
ejpam-2317	305	28	]	]	PUNCT
ejpam-2317	305	29	we	we	PRON
ejpam-2317	305	30	have	have	VERB
ejpam-2317	305	31	0	0	NUM
ejpam-2317	305	32	<	<	X
ejpam-2317	305	33	r(1	r(1	PROPN
ejpam-2317	305	34	+	+	PROPN
ejpam-2317	305	35	t	t	PROPN
ejpam-2317	305	36	)	)	PUNCT
ejpam-2317	305	37	1	1	NUM
ejpam-2317	305	38	+	+	NUM
ejpam-2317	305	39	t	t	NOUN
ejpam-2317	305	40	r2	r2	NOUN
ejpam-2317	305	41	≤	≤	NUM
ejpam-2317	305	42	2r	2r	NUM
ejpam-2317	305	43	1	1	NUM
ejpam-2317	305	44	+	+	NUM
ejpam-2317	305	45	r2	r2	PROPN
ejpam-2317	305	46	<	<	X
ejpam-2317	305	47	1	1	NUM
ejpam-2317	305	48	.	.	PUNCT
ejpam-2317	306	1	from	from	ADP
ejpam-2317	306	2	this	this	PRON
ejpam-2317	306	3	it	it	PRON
ejpam-2317	306	4	follows	follow	VERB
ejpam-2317	306	5	that	that	SCONJ
ejpam-2317	306	6	0	0	X
ejpam-2317	306	7	<	<	X
ejpam-2317	306	8	α≤	α≤	PROPN
ejpam-2317	306	9	arcsin	arcsin	PROPN
ejpam-2317	306	10	�	�	PROPN
ejpam-2317	306	11	2r	2r	NUM
ejpam-2317	306	12	1	1	NUM
ejpam-2317	306	13	+	+	NUM
ejpam-2317	306	14	r2	r2	PROPN
ejpam-2317	306	15	�	�	PROPN
ejpam-2317	306	16	<	<	X
ejpam-2317	306	17	π	π	PROPN
ejpam-2317	306	18	2	2	NUM
ejpam-2317	306	19	.	.	PUNCT
ejpam-2317	306	20	remark	remark	NOUN
ejpam-2317	306	21	1	1	NUM
ejpam-2317	306	22	.	.	PUNCT
ejpam-2317	307	1	for	for	ADP
ejpam-2317	307	2	fixed	fix	VERB
ejpam-2317	307	3	0	0	NUM
ejpam-2317	307	4	<	<	X
ejpam-2317	307	5	r	r	X
ejpam-2317	307	6	<	<	X
ejpam-2317	307	7	1	1	NUM
ejpam-2317	307	8	,	,	PUNCT
ejpam-2317	307	9	t	t	PROPN
ejpam-2317	307	10	7→	7→	NUM
ejpam-2317	307	11	r(1−	r(1−	NOUN
ejpam-2317	307	12	t2	t2	PROPN
ejpam-2317	307	13	)	)	PUNCT
ejpam-2317	307	14	1−	1−	NUM
ejpam-2317	307	15	r2	r2	NOUN
ejpam-2317	307	16	t2	t2	PROPN
ejpam-2317	307	17	is	be	AUX
ejpam-2317	307	18	a	a	DET
ejpam-2317	307	19	decreasing	decrease	VERB
ejpam-2317	307	20	function	function	NOUN
ejpam-2317	307	21	of	of	ADP
ejpam-2317	307	22	t	t	PROPN
ejpam-2317	307	23	∈	∈	PROPN
ejpam-2317	308	1	[	[	X
ejpam-2317	308	2	0,1	0,1	NUM
ejpam-2317	308	3	]	]	PUNCT
ejpam-2317	308	4	that	that	PRON
ejpam-2317	308	5	decreases	decrease	VERB
ejpam-2317	308	6	to	to	ADP
ejpam-2317	308	7	zero	zero	NUM
ejpam-2317	308	8	as	as	ADP
ejpam-2317	308	9	t	t	PROPN
ejpam-2317	308	10	→	→	SYM
ejpam-2317	308	11	1	1	X
ejpam-2317	308	12	.	.	PUNCT
ejpam-2317	309	1	therefore	therefore	ADV
ejpam-2317	309	2	we	we	PRON
ejpam-2317	309	3	can	can	AUX
ejpam-2317	309	4	make	make	VERB
ejpam-2317	309	5	the	the	DET
ejpam-2317	309	6	size	size	NOUN
ejpam-2317	309	7	of	of	ADP
ejpam-2317	309	8	the	the	DET
ejpam-2317	309	9	green	green	PROPN
ejpam-2317	309	10	ball	ball	PROPN
ejpam-2317	309	11	g(tζ	g(tζ	PROPN
ejpam-2317	309	12	,	,	PUNCT
ejpam-2317	309	13	r	r	NOUN
ejpam-2317	309	14	)	)	PUNCT
ejpam-2317	309	15	as	as	ADV
ejpam-2317	309	16	small	small	ADJ
ejpam-2317	309	17	as	as	SCONJ
ejpam-2317	309	18	we	we	PRON
ejpam-2317	309	19	want	want	VERB
ejpam-2317	309	20	simply	simply	ADV
ejpam-2317	309	21	by	by	ADP
ejpam-2317	309	22	choosing	choose	VERB
ejpam-2317	309	23	t	t	NOUN
ejpam-2317	309	24	close	close	ADJ
ejpam-2317	309	25	enough	enough	ADV
ejpam-2317	309	26	to	to	PART
ejpam-2317	309	27	1	1	NUM
ejpam-2317	309	28	.	.	PUNCT
ejpam-2317	310	1	the	the	DET
ejpam-2317	310	2	plurisubharmonic	plurisubharmonic	ADJ
ejpam-2317	310	3	envelope	envelope	NOUN
ejpam-2317	310	4	eφ	eφ	PROPN
ejpam-2317	310	5	of	of	ADP
ejpam-2317	310	6	a	a	DET
ejpam-2317	310	7	continuous	continuous	ADJ
ejpam-2317	310	8	function	function	NOUN
ejpam-2317	310	9	φ	φ	NOUN
ejpam-2317	310	10	on	on	ADP
ejpam-2317	310	11	a	a	DET
ejpam-2317	310	12	domain	domain	NOUN
ejpam-2317	310	13	ω	ω	X
ejpam-2317	310	14	⊂	⊂	PROPN
ejpam-2317	310	15	cn	cn	PROPN
ejpam-2317	310	16	is	be	AUX
ejpam-2317	310	17	the	the	DET
ejpam-2317	310	18	maximal	maximal	ADJ
ejpam-2317	310	19	plurisubharmonic	plurisubharmonic	ADJ
ejpam-2317	310	20	function	function	NOUN
ejpam-2317	310	21	on	on	ADP
ejpam-2317	310	22	ω	ω	PROPN
ejpam-2317	310	23	less	less	ADJ
ejpam-2317	310	24	than	than	ADP
ejpam-2317	310	25	or	or	CCONJ
ejpam-2317	310	26	equal	equal	ADJ
ejpam-2317	310	27	to	to	ADP
ejpam-2317	310	28	φ	φ	NUM
ejpam-2317	310	29	.	.	PUNCT
ejpam-2317	311	1	for	for	ADP
ejpam-2317	311	2	a	a	DET
ejpam-2317	311	3	sequence	sequence	NOUN
ejpam-2317	311	4	of	of	ADP
ejpam-2317	311	5	functions	function	NOUN
ejpam-2317	311	6	{	{	PUNCT
ejpam-2317	311	7	u	u	NOUN
ejpam-2317	311	8	j	j	PROPN
ejpam-2317	311	9	}	}	PUNCT
ejpam-2317	311	10	⊂	⊂	PROPN
ejpam-2317	311	11	e	e	X
ejpam-2317	311	12	(	(	PUNCT
ejpam-2317	311	13	d	d	PROPN
ejpam-2317	311	14	2	2	NUM
ejpam-2317	311	15	)	)	PUNCT
ejpam-2317	311	16	,	,	PUNCT
ejpam-2317	311	17	we	we	PRON
ejpam-2317	311	18	denote	denote	VERB
ejpam-2317	311	19	by	by	ADP
ejpam-2317	311	20	e{u	e{u	PROPN
ejpam-2317	311	21	j	j	NOUN
ejpam-2317	311	22	}	}	PUNCT
ejpam-2317	311	23	the	the	DET
ejpam-2317	311	24	envelope	envelope	NOUN
ejpam-2317	311	25	of	of	ADP
ejpam-2317	311	26	inf{u	inf{u	PROPN
ejpam-2317	311	27	j	j	NOUN
ejpam-2317	311	28	}	}	PUNCT
ejpam-2317	311	29	.	.	PUNCT
ejpam-2317	312	1	the	the	DET
ejpam-2317	312	2	following	follow	VERB
ejpam-2317	312	3	lemma	lemma	PROPN
ejpam-2317	312	4	[	[	X
ejpam-2317	312	5	4	4	NUM
ejpam-2317	312	6	,	,	PUNCT
ejpam-2317	312	7	theorem	theorem	VERB
ejpam-2317	312	8	3.3	3.3	NUM
ejpam-2317	312	9	]	]	PUNCT
ejpam-2317	312	10	gives	give	VERB
ejpam-2317	312	11	the	the	DET
ejpam-2317	312	12	estimate	estimate	NOUN
ejpam-2317	312	13	on	on	ADP
ejpam-2317	312	14	the	the	DET
ejpam-2317	312	15	monge	monge	PROPN
ejpam-2317	312	16	–	–	PUNCT
ejpam-2317	312	17	ampère	ampère	NOUN
ejpam-2317	312	18	mass	mass	NOUN
ejpam-2317	312	19	of	of	ADP
ejpam-2317	312	20	the	the	DET
ejpam-2317	312	21	envelope	envelope	NOUN
ejpam-2317	312	22	.	.	PUNCT
ejpam-2317	313	1	lemma	lemma	PROPN
ejpam-2317	313	2	2	2	X
ejpam-2317	313	3	.	.	PUNCT
ejpam-2317	314	1	if	if	SCONJ
ejpam-2317	314	2	ω	ω	PROPN
ejpam-2317	314	3	is	be	AUX
ejpam-2317	314	4	a	a	DET
ejpam-2317	314	5	strongly	strongly	ADV
ejpam-2317	314	6	hyperconvex	hyperconvex	ADJ
ejpam-2317	314	7	domain	domain	NOUN
ejpam-2317	314	8	and	and	CCONJ
