id	sid	tid	token	lemma	pos
ejpam-497	1	1	5_497_bulut.dvi	5_497_bulut.dvi	NUM
ejpam-497	1	2	european	european	ADJ
ejpam-497	1	3	journal	journal	NOUN
ejpam-497	1	4	of	of	ADP
ejpam-497	1	5	pure	pure	ADJ
ejpam-497	1	6	and	and	CCONJ
ejpam-497	1	7	applied	apply	VERB
ejpam-497	1	8	mathematics	mathematic	NOUN
ejpam-497	1	9	vol	vol	NOUN
ejpam-497	1	10	.	.	PROPN
ejpam-497	1	11	4	4	NUM
ejpam-497	1	12	,	,	PUNCT
ejpam-497	1	13	no	no	INTJ
ejpam-497	1	14	.	.	NOUN
ejpam-497	1	15	3	3	NUM
ejpam-497	1	16	,	,	PUNCT
ejpam-497	1	17	2011	2011	NUM
ejpam-497	1	18	,	,	PUNCT
ejpam-497	1	19	244	244	NUM
ejpam-497	1	20	-	-	SYM
ejpam-497	1	21	250	250	NUM
ejpam-497	1	22	issn	issn	PROPN
ejpam-497	1	23	1307	1307	NUM
ejpam-497	1	24	-	-	SYM
ejpam-497	1	25	5543	5543	NUM
ejpam-497	1	26	–	–	PUNCT
ejpam-497	1	27	www.ejpam.com	www.ejpam.com	X
ejpam-497	1	28	a	a	DET
ejpam-497	1	29	new	new	ADJ
ejpam-497	1	30	generalization	generalization	NOUN
ejpam-497	1	31	of	of	ADP
ejpam-497	1	32	the	the	DET
ejpam-497	1	33	operator	operator	NOUN
ejpam-497	1	34	-	-	PUNCT
ejpam-497	1	35	valued	value	VERB
ejpam-497	1	36	poisson	poisson	PROPN
ejpam-497	1	37	kernel	kernel	PROPN
ejpam-497	1	38	serap	serap	PROPN
ejpam-497	1	39	bulut	bulut	PROPN
ejpam-497	1	40	kocaeli	kocaeli	PROPN
ejpam-497	1	41	university	university	PROPN
ejpam-497	1	42	,	,	PUNCT
ejpam-497	1	43	civil	civil	ADJ
ejpam-497	1	44	aviation	aviation	NOUN
ejpam-497	1	45	college	college	NOUN
ejpam-497	1	46	,	,	PUNCT
ejpam-497	1	47	arslanbey	arslanbey	PROPN
ejpam-497	1	48	campus	campus	PROPN
ejpam-497	1	49	,	,	PUNCT
ejpam-497	1	50	41285	41285	NUM
ejpam-497	1	51	i̇zmit	i̇zmit	NOUN
ejpam-497	1	52	,	,	PUNCT
ejpam-497	1	53	kocaeli	kocaeli	ADJ
ejpam-497	1	54	,	,	PUNCT
ejpam-497	1	55	turkey	turkey	PROPN
ejpam-497	1	56	abstract	abstract	NOUN
ejpam-497	1	57	.	.	PUNCT
ejpam-497	2	1	the	the	DET
ejpam-497	2	2	purpose	purpose	NOUN
ejpam-497	2	3	of	of	ADP
ejpam-497	2	4	this	this	DET
ejpam-497	2	5	paper	paper	NOUN
ejpam-497	2	6	is	be	AUX
ejpam-497	2	7	to	to	PART
ejpam-497	2	8	give	give	VERB
ejpam-497	2	9	a	a	DET
ejpam-497	2	10	new	new	ADJ
ejpam-497	2	11	generalization	generalization	NOUN
ejpam-497	2	12	of	of	ADP
ejpam-497	2	13	the	the	DET
ejpam-497	2	14	operator	operator	NOUN
ejpam-497	2	15	-	-	PUNCT
ejpam-497	2	16	valued	value	VERB
ejpam-497	2	17	poisson	poisson	NOUN
ejpam-497	2	18	kernel	kernel	PROPN
ejpam-497	2	19	and	and	CCONJ
ejpam-497	2	20	discuss	discuss	VERB
ejpam-497	2	21	its	its	PRON
ejpam-497	2	22	some	some	DET
ejpam-497	2	23	applications	application	NOUN
ejpam-497	2	24	.	.	PUNCT
ejpam-497	3	1	2000	2000	NUM
ejpam-497	3	2	mathematics	mathematic	NOUN
ejpam-497	3	3	subject	subject	NOUN