ejpam-2317	314	9	continuous	continuous	ADJ
ejpam-2317	314	10	plurisubharmonic	plurisubharmonic	ADJ
ejpam-2317	314	11	functions	function	NOUN
ejpam-2317	314	12	{	{	PUNCT
ejpam-2317	314	13	u	u	NOUN
ejpam-2317	314	14	j	j	PROPN
ejpam-2317	314	15	}	}	PUNCT
ejpam-2317	314	16	⊂	⊂	PROPN
ejpam-2317	314	17	e	e	X
ejpam-2317	314	18	(	(	PUNCT
ejpam-2317	314	19	ω	ω	NOUN
ejpam-2317	314	20	)	)	PUNCT
ejpam-2317	314	21	,	,	PUNCT
ejpam-2317	314	22	then	then	ADV
ejpam-2317	314	23	∫	∫	PROPN
ejpam-2317	314	24	ω	ω	PROPN
ejpam-2317	314	25	(	(	PUNCT
ejpam-2317	314	26	dd	dd	NOUN
ejpam-2317	314	27	c	c	PROPN
ejpam-2317	314	28	e{u	e{u	PROPN
ejpam-2317	314	29	j	j	NOUN
ejpam-2317	314	30	}	}	PUNCT
ejpam-2317	314	31	)	)	PUNCT
ejpam-2317	315	1	n	n	CCONJ
ejpam-2317	315	2	≤	≤	NOUN
ejpam-2317	315	3	∑	∑	PUNCT
ejpam-2317	315	4	∫	∫	PROPN
ejpam-2317	315	5	ω	ω	PROPN
ejpam-2317	315	6	(	(	PUNCT
ejpam-2317	315	7	dd	dd	PROPN
ejpam-2317	315	8	cu	cu	PROPN
ejpam-2317	315	9	j	j	PROPN
ejpam-2317	315	10	)	)	PUNCT
ejpam-2317	315	11	n.	n.	PROPN
ejpam-2317	315	12	theorem	theorem	VERB
ejpam-2317	315	13	13	13	NUM
ejpam-2317	315	14	.	.	PUNCT
ejpam-2317	316	1	let	let	AUX
ejpam-2317	316	2	f	f	PRON
ejpam-2317	316	3	be	be	AUX
ejpam-2317	316	4	a	a	DET
ejpam-2317	316	5	holomorphic	holomorphic	ADJ
ejpam-2317	316	6	function	function	NOUN
ejpam-2317	316	7	on	on	ADP
ejpam-2317	316	8	d2	d2	PROPN
ejpam-2317	316	9	.	.	PUNCT
ejpam-2317	316	10	suppose	suppose	VERB
ejpam-2317	316	11	that	that	SCONJ
ejpam-2317	316	12	f	f	PROPN
ejpam-2317	316	13	has	have	VERB
ejpam-2317	316	14	non	non	ADJ
ejpam-2317	316	15	-	-	ADJ
ejpam-2317	316	16	tangential	tangential	ADJ
ejpam-2317	316	17	limits	limit	NOUN
ejpam-2317	316	18	at	at	ADP
ejpam-2317	316	19	points	point	NOUN
ejpam-2317	316	20	{	{	PUNCT
ejpam-2317	316	21	ζ	ζ	NOUN
ejpam-2317	316	22	j	j	PROPN
ejpam-2317	316	23	}	}	PUNCT
ejpam-2317	316	24	⊂	⊂	PROPN
ejpam-2317	316	25	t	t	PROPN
ejpam-2317	316	26	2	2	NUM
ejpam-2317	316	27	and	and	CCONJ
ejpam-2317	316	28	lim	lim	PROPN
ejpam-2317	317	1	j→∞	j→∞	NOUN
ejpam-2317	317	2	|	|	ADV
ejpam-2317	317	3	f	f	PROPN
ejpam-2317	317	4	∗(ζ	∗(ζ	PROPN
ejpam-2317	317	5	j)|=∞.	j)|=∞.	VERB
ejpam-2317	317	6	then	then	ADV
ejpam-2317	317	7	for	for	ADP
ejpam-2317	317	8	any	any	DET
ejpam-2317	317	9	p	p	PRON
ejpam-2317	317	10	≥	≥	NUM
ejpam-2317	317	11	1	1	NUM
ejpam-2317	317	12	there	there	ADV
ejpam-2317	317	13	exists	exist	VERB
ejpam-2317	317	14	u	u	PROPN
ejpam-2317	317	15	∈	∈	PROPN
ejpam-2317	317	16	e1(d	e1(d	NUM
ejpam-2317	317	17	2	2	NUM
ejpam-2317	317	18	)	)	PUNCT
ejpam-2317	318	1	such	such	ADJ
ejpam-2317	318	2	that	that	SCONJ
ejpam-2317	318	3	f	f	PROPN
ejpam-2317	318	4	/∈	/∈	PUNCT
ejpam-2317	318	5	h	h	NOUN
ejpam-2317	319	1	p	p	X
ejpam-2317	319	2	u	u	X
ejpam-2317	319	3	(	(	PUNCT
ejpam-2317	319	4	d	d	PROPN
ejpam-2317	319	5	2	2	NUM
ejpam-2317	319	6	)	)	PUNCT
ejpam-2317	319	7	.	.	PUNCT
ejpam-2317	320	1	the	the	DET
ejpam-2317	320	2	proof	proof	NOUN
ejpam-2317	320	3	that	that	PRON
ejpam-2317	320	4	poletsky	poletsky	ADV
ejpam-2317	320	5	gave	give	VERB
ejpam-2317	320	6	to	to	ADP
ejpam-2317	320	7	this	this	DET
ejpam-2317	320	8	theorem	theorem	NOUN
ejpam-2317	320	9	in	in	ADP
ejpam-2317	320	10	[	[	X
ejpam-2317	320	11	4	4	X
ejpam-2317	320	12	]	]	PUNCT
ejpam-2317	320	13	in	in	ADP
ejpam-2317	320	14	the	the	DET
ejpam-2317	320	15	case	case	NOUN
ejpam-2317	320	16	when	when	SCONJ
ejpam-2317	320	17	d	d	NOUN
ejpam-2317	320	18	is	be	AUX
ejpam-2317	320	19	a	a	DET
ejpam-2317	320	20	strongly	strongly	ADV
ejpam-2317	320	21	pseudoconvex	pseudoconvex	NOUN
ejpam-2317	320	22	domain	domain	NOUN
ejpam-2317	320	23	with	with	ADP
ejpam-2317	320	24	c2	c2	PROPN
ejpam-2317	320	25	boundary	boundary	PROPN
ejpam-2317	320	26	also	also	ADV
ejpam-2317	320	27	works	work	VERB
ejpam-2317	320	28	when	when	SCONJ
ejpam-2317	320	29	the	the	DET
ejpam-2317	320	30	domain	domain	NOUN
ejpam-2317	320	31	is	be	AUX
ejpam-2317	320	32	a	a	DET
ejpam-2317	320	33	polydisk	polydisk	NOUN
ejpam-2317	320	34	.	.	PUNCT
ejpam-2317	321	1	we	we	PRON
ejpam-2317	321	2	will	will	AUX
ejpam-2317	321	3	mimic	mimic	VERB
ejpam-2317	321	4	his	his	PRON
ejpam-2317	321	5	proof	proof	NOUN
ejpam-2317	321	6	in	in	ADP
ejpam-2317	321	7	our	our	PRON
ejpam-2317	321	8	context	context	NOUN
ejpam-2317	321	9	.	.	PUNCT
ejpam-2317	322	1	proof	proof	NOUN
ejpam-2317	322	2	.	.	PUNCT
ejpam-2317	323	1	let	let	VERB
ejpam-2317	323	2	us	we	PRON
ejpam-2317	323	3	take	take	VERB
ejpam-2317	323	4	a	a	DET
ejpam-2317	323	5	sequence	sequence	NOUN
ejpam-2317	323	6	{	{	PUNCT
ejpam-2317	323	7	a	a	DET
ejpam-2317	323	8	j	j	NOUN
ejpam-2317	323	9	}	}	PUNCT
ejpam-2317	323	10	of	of	ADP
ejpam-2317	323	11	positive	positive	ADJ
ejpam-2317	323	12	numbers	number	NOUN
ejpam-2317	323	13	such	such	ADJ
ejpam-2317	323	14	that	that	SCONJ
ejpam-2317	323	15	∞	∞	PROPN
ejpam-2317	323	16	∑	∑	PROPN
ejpam-2317	323	17	j=1	j=1	PROPN
ejpam-2317	323	18	a	a	DET
ejpam-2317	323	19	j	j	PROPN
ejpam-2317	323	20	<	<	X
ejpam-2317	323	21	∞	∞	PROPN
ejpam-2317	323	22	and	and	CCONJ
ejpam-2317	323	23	∞	∞	NUM
ejpam-2317	323	24	∑	∑	PROPN
ejpam-2317	323	25	j=1	j=1	PROPN
ejpam-2317	323	26	a2	a2	PROPN
ejpam-2317	324	1	j	j	PROPN
ejpam-2317	325	1	|	|	ADV
ejpam-2317	325	2	f	f	PROPN
ejpam-2317	325	3	∗(ζ	∗(ζ	PROPN
ejpam-2317	325	4	j)|	j)|	NOUN
ejpam-2317	325	5	p	p	NOUN
ejpam-2317	326	1	=	=	PROPN
ejpam-2317	326	2	∞.	∞.	PROPN
ejpam-2317	326	3	k.	k.	PROPN
ejpam-2317	326	4	shrestha	shrestha	PROPN
ejpam-2317	326	5	/	/	SYM
ejpam-2317	326	6	eur	eur	PROPN
ejpam-2317	326	7	.	.	PUNCT
ejpam-2317	327	1	j.	j.	PROPN
ejpam-2317	327	2	pure	pure	PROPN
ejpam-2317	327	3	appl	appl	PROPN
ejpam-2317	327	4	.	.	PROPN
ejpam-2317	327	5	math	math	PROPN
ejpam-2317	327	6	,	,	PUNCT
ejpam-2317	327	7	9	9	NUM
ejpam-2317	327	8	(	(	PUNCT
ejpam-2317	327	9	2016	2016	NUM
ejpam-2317	327	10	)	)	PUNCT
ejpam-2317	327	11	,	,	PUNCT
ejpam-2317	327	12	292	292	NUM
ejpam-2317	327	13	-	-	SYM
ejpam-2317	327	14	304	304	NUM
ejpam-2317	327	15	302	302	NUM
ejpam-2317	327	16	for	for	ADP
ejpam-2317	327	17	0	0	NUM
ejpam-2317	327	18	<	<	X
ejpam-2317	327	19	t	t	X
ejpam-2317	327	20	j	j	X
ejpam-2317	327	21	<	<	X
ejpam-2317	327	22	1	1	NUM
ejpam-2317	327	23	we	we	PRON
ejpam-2317	327	24	write	write	VERB
ejpam-2317	327	25	g	g	PROPN
ejpam-2317	327	26	j	j	PROPN
ejpam-2317	327	27	=	=	PROPN
ejpam-2317	327	28	g(t	g(t	PROPN
ejpam-2317	327	29	jζ	jζ	PROPN
ejpam-2317	327	30	j	j	PROPN
ejpam-2317	327	31	,	,	PUNCT
ejpam-2317	327	32	e−1	e−1	PROPN
ejpam-2317	327	33	)	)	PUNCT
ejpam-2317	327	34	.	.	PUNCT
ejpam-2317	328	1	by	by	ADP
ejpam-2317	328	2	lemma	lemma	PROPN
ejpam-2317	328	3	1	1	NUM
ejpam-2317	328	4	there	there	ADV
ejpam-2317	328	5	exists	exist	VERB
ejpam-2317	328	6	0	0	PUNCT
ejpam-2317	328	7	<	<	X
ejpam-2317	328	8	α	α	X
ejpam-2317	328	9	j	j	X
ejpam-2317	328	10	<	<	X
ejpam-2317	328	11	π/2	π/2	NUM
ejpam-2317	328	12	such	such	ADJ
ejpam-2317	328	13	that	that	SCONJ
ejpam-2317	328	14	g	g	PROPN
ejpam-2317	328	15	j	j	PROPN
ejpam-2317	329	1	⊂	⊂	PROPN
ejpam-2317	329	2	tα	tα	PROPN
ejpam-2317	329	3	j	j	PROPN
ejpam-2317	329	4	(	(	PUNCT
ejpam-2317	329	5	ζ	ζ	PROPN
ejpam-2317	329	6	j	j	PROPN
ejpam-2317	329	7	)	)	PUNCT
ejpam-2317	329	8	.	.	PUNCT
ejpam-2317	330	1	now	now	ADV
ejpam-2317	330	2	we	we	PRON
ejpam-2317	330	3	inductively	inductively	ADV
ejpam-2317	330	4	construct	construct	VERB
ejpam-2317	330	5	a	a	DET
ejpam-2317	330	6	sequence	sequence	NOUN
ejpam-2317	330	7	{	{	PUNCT
ejpam-2317	330	8	tk	tk	PROPN
ejpam-2317	330	9	}	}	PUNCT
ejpam-2317	330	10	,	,	PUNCT
ejpam-2317	330	11	0	0	PUNCT
ejpam-2317	330	12	<	<	X
ejpam-2317	330	13	tk	tk	X
ejpam-2317	330	14	<	<	X
ejpam-2317	330	15	1	1	NUM
ejpam-2317	330	16	,	,	PUNCT
ejpam-2317	330	17	satisfying	satisfy	VERB
ejpam-2317	330	18	certain	certain	ADJ
ejpam-2317	330	19	conditions	condition	NOUN
ejpam-2317	330	20	.	.	PUNCT
ejpam-2317	331	1	choose	choose	VERB
ejpam-2317	331	2	any	any	DET
ejpam-2317	331	3	0	0	NUM
ejpam-2317	331	4	<	<	X
ejpam-2317	331	5	t1	t1	NOUN
ejpam-2317	331	6	<	<	X
ejpam-2317	331	7	1	1	NUM
ejpam-2317	331	8	.	.	PUNCT
ejpam-2317	331	9	suppose	suppose	VERB
ejpam-2317	331	10	that	that	SCONJ
ejpam-2317	331	11	t1	t1	PROPN
ejpam-2317	331	12	,	,	PUNCT
ejpam-2317	331	13	.	.	PUNCT
ejpam-2317	331	14	.	.	PUNCT
ejpam-2317	332	1	.	.	PUNCT
ejpam-2317	333	1	,	,	PUNCT
ejpam-2317	333	2	tk−1	tk−1	PROPN
ejpam-2317	333	3	have	have	AUX
ejpam-2317	333	4	already	already	ADV
ejpam-2317	333	5	been	be	AUX
ejpam-2317	333	6	chosen	choose	VERB
ejpam-2317	333	7	.	.	PUNCT
ejpam-2317	334	1	now	now	ADV
ejpam-2317	334	2	chose	choose	VERB
ejpam-2317	334	3	0	0	NUM
ejpam-2317	334	4	<	<	X
ejpam-2317	334	5	tk	tk	X
ejpam-2317	334	6	<	<	X
ejpam-2317	334	7	1	1	NUM
ejpam-2317	334	8	so	so	SCONJ
ejpam-2317	334	9	that	that	SCONJ
ejpam-2317	334	10	the	the	DET
ejpam-2317	334	11	following	follow	VERB
ejpam-2317	334	12	conditions	condition	NOUN
ejpam-2317	334	13	are	be	AUX
ejpam-2317	334	14	satisfied	satisfied	ADJ
ejpam-2317	334	15	:	:	PUNCT
ejpam-2317	334	16	(	(	PUNCT
ejpam-2317	334	17	i	i	NOUN
ejpam-2317	334	18	)	)	PUNCT
ejpam-2317	335	1	|	|	ADV
ejpam-2317	335	2	f	f	PROPN
ejpam-2317	336	1	|	|	ADV
ejpam-2317	336	2	>	>	X
ejpam-2317	337	1	|	|	NOUN
ejpam-2317	337	2	f	f	PROPN
ejpam-2317	337	3	∗(ζk)|/2	∗(ζk)|/2	NOUN
ejpam-2317	337	4	on	on	ADP
ejpam-2317	337	5	gk	gk	PROPN
ejpam-2317	337	6	(	(	PUNCT
ejpam-2317	337	7	ii	ii	PROPN
ejpam-2317	337	8	)	)	PUNCT
ejpam-2317	337	9	gk	gk	PROPN
ejpam-2317	337	10	∩	∩	PROPN
ejpam-2317	337	11	g	g	PROPN
ejpam-2317	337	12	j	j	PROPN
ejpam-2317	337	13	=	=	SYM
ejpam-2317	337	14	φ	φ	PROPN
ejpam-2317	337	15	(	(	PUNCT
ejpam-2317	337	16	iii	iii	NOUN
ejpam-2317	337	17	)	)	PUNCT
ejpam-2317	337	18	g(z	g(z	PROPN
ejpam-2317	337	19	,	,	PUNCT
ejpam-2317	337	20	tkζk	tkζk	INTJ
ejpam-2317	337	21	)	)	PUNCT
ejpam-2317	337	22	>	>	X
ejpam-2317	337	23	−a	−a	NOUN
ejpam-2317	337	24	j/2	j/2	PUNCT
ejpam-2317	337	25	k+1	k+1	X
ejpam-2317	337	26	on	on	ADP
ejpam-2317	337	27	g	g	PROPN
ejpam-2317	337	28	j	j	PROPN
ejpam-2317	337	29	(	(	PUNCT
ejpam-2317	337	30	iv	iv	PROPN
ejpam-2317	337	31	)	)	PUNCT
ejpam-2317	337	32	a	a	DET
ejpam-2317	337	33	j	j	PROPN
ejpam-2317	337	34	g(z	g(z	PROPN
ejpam-2317	337	35	,	,	PUNCT
ejpam-2317	337	36	t	t	PROPN
ejpam-2317	337	37	jζ	jζ	ADV
ejpam-2317	337	38	j	j	PROPN
ejpam-2317	337	39	)	)	PUNCT
ejpam-2317	337	40	>	>	X
ejpam-2317	337	41	−ak/2	−ak/2	PROPN
ejpam-2317	338	1	j+1	j+1	PROPN
ejpam-2317	338	2	on	on	ADP
ejpam-2317	338	3	gk	gk	PROPN
ejpam-2317	338	4	for	for	ADP
ejpam-2317	338	5	1≤	1≤	NUM
ejpam-2317	338	6	j	j	PROPN
ejpam-2317	338	7	≤	≤	PROPN
ejpam-2317	338	8	k−1	k−1	PROPN
ejpam-2317	338	9	.	.	PUNCT
ejpam-2317	339	1	the	the	DET
ejpam-2317	339	2	conditions	condition	NOUN
ejpam-2317	339	3	(	(	PUNCT
ejpam-2317	339	4	i	i	NOUN
ejpam-2317	339	5	)	)	PUNCT
ejpam-2317	339	6	and	and	CCONJ
ejpam-2317	339	7	(	(	PUNCT
ejpam-2317	339	8	ii	ii	NOUN
ejpam-2317	339	9	)	)	PUNCT
ejpam-2317	339	10	can	can	AUX
ejpam-2317	339	11	be	be	AUX
ejpam-2317	339	12	achieved	achieve	VERB
ejpam-2317	339	13	simply	simply	ADV
ejpam-2317	339	14	by	by	ADP
ejpam-2317	339	15	taking	take	VERB
ejpam-2317	339	16	tk	tk	PROPN
ejpam-2317	339	17	close	close	ADJ
ejpam-2317	339	18	enough	enough	ADV
ejpam-2317	339	19	to	to	PART
ejpam-2317	339	20	1	1	NUM
ejpam-2317	339	21	.	.	PUNCT
ejpam-2317	340	1	since	since	SCONJ
ejpam-2317	340	2	g	g	PROPN
ejpam-2317	340	3	j	j	PROPN
ejpam-2317	340	4	,	,	PUNCT
ejpam-2317	340	5	j	j	PROPN
ejpam-2317	340	6	<	<	X
ejpam-2317	340	7	k	k	X
ejpam-2317	340	8	,	,	PUNCT
ejpam-2317	340	9	and	and	CCONJ
ejpam-2317	340	10	gk	gk	PROPN
ejpam-2317	340	11	are	be	AUX
ejpam-2317	340	12	disjoint	disjoint	NOUN
ejpam-2317	340	13	,	,	PUNCT
ejpam-2317	340	14	g(z	g(z	PROPN
ejpam-2317	340	15	,	,	PUNCT
ejpam-2317	340	16	tkζk)→	tkζk)→	ADV
ejpam-2317	340	17	0	0	NUM
ejpam-2317	340	18	uniformly	uniformly	ADV
ejpam-2317	340	19	on	on	ADP
ejpam-2317	340	20	g	g	PROPN
ejpam-2317	340	21	j	j	PROPN
ejpam-2317	340	22	as	as	ADP
ejpam-2317	340	23	tk	tk	PROPN
ejpam-2317	340	24	→	→	SYM
ejpam-2317	340	25	1	1	NUM
ejpam-2317	340	26	.	.	PUNCT
ejpam-2317	341	1	hence	hence	ADV
ejpam-2317	341	2	(	(	PUNCT
ejpam-2317	341	3	iii	iii	X
ejpam-2317	341	4	)	)	PUNCT
ejpam-2317	341	5	can	can	AUX
ejpam-2317	341	6	be	be	AUX
ejpam-2317	341	7	achieved	achieve	VERB
ejpam-2317	341	8	for	for	ADP
ejpam-2317	341	9	tk	tk	PROPN
ejpam-2317	341	10	close	close	ADJ
ejpam-2317	341	11	enough	enough	ADV
ejpam-2317	341	12	to	to	PART
ejpam-2317	341	13	1	1	NUM
ejpam-2317	341	14	.	.	PUNCT
ejpam-2317	342	1	since	since	SCONJ
ejpam-2317	342	2	g(z	g(z	PROPN
ejpam-2317	342	3	,	,	PUNCT
ejpam-2317	342	4	t	t	PROPN
ejpam-2317	342	5	jζ	jζ	ADV
ejpam-2317	342	6	j	j	NOUN
ejpam-2317	342	7	)	)	PUNCT
ejpam-2317	343	1	=	=	PUNCT
ejpam-2317	343	2	0	0	PUNCT
ejpam-2317	343	3	when	when	SCONJ
ejpam-2317	343	4	z	z	PROPN
ejpam-2317	343	5	∈	∈	PROPN
ejpam-2317	343	6	∂d2	∂d2	PROPN
ejpam-2317	343	7	,	,	PUNCT
ejpam-2317	343	8	we	we	PRON
ejpam-2317	343	9	can	can	AUX
ejpam-2317	343	10	choose	choose	VERB
ejpam-2317	343	11	tk	tk	PROPN
ejpam-2317	343	12	so	so	ADV
ejpam-2317	343	13	close	close	ADV
ejpam-2317	343	14	to	to	ADP
ejpam-2317	343	15	1	1	NUM
ejpam-2317	344	1	that	that	PRON
ejpam-2317	345	1	gk	gk	PROPN
ejpam-2317	345	2	⊂	⊂	PROPN
ejpam-2317	345	3	k−1	k−1	PROPN
ejpam-2317	345	4	⋂	⋂	PROPN
ejpam-2317	345	5	j=1	j=1	PROPN
ejpam-2317	345	6	�	�	PROPN
ejpam-2317	345	7	z	z	PROPN
ejpam-2317	345	8	∈	∈	PROPN
ejpam-2317	345	9	d2	d2	PROPN
ejpam-2317	345	10	:	:	PUNCT
ejpam-2317	345	11	a	a	DET
ejpam-2317	345	12	j	j	PROPN
ejpam-2317	345	13	g(z	g(z	PROPN
ejpam-2317	345	14	,	,	PUNCT
ejpam-2317	345	15	t	t	PROPN
ejpam-2317	345	16	jζ	jζ	ADV
ejpam-2317	345	17	j	j	PROPN
ejpam-2317	345	18	)	)	PUNCT
ejpam-2317	345	19	>	>	X
ejpam-2317	345	20	−ak/2	−ak/2	PROPN
ejpam-2317	345	21	j+1	j+1	PROPN
ejpam-2317	345	22	.	.	PUNCT
ejpam-2317	346	1	thus	thus	ADV
ejpam-2317	346	2	(	(	PUNCT
ejpam-2317	346	3	iv	iv	X
ejpam-2317	346	4	)	)	PUNCT
ejpam-2317	346	5	can	can	AUX
ejpam-2317	346	6	be	be	AUX
ejpam-2317	346	7	achieved	achieve	VERB
ejpam-2317	346	8	.	.	PUNCT
ejpam-2317	347	1	define	define	VERB
ejpam-2317	347	2	u	u	NOUN
ejpam-2317	347	3	j(z	j(z	PROPN
ejpam-2317	347	4	)	)	PUNCT
ejpam-2317	347	5	=	=	PUNCT
ejpam-2317	348	1	a	a	DET
ejpam-2317	348	2	j	j	PROPN
ejpam-2317	348	3	max{g(z	max{g(z	PROPN
ejpam-2317	348	4	,	,	PUNCT
ejpam-2317	348	5	t	t	PROPN
ejpam-2317	348	6	jζ	jζ	ADV
ejpam-2317	348	7	j),−2	j),−2	NUM
ejpam-2317	348	8	}	}	PUNCT
ejpam-2317	348	9	.	.	PUNCT
ejpam-2317	349	1	note	note	VERB
ejpam-2317	349	2	that	that	SCONJ
ejpam-2317	349	3	if	if	SCONJ
ejpam-2317	349	4	f	f	PROPN
ejpam-2317	349	5	is	be	AUX
ejpam-2317	349	6	an	an	DET
ejpam-2317	349	7	open	open	ADJ
ejpam-2317	349	8	set	set	NOUN
ejpam-2317	349	9	in	in	ADP
ejpam-2317	349	10	d2	d2	PROPN
ejpam-2317	349	11	containing	contain	VERB
ejpam-2317	349	12	g(t	g(t	PROPN
ejpam-2317	349	13	jζ	jζ	ADP
ejpam-2317	349	14	j	j	PROPN
ejpam-2317	349	15	,	,	PUNCT
ejpam-2317	349	16	e−2	e−2	PROPN
ejpam-2317	349	17	)	)	PUNCT
ejpam-2317	349	18	then	then	ADV
ejpam-2317	349	19	∫	∫	PROPN
ejpam-2317	349	20	f	f	PROPN
ejpam-2317	349	21	(	(	PUNCT
ejpam-2317	349	22	dd	dd	VERB
ejpam-2317	349	23	cu	cu	PROPN
ejpam-2317	349	24	j	j	PROPN
ejpam-2317	349	25	)	)	PUNCT
ejpam-2317	349	26	2	2	NUM
ejpam-2317	349	27	=	=	SYM
ejpam-2317	349	28	a2	a2	PROPN
ejpam-2317	349	29	j	j	PROPN
ejpam-2317	349	30	.	.	PUNCT
ejpam-2317	350	1	let	let	VERB
ejpam-2317	350	2	u	u	PRON
ejpam-2317	350	3	=	=	PUNCT
ejpam-2317	350	4	e{u	e{u	PROPN
ejpam-2317	350	5	j	j	NOUN
ejpam-2317	350	6	}	}	PUNCT
ejpam-2317	350	7	.	.	PUNCT
ejpam-2317	351	1	since	since	SCONJ
ejpam-2317	351	2	the	the	DET
ejpam-2317	351	3	series	series	NOUN
ejpam-2317	351	4	v	v	NOUN
ejpam-2317	351	5	=	=	SYM
ejpam-2317	351	6	∑∞	∑∞	NOUN
ejpam-2317	351	7	j=1	j=1	NOUN
ejpam-2317	351	8	u	u	NOUN
ejpam-2317	351	9	j	j	PROPN
ejpam-2317	351	10	converges	converge	VERB
ejpam-2317	351	11	uniformly	uniformly	ADV
ejpam-2317	351	12	on	on	ADP
ejpam-2317	351	13	d2	d2	PROPN
ejpam-2317	351	14	,	,	PUNCT
ejpam-2317	351	15	v	v	NOUN
ejpam-2317	351	16	∈	∈	NOUN
ejpam-2317	351	17	e	e	X
ejpam-2317	351	18	(	(	PUNCT
ejpam-2317	351	19	d2	d2	PROPN
ejpam-2317	351	20	)	)	PUNCT
ejpam-2317	351	21	.	.	PUNCT
ejpam-2317	352	1	so	so	ADV
ejpam-2317	352	2	u	u	PRON
ejpam-2317	352	3	≥	≥	NOUN
ejpam-2317	352	4	v	v	NOUN
ejpam-2317	352	5	is	be	AUX
ejpam-2317	352	6	a	a	DET
ejpam-2317	352	7	continuous	continuous	ADJ
ejpam-2317	352	8	plurisubharmonic	plurisubharmonic	ADJ
ejpam-2317	352	9	function	function	NOUN
ejpam-2317	352	10	on	on	ADP
ejpam-2317	352	11	d2	d2	PROPN
ejpam-2317	352	12	equal	equal	ADJ
ejpam-2317	352	13	to	to	ADP
ejpam-2317	352	14	0	0	NUM
ejpam-2317	352	15	on	on	ADP
ejpam-2317	352	16	∂d2	∂d2	PROPN
ejpam-2317	352	17	.	.	PUNCT
ejpam-2317	352	18	by	by	ADP
ejpam-2317	352	19	lemma	lemma	PROPN
ejpam-2317	352	20	2	2	NUM
ejpam-2317	352	21	,	,	PUNCT
ejpam-2317	352	22	∫	∫	PROPN
ejpam-2317	352	23	d2	d2	PROPN
ejpam-2317	352	24	(	(	PUNCT
ejpam-2317	352	25	dd	dd	INTJ
ejpam-2317	352	26	cu)2	cu)2	NOUN
ejpam-2317	352	27	≤	≤	NUM
ejpam-2317	352	28	∞	∞	NUM
ejpam-2317	352	29	∑	∑	PROPN
ejpam-2317	352	30	j=1	j=1	PROPN
ejpam-2317	352	31	∫	∫	PROPN
ejpam-2317	352	32	d2	d2	PROPN
ejpam-2317	352	33	(	(	PUNCT
ejpam-2317	352	34	dd	dd	PROPN
ejpam-2317	352	35	cu	cu	PROPN
ejpam-2317	352	36	j	j	PROPN
ejpam-2317	352	37	)	)	PUNCT
ejpam-2317	352	38	2	2	NUM
ejpam-2317	352	39	=	=	SYM
ejpam-2317	352	40	∞	∞	NUM
ejpam-2317	352	41	∑	∑	PROPN
ejpam-2317	352	42	j=1	j=1	PROPN
ejpam-2317	352	43	a2	a2	PROPN
ejpam-2317	352	44	j	j	PROPN
ejpam-2317	353	1	<	<	X
ejpam-2317	353	2	∞.	∞.	PROPN
ejpam-2317	353	3	hence	hence	ADV
ejpam-2317	353	4	u	u	NOUN
ejpam-2317	353	5	∈	∈	PROPN
ejpam-2317	353	6	e	e	X
ejpam-2317	353	7	(	(	PUNCT
ejpam-2317	353	8	d2	d2	PROPN
ejpam-2317	353	9	)	)	PUNCT
ejpam-2317	353	10	.	.	PUNCT
ejpam-2317	354	1	now	now	ADV
ejpam-2317	354	2	we	we	PRON
ejpam-2317	354	3	evaluate	evaluate	VERB
ejpam-2317	354	4	∫	∫	PROPN
ejpam-2317	354	5	gk	gk	PROPN
ejpam-2317	354	6	(	(	PUNCT
ejpam-2317	354	7	dd	dd	PROPN
ejpam-2317	354	8	cu)2	cu)2	PROPN
ejpam-2317	354	9	.	.	PUNCT
ejpam-2317	355	1	observe	observe	VERB
ejpam-2317	355	2	that	that	SCONJ
ejpam-2317	355	3	uk	uk	PROPN
ejpam-2317	355	4	≥	≥	PRON
ejpam-2317	355	5	u	u	PROPN
ejpam-2317	355	6	≥	≥	X
ejpam-2317	355	7	v	v	NOUN
ejpam-2317	355	8	on	on	ADP
ejpam-2317	355	9	d2	d2	PROPN
ejpam-2317	355	10	.	.	PUNCT
ejpam-2317	356	1	by	by	ADP
ejpam-2317	356	2	the	the	DET
ejpam-2317	356	3	conditions	condition	NOUN
ejpam-2317	356	4	on	on	ADP
ejpam-2317	356	5	the	the	DET
ejpam-2317	356	6	choices	choice	NOUN
ejpam-2317	356	7	of	of	ADP
ejpam-2317	356	8	t	t	PROPN
ejpam-2317	356	9	j	j	PROPN
ejpam-2317	356	10	,	,	PUNCT
ejpam-2317	356	11	on	on	ADP
ejpam-2317	356	12	∂	∂	NUM
ejpam-2317	356	13	gk	gk	NOUN
ejpam-2317	356	14	we	we	PRON
ejpam-2317	356	15	get	get	VERB
ejpam-2317	356	16	−ak	−ak	NOUN
ejpam-2317	356	17	≥	≥	NOUN
ejpam-2317	356	18	u≥	u≥	PROPN
ejpam-2317	356	19	−	−	PROPN
ejpam-2317	356	20	k−1	k−1	PROPN
ejpam-2317	356	21	∑	∑	PROPN
ejpam-2317	356	22	j=1	j=1	PROPN
ejpam-2317	356	23	ak	ak	PROPN
ejpam-2317	356	24	2	2	NUM
ejpam-2317	356	25	j+1	j+1	NUM
ejpam-2317	356	26	−	−	PROPN
ejpam-2317	356	27	ak	ak	NOUN
ejpam-2317	356	28	−	−	PROPN
ejpam-2317	356	29	∞	∞	PROPN
ejpam-2317	356	30	∑	∑	PROPN
ejpam-2317	356	31	j	j	PROPN
ejpam-2317	356	32	=	=	PROPN
ejpam-2317	356	33	k+1	k+1	X
ejpam-2317	356	34	ak	ak	PROPN
ejpam-2317	356	35	2	2	NUM
ejpam-2317	356	36	j+1	j+1	NUM
ejpam-2317	356	37	≥	≥	NOUN
ejpam-2317	356	38	−	−	NOUN
ejpam-2317	356	39	3	3	NUM
ejpam-2317	356	40	2	2	NUM
ejpam-2317	356	41	ak	ak	PROPN
ejpam-2317	356	42	.	.	PROPN
ejpam-2317	357	1	hence	hence	ADV
ejpam-2317	357	2	u	u	NOUN
ejpam-2317	357	3	+	+	PROPN
ejpam-2317	357	4	3ak/2	3ak/2	ADJ
ejpam-2317	357	5	≥	≥	NOUN
ejpam-2317	357	6	0	0	NUM
ejpam-2317	357	7	on	on	ADP
ejpam-2317	357	8	∂	∂	NUM
ejpam-2317	357	9	gk	gk	NOUN
ejpam-2317	357	10	and	and	CCONJ
ejpam-2317	357	11	the	the	DET
ejpam-2317	357	12	set	set	NOUN
ejpam-2317	357	13	fk	fk	INTJ
ejpam-2317	357	14	=	=	SYM
ejpam-2317	357	15	{	{	PUNCT
ejpam-2317	357	16	6(u	6(u	NUM
ejpam-2317	357	17	+	+	NUM
ejpam-2317	357	18	3	3	NUM
ejpam-2317	357	19	2	2	NUM
ejpam-2317	357	20	ak	ak	NOUN
ejpam-2317	357	21	)	)	PUNCT
ejpam-2317	357	22	<	<	X
ejpam-2317	357	23	uk	uk	PROPN
ejpam-2317	357	24	}	}	PUNCT
ejpam-2317	357	25	compactly	compactly	ADV
ejpam-2317	357	26	belongs	belong	VERB
ejpam-2317	357	27	to	to	ADP
ejpam-2317	357	28	gk	gk	PROPN
ejpam-2317	357	29	.	.	PUNCT
ejpam-2317	358	1	moreover	moreover	ADV
ejpam-2317	358	2	,	,	PUNCT
ejpam-2317	358	3	if	if	SCONJ
ejpam-2317	358	4	z	z	PROPN
ejpam-2317	358	5	∈	∈	PROPN
ejpam-2317	358	6	∂	∂	NUM
ejpam-2317	358	7	g(tkζk	g(tkζk	NOUN
ejpam-2317	358	8	,	,	PUNCT
ejpam-2317	358	9	e−2	e−2	PROPN
ejpam-2317	358	10	)	)	PUNCT
ejpam-2317	358	11	then	then	ADV
ejpam-2317	358	12	6	6	NUM
ejpam-2317	358	13	�	�	PROPN
ejpam-2317	358	14	u(z	u(z	NOUN
ejpam-2317	358	15	)	)	PUNCT
ejpam-2317	358	16	+	+	CCONJ
ejpam-2317	358	17	3	3	NUM
ejpam-2317	358	18	2	2	NUM
ejpam-2317	358	19	ak	ak	PROPN
ejpam-2317	358	20	�	�	PROPN
ejpam-2317	358	21	≤	≤	PROPN
ejpam-2317	358	22	6	6	NUM
ejpam-2317	358	23	�	�	NOUN
ejpam-2317	358	24	uk(z	uk(z	NUM
ejpam-2317	358	25	)	)	PUNCT
ejpam-2317	359	1	+	+	CCONJ
ejpam-2317	359	2	3	3	NUM
ejpam-2317	359	3	2	2	NUM
ejpam-2317	359	4	ak	ak	PROPN
ejpam-2317	359	5	�	�	PROPN
ejpam-2317	359	6	=	=	PUNCT
ejpam-2317	359	7	−3ak	−3ak	PROPN
ejpam-2317	359	8	<	<	X
ejpam-2317	359	9	−2ak	−2ak	X
ejpam-2317	359	10	=	=	SYM
ejpam-2317	359	11	uk(z	uk(z	NOUN
ejpam-2317	359	12	)	)	PUNCT
ejpam-2317	359	13	.	.	PUNCT
ejpam-2317	360	1	k.	k.	PROPN
ejpam-2317	360	2	shrestha	shrestha	PROPN
ejpam-2317	360	3	/	/	SYM
ejpam-2317	360	4	eur	eur	PROPN
ejpam-2317	360	5	.	.	PUNCT
ejpam-2317	361	1	j.	j.	PROPN
ejpam-2317	361	2	pure	pure	PROPN
ejpam-2317	361	3	appl	appl	PROPN
ejpam-2317	361	4	.	.	PROPN
ejpam-2317	361	5	math	math	PROPN
ejpam-2317	361	6	,	,	PUNCT
ejpam-2317	361	7	9	9	NUM
ejpam-2317	361	8	(	(	PUNCT
ejpam-2317	361	9	2016	2016	NUM
ejpam-2317	361	10	)	)	PUNCT
ejpam-2317	361	11	,	,	PUNCT
ejpam-2317	361	12	292	292	NUM
ejpam-2317	361	13	-	-	SYM
ejpam-2317	361	14	304	304	NUM
ejpam-2317	361	15	303	303	NUM
ejpam-2317	361	16	thus	thus	ADV
ejpam-2317	361	17	g(tkζk	g(tkζk	ADJ
ejpam-2317	361	18	,	,	PUNCT
ejpam-2317	361	19	e−2	e−2	PROPN
ejpam-2317	361	20	)	)	PUNCT
ejpam-2317	361	21	⊂	⊂	PROPN
ejpam-2317	361	22	fk	fk	INTJ
ejpam-2317	361	23	.	.	PUNCT
ejpam-2317	362	1	by	by	ADP
ejpam-2317	362	2	the	the	DET
ejpam-2317	362	3	comparison	comparison	NOUN
ejpam-2317	362	4	principle	principle	NOUN
ejpam-2317	362	5	36	36	NUM
ejpam-2317	362	6	∫	∫	NOUN
ejpam-2317	362	7	gk	gk	PROPN
ejpam-2317	362	8	(	(	PUNCT
ejpam-2317	362	9	dd	dd	INTJ
ejpam-2317	362	10	cu)2	cu)2	NOUN
ejpam-2317	362	11	=	=	SYM
ejpam-2317	363	1	∫	∫	PROPN
ejpam-2317	363	2	gk	gk	PROPN
ejpam-2317	363	3	(	(	PUNCT
ejpam-2317	363	4	dd	dd	PROPN
ejpam-2317	363	5	c6(u(z	c6(u(z	NOUN
ejpam-2317	363	6	)	)	PUNCT
ejpam-2317	363	7	+	+	CCONJ
ejpam-2317	363	8	3	3	NUM
ejpam-2317	363	9	2	2	NUM
ejpam-2317	363	10	ak	ak	NOUN
ejpam-2317	363	11	)	)	PUNCT
ejpam-2317	363	12	)	)	PUNCT
ejpam-2317	363	13	2	2	NUM
ejpam-2317	363	14	≥	≥	NOUN
ejpam-2317	363	15	∫	∫	PROPN
ejpam-2317	364	1	fk	fk	INTJ
ejpam-2317	364	2	(	(	PUNCT
ejpam-2317	364	3	dd	dd	PROPN
ejpam-2317	364	4	cuk	cuk	PROPN
ejpam-2317	364	5	)	)	PUNCT
ejpam-2317	364	6	2	2	NUM
ejpam-2317	364	7	=	=	SYM
ejpam-2317	364	8	a2	a2	PROPN
ejpam-2317	364	9	k	k	PROPN
ejpam-2317	364	10	.	.	PUNCT
ejpam-2317	365	1	hence	hence	ADV
ejpam-2317	365	2	by	by	ADP
ejpam-2317	365	3	lelong	lelong	PROPN
ejpam-2317	365	4	–	–	PUNCT
ejpam-2317	365	5	jensen	jensen	PROPN
ejpam-2317	365	6	formula	formula	NOUN
ejpam-2317	365	7	‖	‖	PROPN
ejpam-2317	365	8	f	f	PROPN
ejpam-2317	365	9	‖p	‖p	PROPN
ejpam-2317	365	10	h	h	NOUN
ejpam-2317	365	11	p	p	PROPN
ejpam-2317	365	12	u	u	PROPN
ejpam-2317	365	13	≥	≥	PROPN
ejpam-2317	365	14	∫	∫	PROPN
ejpam-2317	365	15	d2	d2	PROPN
ejpam-2317	366	1	|	|	PROPN
ejpam-2317	366	2	f	f	PROPN
ejpam-2317	366	3	|p(dd	|p(dd	PROPN
ejpam-2317	366	4	cu)2	cu)2	NOUN
ejpam-2317	366	5	≥	≥	NOUN
ejpam-2317	366	6	∞	∞	NUM
ejpam-2317	366	7	∑	∑	PUNCT
ejpam-2317	367	1	k=1	k=1	PROPN
ejpam-2317	367	2	∫	∫	PROPN
ejpam-2317	368	1	gk	gk	INTJ
ejpam-2317	369	1	|	|	NOUN
ejpam-2317	369	2	f	f	PROPN
ejpam-2317	369	3	|p(dd	|p(dd	PROPN
ejpam-2317	369	4	cu)2	cu)2	NOUN
ejpam-2317	369	5	≥	≥	NOUN
ejpam-2317	369	6	1	1	NUM
ejpam-2317	369	7	36	36	NUM
ejpam-2317	369	8	·	·	PUNCT
ejpam-2317	369	9	2p	2p	NUM
ejpam-2317	369	10	∞	∞	PROPN
ejpam-2317	369	11	∑	∑	PUNCT
ejpam-2317	369	12	k=0	k=0	PROPN
ejpam-2317	370	1	|	|	ADV
ejpam-2317	370	2	f	f	PROPN
ejpam-2317	370	3	∗(ζk)|	∗(ζk)|	PROPN
ejpam-2317	370	4	pa2	pa2	PROPN
ejpam-2317	370	5	k	k	PROPN
ejpam-2317	371	1	=	=	PROPN
ejpam-2317	371	2	∞.	∞.	PROPN
ejpam-2317	371	3	hence	hence	ADV
ejpam-2317	371	4	f	f	PROPN
ejpam-2317	371	5	/∈	/∈	PUNCT
ejpam-2317	372	1	h	h	PROPN
ejpam-2317	372	2	p(d2	p(d2	PROPN
ejpam-2317	372	3	)	)	PUNCT
ejpam-2317	372	4	.	.	PUNCT
ejpam-2317	373	1	the	the	DET
ejpam-2317	373	2	following	follow	VERB
ejpam-2317	373	3	corollary	corollary	NOUN
ejpam-2317	373	4	shows	show	VERB
ejpam-2317	373	5	the	the	DET
ejpam-2317	373	6	existence	existence	NOUN
ejpam-2317	373	7	of	of	ADP
ejpam-2317	373	8	nontrivial	nontrivial	ADJ
ejpam-2317	373	9	poletsky	poletsky	NOUN
ejpam-2317	373	10	–	–	PUNCT
ejpam-2317	373	11	stessin	stessin	VERB
ejpam-2317	373	12	hardy	hardy	ADJ
ejpam-2317	373	13	spaces	space	NOUN
ejpam-2317	373	14	on	on	ADP
ejpam-2317	373	15	the	the	DET
ejpam-2317	373	16	bidisk	bidisk	NOUN
ejpam-2317	373	17	.	.	PUNCT
ejpam-2317	374	1	corollary	corollary	ADJ
ejpam-2317	374	2	2	2	NUM
ejpam-2317	374	3	.	.	PUNCT
ejpam-2317	375	1	for	for	ADP
ejpam-2317	375	2	every	every	DET
ejpam-2317	375	3	p	p	NOUN
ejpam-2317	375	4	≥	≥	NUM
ejpam-2317	375	5	1	1	NUM
ejpam-2317	375	6	there	there	PRON
ejpam-2317	375	7	exists	exist	VERB
ejpam-2317	375	8	a	a	DET
ejpam-2317	375	9	function	function	NOUN
ejpam-2317	375	10	u	u	PROPN
ejpam-2317	375	11	∈	∈	PROPN
ejpam-2317	375	12	e1(d	e1(d	PROPN
ejpam-2317	375	13	2	2	NUM
ejpam-2317	375	14	)	)	PUNCT
ejpam-2317	375	15	such	such	ADJ
ejpam-2317	375	16	that	that	SCONJ
ejpam-2317	375	17	h	h	NOUN
ejpam-2317	375	18	p	p	X
ejpam-2317	375	19	u	u	X
ejpam-2317	375	20	(	(	PUNCT
ejpam-2317	375	21	d	d	PROPN
ejpam-2317	375	22	2	2	NUM
ejpam-2317	375	23	)	)	PUNCT
ejpam-2317	375	24	6⊆	6⊆	NUM
ejpam-2317	375	25	h	h	PROPN
ejpam-2317	375	26	p(d2	p(d2	PROPN
ejpam-2317	375	27	)	)	PUNCT
ejpam-2317	375	28	.	.	PUNCT
ejpam-2317	376	1	proof	proof	NOUN
ejpam-2317	376	2	.	.	PUNCT
ejpam-2317	377	1	take	take	VERB
ejpam-2317	377	2	f	f	PROPN
ejpam-2317	377	3	∈	∈	PROPN
ejpam-2317	377	4	h	h	PROPN
ejpam-2317	377	5	p(d2	p(d2	PROPN
ejpam-2317	377	6	)	)	PUNCT
ejpam-2317	377	7	that	that	PRON
ejpam-2317	377	8	is	be	AUX
ejpam-2317	377	9	unbounded	unbounded	ADJ
ejpam-2317	377	10	.	.	PUNCT
ejpam-2317	378	1	then	then	ADV
ejpam-2317	378	2	the	the	DET
ejpam-2317	378	3	non	non	ADJ
ejpam-2317	378	4	-	-	ADJ
ejpam-2317	378	5	tangential	tangential	ADJ
ejpam-2317	378	6	limit	limit	NOUN
ejpam-2317	378	7	f	f	PROPN
ejpam-2317	378	8	∗	∗	NOUN
ejpam-2317	378	9	on	on	ADP
ejpam-2317	378	10	t2	t2	PROPN
ejpam-2317	378	11	must	must	AUX
ejpam-2317	378	12	be	be	AUX
ejpam-2317	378	13	unbounded	unbounded	ADJ
ejpam-2317	378	14	because	because	SCONJ
ejpam-2317	378	15	otherwise	otherwise	ADV
ejpam-2317	378	16	f	f	X
ejpam-2317	378	17	(	(	PUNCT
ejpam-2317	378	18	z	z	NOUN
ejpam-2317	378	19	)	)	PUNCT
ejpam-2317	379	1	=	=	SYM
ejpam-2317	379	2	∫	∫	PROPN
ejpam-2317	379	3	t2	t2	PROPN
ejpam-2317	379	4	p(z	p(z	PROPN
ejpam-2317	379	5	,	,	PUNCT
ejpam-2317	379	6	ζ	ζ	NOUN
ejpam-2317	379	7	)	)	PUNCT
ejpam-2317	379	8	f	f	PROPN
ejpam-2317	379	9	∗(ζ	∗(ζ	PROPN
ejpam-2317	379	10	)	)	PUNCT
ejpam-2317	379	11	dm	dm	PROPN
ejpam-2317	379	12	would	would	AUX
ejpam-2317	379	13	imply	imply	VERB
ejpam-2317	379	14	that	that	SCONJ
ejpam-2317	379	15	f	f	PROPN
ejpam-2317	379	16	(	(	PUNCT
ejpam-2317	379	17	z	z	NOUN
ejpam-2317	379	18	)	)	PUNCT
ejpam-2317	379	19	is	be	AUX
ejpam-2317	379	20	bounded	bound	VERB
ejpam-2317	379	21	.	.	PUNCT
ejpam-2317	380	1	so	so	ADV
ejpam-2317	380	2	there	there	PRON
ejpam-2317	380	3	exists	exist	VERB
ejpam-2317	380	4	a	a	DET
ejpam-2317	380	5	set	set	NOUN
ejpam-2317	380	6	of	of	ADP
ejpam-2317	380	7	points	point	NOUN
ejpam-2317	380	8	{	{	PUNCT
ejpam-2317	380	9	ζ	ζ	NOUN
ejpam-2317	380	10	j	j	PROPN
ejpam-2317	380	11	}	}	PUNCT
ejpam-2317	380	12	∈	∈	PROPN
ejpam-2317	380	13	t	t	NOUN
ejpam-2317	380	14	2	2	NUM
ejpam-2317	380	15	such	such	ADJ
ejpam-2317	380	16	that	that	SCONJ
ejpam-2317	380	17	lim	lim	PROPN
ejpam-2317	381	1	j→∞	j→∞	NOUN
ejpam-2317	382	1	|	|	ADV
ejpam-2317	382	2	f	f	PROPN
ejpam-2317	382	3	∗(ζ	∗(ζ	PROPN
ejpam-2317	382	4	j)|=∞.	j)|=∞.	VERB
ejpam-2317	382	5	hence	hence	ADV
ejpam-2317	382	6	the	the	DET
ejpam-2317	382	7	corollary	corollary	NOUN
ejpam-2317	382	8	follows	follow	VERB
ejpam-2317	382	9	from	from	ADP
ejpam-2317	382	10	theorem	theorem	ADJ
ejpam-2317	382	11	13	13	NUM
ejpam-2317	382	12	.	.	PUNCT
ejpam-2317	383	1	now	now	ADV
ejpam-2317	383	2	we	we	PRON
ejpam-2317	383	3	prove	prove	VERB
ejpam-2317	383	4	the	the	DET
ejpam-2317	383	5	most	most	ADV
ejpam-2317	383	6	important	important	ADJ
ejpam-2317	383	7	theorem	theorem	NOUN
ejpam-2317	383	8	of	of	ADP
ejpam-2317	383	9	this	this	DET
ejpam-2317	383	10	section	section	NOUN
ejpam-2317	383	11	.	.	PUNCT
ejpam-2317	384	1	theorem	theorem	VERB
ejpam-2317	384	2	14	14	NUM
ejpam-2317	384	3	.	.	PUNCT
ejpam-2317	385	1	let	let	VERB
ejpam-2317	385	2	p	p	PRON
ejpam-2317	385	3	≥	≥	NOUN
ejpam-2317	385	4	1	1	NUM
ejpam-2317	385	5	.	.	PUNCT
ejpam-2317	386	1	then	then	ADV
ejpam-2317	386	2	⋂	⋂	PROPN
ejpam-2317	386	3	u∈e1(d	u∈e1(d	PROPN
ejpam-2317	386	4	2	2	NUM
ejpam-2317	386	5	)	)	PUNCT
ejpam-2317	386	6	h	h	NOUN
ejpam-2317	386	7	p	p	NOUN
ejpam-2317	386	8	u	u	X
ejpam-2317	386	9	(	(	PUNCT
ejpam-2317	386	10	d	d	NOUN
ejpam-2317	386	11	2	2	NUM
ejpam-2317	386	12	)	)	PUNCT
ejpam-2317	386	13	=	=	SYM
ejpam-2317	386	14	h∞(d2	h∞(d2	PROPN
ejpam-2317	386	15	)	)	PUNCT
ejpam-2317	386	16	.	.	PUNCT
ejpam-2317	387	1	proof	proof	NOUN
ejpam-2317	387	2	.	.	PUNCT
ejpam-2317	388	1	let	let	VERB
ejpam-2317	388	2	f	f	PROPN
ejpam-2317	388	3	∈	∈	PROPN
ejpam-2317	388	4	⋂	⋂	PROPN
ejpam-2317	388	5	u∈e1(d	u∈e1(d	PROPN
ejpam-2317	388	6	2)h	2)h	NUM
ejpam-2317	388	7	p	p	NOUN
ejpam-2317	388	8	u	u	X
ejpam-2317	388	9	(	(	PUNCT
ejpam-2317	388	10	d	d	PROPN
ejpam-2317	388	11	2	2	NUM
ejpam-2317	388	12	)	)	PUNCT
ejpam-2317	388	13	.	.	PUNCT
ejpam-2317	389	1	then	then	ADV
ejpam-2317	389	2	the	the	DET
ejpam-2317	389	3	non	non	ADJ
ejpam-2317	389	4	-	-	ADJ
ejpam-2317	389	5	tangential	tangential	ADJ
ejpam-2317	389	6	limit	limit	NOUN
ejpam-2317	389	7	f	f	PROPN
ejpam-2317	389	8	∗	∗	NOUN
ejpam-2317	389	9	on	on	ADP
ejpam-2317	389	10	t2	t2	PROPN
ejpam-2317	389	11	is	be	AUX
ejpam-2317	389	12	bounded	bound	VERB
ejpam-2317	389	13	because	because	SCONJ
ejpam-2317	389	14	otherwise	otherwise	ADV
ejpam-2317	389	15	by	by	ADP
ejpam-2317	389	16	theorem	theorem	NOUN
ejpam-2317	389	17	13	13	NUM
ejpam-2317	389	18	there	there	PRON
ejpam-2317	389	19	would	would	AUX
ejpam-2317	389	20	exist	exist	VERB
ejpam-2317	389	21	a	a	DET
ejpam-2317	389	22	u	u	NOUN
ejpam-2317	389	23	∈	∈	PROPN
ejpam-2317	389	24	e1(d	e1(d	PROPN
ejpam-2317	389	25	2	2	NUM
ejpam-2317	389	26	)	)	PUNCT
ejpam-2317	389	27	such	such	ADJ
ejpam-2317	389	28	that	that	SCONJ
ejpam-2317	389	29	f	f	PROPN
ejpam-2317	389	30	/∈	/∈	PUNCT
ejpam-2317	390	1	h	h	NOUN
ejpam-2317	391	1	p	p	X
ejpam-2317	391	2	u	u	X
ejpam-2317	391	3	(	(	PUNCT
ejpam-2317	391	4	d	d	PROPN
ejpam-2317	391	5	2	2	NUM
ejpam-2317	391	6	)	)	PUNCT
ejpam-2317	391	7	.	.	PUNCT
ejpam-2317	392	1	thus	thus	ADV
ejpam-2317	392	2	,	,	PUNCT
ejpam-2317	392	3	since	since	SCONJ
ejpam-2317	392	4	f	f	PROPN
ejpam-2317	392	5	∗	∗	PROPN
ejpam-2317	392	6	is	be	AUX
ejpam-2317	392	7	bounded	bound	VERB
ejpam-2317	392	8	,	,	PUNCT
ejpam-2317	392	9	f	f	PROPN
ejpam-2317	392	10	(	(	PUNCT
ejpam-2317	392	11	z	z	NOUN
ejpam-2317	392	12	)	)	PUNCT
ejpam-2317	392	13	=	=	SYM
ejpam-2317	392	14	∫	∫	PROPN
ejpam-2317	392	15	t2	t2	PROPN
ejpam-2317	392	16	p(z	p(z	PROPN
ejpam-2317	392	17	,	,	PUNCT
ejpam-2317	392	18	ζ	ζ	NOUN
ejpam-2317	392	19	)	)	PUNCT
ejpam-2317	392	20	f	f	PROPN
ejpam-2317	392	21	∗(ζ	∗(ζ	PROPN
ejpam-2317	392	22	)	)	PUNCT
ejpam-2317	392	23	dm	dm	PROPN
ejpam-2317	392	24	implies	imply	VERB
ejpam-2317	392	25	that	that	SCONJ
ejpam-2317	392	26	f	f	PROPN
ejpam-2317	392	27	∈	∈	PROPN
ejpam-2317	392	28	h∞(d2	h∞(d2	PROPN
ejpam-2317	392	29	)	)	PUNCT
ejpam-2317	392	30	.	.	PUNCT
ejpam-2317	393	1	acknowledgements	acknowledgement	NOUN
ejpam-2317	393	2	i	i	PRON
ejpam-2317	393	3	would	would	AUX
ejpam-2317	393	4	like	like	VERB
ejpam-2317	393	5	to	to	PART
ejpam-2317	393	6	express	express	VERB
ejpam-2317	393	7	my	my	PRON
ejpam-2317	393	8	sincere	sincere	ADJ
ejpam-2317	393	9	gratitude	gratitude	NOUN
ejpam-2317	393	10	to	to	ADP
ejpam-2317	393	11	my	my	PRON
ejpam-2317	393	12	ph	ph	PROPN
ejpam-2317	393	13	.	.	PROPN
ejpam-2317	393	14	d.	d.	PROPN
ejpam-2317	393	15	advisor	advisor	PROPN
ejpam-2317	393	16	prof	prof	PROPN
ejpam-2317	393	17	.	.	PUNCT
ejpam-2317	394	1	e.	e.	PROPN
ejpam-2317	394	2	a.	a.	PROPN
ejpam-2317	394	3	poletsky	poletsky	PROPN
ejpam-2317	394	4	for	for	ADP
ejpam-2317	394	5	his	his	PRON
ejpam-2317	394	6	immense	immense	ADJ
ejpam-2317	394	7	support	support	NOUN
ejpam-2317	394	8	and	and	CCONJ
ejpam-2317	394	9	guidance	guidance	NOUN
ejpam-2317	394	10	on	on	ADP
ejpam-2317	394	11	this	this	DET
ejpam-2317	394	12	work	work	NOUN
ejpam-2317	394	13	.	.	PUNCT
ejpam-2317	395	1	references	reference	NOUN
ejpam-2317	395	2	304	304	NUM
ejpam-2317	395	3	references	reference	NOUN
ejpam-2317	395	4	[	[	X
ejpam-2317	395	5	1	1	NUM
ejpam-2317	395	6	]	]	PUNCT
ejpam-2317	395	7	m.	m.	NOUN
ejpam-2317	395	8	a.	a.	PROPN
ejpam-2317	395	9	alan	alan	PROPN
ejpam-2317	395	10	and	and	CCONJ
ejpam-2317	395	11	n.	n.	PROPN
ejpam-2317	395	12	g.	g.	PROPN
ejpam-2317	395	13	goğuş.	goğuş.	PROPN
ejpam-2317	396	1	poletsky	poletsky	ADJ
ejpam-2317	396	2	-	-	PUNCT
ejpam-2317	396	3	stessin	stessin	NOUN
ejpam-2317	396	4	-	-	PUNCT
ejpam-2317	396	5	hardy	hardy	ADJ
ejpam-2317	396	6	spaces	space	NOUN
ejpam-2317	396	7	in	in	ADP
ejpam-2317	396	8	the	the	DET
ejpam-2317	396	9	plane	plane	NOUN
ejpam-2317	396	10	,	,	PUNCT
ejpam-2317	396	11	complex	complex	ADJ
ejpam-2317	396	12	analysis	analysis	NOUN
ejpam-2317	396	13	and	and	CCONJ
ejpam-2317	396	14	operator	operator	NOUN
ejpam-2317	396	15	theory	theory	NOUN
ejpam-2317	396	16	,	,	PUNCT
ejpam-2317	396	17	8	8	NUM
ejpam-2317	396	18	,	,	PUNCT
ejpam-2317	396	19	975	975	NUM
ejpam-2317	396	20	-	-	SYM
ejpam-2317	396	21	990	990	NUM
ejpam-2317	396	22	.	.	PUNCT
ejpam-2317	396	23	2014	2014	NUM
ejpam-2317	396	24	.	.	PUNCT
ejpam-2317	397	1	[	[	X
ejpam-2317	397	2	2	2	X
ejpam-2317	397	3	]	]	PUNCT
ejpam-2317	397	4	j.	j.	PROPN
ejpam-2317	397	5	p.	p.	PROPN
ejpam-2317	397	6	demailly	demailly	ADV
ejpam-2317	397	7	.	.	PUNCT
ejpam-2317	398	1	mesures	mesures	PROPN
ejpam-2317	398	2	de	de	X
ejpam-2317	398	3	monge	monge	PROPN
ejpam-2317	398	4	-	-	PUNCT
ejpam-2317	398	5	ampr̀e	ampr̀e	PROPN
ejpam-2317	398	6	et	et	PROPN
ejpam-2317	398	7	mesures	mesures	PROPN
ejpam-2317	398	8	pluriharmoniques	pluriharmoniques	PROPN
ejpam-2317	398	9	,	,	PUNCT
ejpam-2317	398	10	mathematische	mathematische	NOUN
ejpam-2317	398	11	zeitschrift	zeitschrift	NOUN
ejpam-2317	398	12	,	,	PUNCT
ejpam-2317	398	13	194	194	NUM
ejpam-2317	398	14	,	,	PUNCT
ejpam-2317	398	15	519	519	NUM
ejpam-2317	398	16	-	-	SYM
ejpam-2317	398	17	564	564	NUM
ejpam-2317	398	18	.	.	PUNCT
ejpam-2317	398	19	1987	1987	NUM
ejpam-2317	398	20	.	.	PUNCT
ejpam-2317	399	1	[	[	X
ejpam-2317	399	2	3	3	X
ejpam-2317	399	3	]	]	X
ejpam-2317	399	4	e.	e.	PROPN
ejpam-2317	399	5	a.	a.	PROPN
ejpam-2317	399	6	poletsky	poletsky	PROPN
ejpam-2317	399	7	and	and	CCONJ
ejpam-2317	399	8	m.	m.	PROPN
ejpam-2317	399	9	i.	i.	PROPN
ejpam-2317	399	10	stessin	stessin	PROPN
ejpam-2317	399	11	.	.	PUNCT
ejpam-2317	400	1	hardy	hardy	ADJ
ejpam-2317	400	2	and	and	CCONJ
ejpam-2317	400	3	bergman	bergman	PROPN
ejpam-2317	400	4	spaces	space	VERB
ejpam-2317	400	5	on	on	ADP
ejpam-2317	400	6	hyperconvex	hyperconvex	ADJ
ejpam-2317	400	7	domains	domain	NOUN
ejpam-2317	400	8	and	and	CCONJ
ejpam-2317	400	9	their	their	PRON
ejpam-2317	400	10	composition	composition	NOUN
ejpam-2317	400	11	operators	operator	NOUN
ejpam-2317	400	12	,	,	PUNCT
ejpam-2317	400	13	indiana	indiana	PROPN
ejpam-2317	400	14	university	university	PROPN
ejpam-2317	400	15	mathematics	mathematics	PROPN
ejpam-2317	400	16	journal	journal	NOUN
ejpam-2317	400	17	,	,	PUNCT
ejpam-2317	400	18	57	57	NUM
ejpam-2317	400	19	,	,	PUNCT
ejpam-2317	400	20	2153	2153	NUM
ejpam-2317	400	21	-	-	SYM
ejpam-2317	400	22	2201	2201	NUM
ejpam-2317	400	23	.	.	PUNCT
ejpam-2317	401	1	2008	2008	NUM
ejpam-2317	401	2	.	.	PUNCT
ejpam-2317	402	1	[	[	X
ejpam-2317	402	2	4	4	X
ejpam-2317	402	3	]	]	PUNCT
ejpam-2317	402	4	e.	e.	PROPN
ejpam-2317	402	5	a.	a.	PROPN
ejpam-2317	402	6	poletsky	poletsky	PROPN
ejpam-2317	402	7	.	.	PUNCT
ejpam-2317	403	1	projective	projective	ADJ
ejpam-2317	403	2	limits	limit	NOUN
ejpam-2317	403	3	of	of	ADP
ejpam-2317	403	4	poletsky	poletsky	ADJ
ejpam-2317	403	5	–	–	PUNCT
ejpam-2317	403	6	stessin	stessin	VERB
ejpam-2317	403	7	hardy	hardy	ADJ
ejpam-2317	403	8	spaces	space	NOUN
ejpam-2317	403	9	,	,	PUNCT
ejpam-2317	403	10	arxiv:1503.00575	arxiv:1503.00575	NUM
ejpam-2317	403	11	.	.	PUNCT
ejpam-2317	404	1	[	[	X
ejpam-2317	404	2	5	5	X
ejpam-2317	404	3	]	]	PUNCT
ejpam-2317	404	4	e.	e.	PROPN
ejpam-2317	404	5	a.	a.	PROPN
ejpam-2317	404	6	poletsky	poletsky	PROPN
ejpam-2317	404	7	and	and	CCONJ
ejpam-2317	404	8	k.	k.	PROPN
ejpam-2317	404	9	r.	r.	PROPN
ejpam-2317	404	10	shrestha	shrestha	PROPN
ejpam-2317	404	11	.	.	PUNCT
ejpam-2317	405	1	on	on	ADP
ejpam-2317	405	2	weighted	weight	VERB
ejpam-2317	405	3	hardy	hardy	ADJ
ejpam-2317	405	4	spaces	space	NOUN
ejpam-2317	405	5	on	on	ADP
ejpam-2317	405	6	the	the	DET
ejpam-2317	405	7	unit	unit	NOUN
ejpam-2317	405	8	disk	disk	NOUN
ejpam-2317	405	9	,	,	PUNCT
ejpam-2317	405	10	arxiv:1503.00535	arxiv:1503.00535	NOUN
ejpam-2317	405	11	.	.	PUNCT
ejpam-2317	406	1	[	[	X
ejpam-2317	406	2	6	6	NUM
ejpam-2317	406	3	]	]	PUNCT
ejpam-2317	406	4	w.	w.	PROPN
ejpam-2317	406	5	rudin	rudin	PROPN
ejpam-2317	406	6	.	.	PUNCT
ejpam-2317	407	1	real	real	ADJ
ejpam-2317	407	2	and	and	CCONJ
ejpam-2317	407	3	complex	complex	ADJ
ejpam-2317	407	4	analysis	analysis	NOUN
ejpam-2317	407	5	,	,	PUNCT
ejpam-2317	407	6	third	third	ADJ
ejpam-2317	407	7	edition	edition	NOUN
ejpam-2317	407	8	,	,	PUNCT
ejpam-2317	407	9	mcgraw	mcgraw	PROPN
ejpam-2317	407	10	hill	hill	PROPN
ejpam-2317	407	11	,	,	PUNCT
ejpam-2317	407	12	1987	1987	NUM
ejpam-2317	407	13	.	.	PUNCT
ejpam-2317	408	1	[	[	X
ejpam-2317	408	2	7	7	X
ejpam-2317	408	3	]	]	X
ejpam-2317	408	4	w.	w.	PROPN
ejpam-2317	408	5	rudin	rudin	PROPN
ejpam-2317	408	6	.	.	PUNCT
ejpam-2317	408	7	function	function	PROPN
ejpam-2317	408	8	theory	theory	NOUN
ejpam-2317	408	9	in	in	ADP
ejpam-2317	408	10	polydiscs	polydisc	NOUN
ejpam-2317	408	11	,	,	PUNCT
ejpam-2317	408	12	w.	w.	PROPN
ejpam-2317	408	13	a.	a.	PROPN
ejpam-2317	408	14	benjamin	benjamin	PROPN
ejpam-2317	408	15	,	,	PUNCT
ejpam-2317	408	16	inc	inc	PROPN
ejpam-2317	408	17	.	.	PROPN
ejpam-2317	408	18	new	new	PROPN
ejpam-2317	408	19	york	york	PROPN
ejpam-2317	408	20	1969	1969	NUM
ejpam-2317	408	21	.	.	PUNCT
ejpam-2317	409	1	[	[	X
ejpam-2317	409	2	8	8	NUM
ejpam-2317	409	3	]	]	PUNCT
ejpam-2317	409	4	s.	s.	PROPN
ejpam-2317	409	5	şahin	şahin	PROPN
ejpam-2317	409	6	.	.	PROPN
ejpam-2317	409	7	poletsky	poletsky	ADJ
ejpam-2317	409	8	-	-	PUNCT
ejpam-2317	409	9	stessin	stessin	NOUN
ejpam-2317	409	10	hardy	hardy	ADJ
ejpam-2317	409	11	spaces	space	NOUN
ejpam-2317	409	12	on	on	ADP
ejpam-2317	409	13	domains	domain	NOUN
ejpam-2317	409	14	bounded	bound	VERB
ejpam-2317	409	15	by	by	ADP
ejpam-2317	409	16	an	an	DET
ejpam-2317	409	17	analytic	analytic	ADJ
ejpam-2317	409	18	jordan	jordan	PROPN
ejpam-2317	409	19	curve	curve	NOUN
ejpam-2317	409	20	in	in	ADP
ejpam-2317	409	21	c	c	PROPN
ejpam-2317	409	22	,	,	PUNCT
ejpam-2317	409	23	arxiv:1303.2322	arxiv:1303.2322	NOUN
ejpam-2317	409	24	.	.	PUNCT
ejpam-2317	410	1	[	[	X
ejpam-2317	410	2	9	9	NUM
ejpam-2317	410	3	]	]	PUNCT
ejpam-2317	410	4	k.	k.	PROPN
ejpam-2317	410	5	r.	r.	PROPN
ejpam-2317	410	6	shrestha	shrestha	PROPN
ejpam-2317	410	7	.	.	PUNCT
ejpam-2317	411	1	boundary	boundary	ADJ
ejpam-2317	411	2	values	value	NOUN
ejpam-2317	411	3	properties	property	NOUN
ejpam-2317	411	4	of	of	ADP
ejpam-2317	411	5	functions	function	NOUN
ejpam-2317	411	6	in	in	ADP
ejpam-2317	411	7	weighted	weight	VERB
ejpam-2317	411	8	hardy	hardy	ADJ
ejpam-2317	411	9	spaces	space	NOUN
ejpam-2317	411	10	,	,	PUNCT
ejpam-2317	411	11	arxiv:1309.6561	arxiv:1309.6561	PROPN
ejpam-2317	411	12	.	.	PUNCT
ejpam-2317	412	1	[	[	X
ejpam-2317	412	2	10	10	NUM
ejpam-2317	412	3	]	]	PUNCT
ejpam-2317	412	4	k.	k.	PROPN
ejpam-2317	412	5	r.	r.	PROPN
ejpam-2317	412	6	shrestha	shrestha	PROPN
ejpam-2317	412	7	.	.	PUNCT
ejpam-2317	413	1	weighted	weight	VERB
ejpam-2317	413	2	hardy	hardy	ADJ
ejpam-2317	413	3	spaces	space	NOUN
ejpam-2317	413	4	on	on	ADP
ejpam-2317	413	5	the	the	DET
ejpam-2317	413	6	unit	unit	NOUN
ejpam-2317	413	7	disk	disk	NOUN
ejpam-2317	413	8	,	,	PUNCT
ejpam-2317	413	9	complex	complex	ADJ
ejpam-2317	413	10	analysis	analysis	NOUN
ejpam-2317	413	11	and	and	CCONJ
ejpam-2317	413	12	operator	operator	NOUN
ejpam-2317	413	13	theory	theory	NOUN
ejpam-2317	413	14	,	,	PUNCT
ejpam-2317	413	15	9	9	NUM
ejpam-2317	413	16	,	,	PUNCT
ejpam-2317	413	17	1377	1377	NUM
ejpam-2317	413	18	-	-	SYM
ejpam-2317	413	19	1389	1389	NUM
ejpam-2317	413	20	.	.	PUNCT
ejpam-2317	414	1	2015	2015	NUM
ejpam-2317	414	2	.	.	PUNCT
ejpam-2317	415	1	[	[	X
ejpam-2317	415	2	11	11	NUM
ejpam-2317	415	3	]	]	PUNCT
ejpam-2317	415	4	a.	a.	NOUN
ejpam-2317	415	5	zygmund	zygmund	PROPN
ejpam-2317	415	6	.	.	PUNCT
ejpam-2317	416	1	trigonometric	trigonometric	PROPN
ejpam-2317	416	2	series	series	NOUN
ejpam-2317	416	3	,	,	PUNCT
ejpam-2317	416	4	third	third	ADJ
ejpam-2317	416	5	edition	edition	NOUN
ejpam-2317	416	6	,	,	PUNCT
ejpam-2317	416	7	cambridge	cambridge	PROPN
ejpam-2317	416	8	university	university	PROPN
ejpam-2317	416	9	press	press	NOUN
ejpam-2317	416	10	,	,	PUNCT
ejpam-2317	416	11	2002	2002	NUM
ejpam-2317	416	12	.	.	PUNCT