ejpam-497	3	4	classifications	classification	NOUN
ejpam-497	3	5	:	:	PUNCT
ejpam-497	3	6	45p05	45p05	NUM
ejpam-497	3	7	,	,	PUNCT
ejpam-497	3	8	47a60	47a60	NUM
ejpam-497	3	9	;	;	PUNCT
ejpam-497	3	10	46e40	46e40	NUM
ejpam-497	3	11	,	,	PUNCT
ejpam-497	3	12	47b38	47b38	DET
ejpam-497	3	13	key	key	ADJ
ejpam-497	3	14	words	word	NOUN
ejpam-497	3	15	and	and	CCONJ
ejpam-497	3	16	phrases	phrase	NOUN
ejpam-497	3	17	:	:	PUNCT
ejpam-497	3	18	poisson	poisson	PROPN
ejpam-497	3	19	kernel	kernel	PROPN
ejpam-497	3	20	,	,	PUNCT
ejpam-497	3	21	operator	operator	NOUN
ejpam-497	3	22	-	-	PUNCT
ejpam-497	3	23	valued	value	VERB
ejpam-497	3	24	poisson	poisson	NOUN
ejpam-497	3	25	kernel	kernel	PROPN
ejpam-497	3	26	1	1	X
ejpam-497	3	27	.	.	PUNCT
ejpam-497	4	1	introduction	introduction	NOUN
ejpam-497	4	2	let	let	VERB
ejpam-497	4	3	h	h	PRON
ejpam-497	4	4	be	be	AUX
ejpam-497	4	5	a	a	DET
ejpam-497	4	6	hilbert	hilbert	NOUN
ejpam-497	4	7	space	space	NOUN
ejpam-497	4	8	which	which	PRON
ejpam-497	4	9	will	will	AUX
ejpam-497	4	10	be	be	AUX
ejpam-497	4	11	always	always	ADV
ejpam-497	4	12	complex	complex	ADJ
ejpam-497	4	13	and	and	CCONJ
ejpam-497	4	14	let	let	VERB
ejpam-497	4	15	l	l	NOUN
ejpam-497	4	16	(	(	PUNCT
ejpam-497	4	17	h	h	NOUN
ejpam-497	4	18	)	)	PUNCT
ejpam-497	4	19	be	be	AUX
ejpam-497	4	20	the	the	DET
ejpam-497	4	21	algebra	algebra	NOUN
ejpam-497	4	22	of	of	ADP
ejpam-497	4	23	all	all	DET
ejpam-497	4	24	bounded	bound	VERB
ejpam-497	4	25	linear	linear	PROPN
ejpam-497	4	26	operators	operator	NOUN
ejpam-497	4	27	from	from	ADP
ejpam-497	4	28	h	h	NOUN
ejpam-497	4	29	to	to	ADP
ejpam-497	4	30	h	h	PROPN
ejpam-497	4	31	.	.	PUNCT
ejpam-497	5	1	we	we	PRON
ejpam-497	5	2	write	write	VERB
ejpam-497	5	3	i	i	PRON
ejpam-497	5	4	for	for	ADP
ejpam-497	5	5	the	the	DET
ejpam-497	5	6	identity	identity	NOUN
ejpam-497	5	7	operator	operator	NOUN
ejpam-497	5	8	on	on	ADP
ejpam-497	5	9	h	h	NOUN
ejpam-497	5	10	.	.	PUNCT
ejpam-497	6	1	for	for	ADP
ejpam-497	6	2	t	t	PROPN
ejpam-497	6	3	∈	∈	PROPN
ejpam-497	6	4	l	l	NOUN
ejpam-497	6	5	(	(	PUNCT
ejpam-497	6	6	h	h	NOUN
ejpam-497	6	7	)	)	PUNCT
ejpam-497	6	8	,	,	PUNCT
ejpam-497	6	9	we	we	PRON
ejpam-497	6	10	denote	denote	VERB
ejpam-497	6	11	by	by	ADP
ejpam-497	6	12	σ(t	σ(t	PROPN
ejpam-497	6	13	)	)	PUNCT
ejpam-497	7	1	the	the	DET
ejpam-497	7	2	spectrum	spectrum	NOUN
ejpam-497	7	3	of	of	ADP
ejpam-497	7	4	t	t	PROPN
ejpam-497	7	5	.	.	PUNCT
ejpam-497	8	1	for	for	ADP
ejpam-497	8	2	two	two	NUM
ejpam-497	8	3	operators	operator	NOUN
ejpam-497	8	4	s	s	PART
ejpam-497	8	5	,	,	PUNCT
ejpam-497	8	6	t	t	PROPN
ejpam-497	8	7	∈	∈	PROPN
ejpam-497	8	8	l	l	NOUN
ejpam-497	8	9	(	(	PUNCT
ejpam-497	8	10	h	h	NOUN
ejpam-497	8	11	)	)	PUNCT
ejpam-497	8	12	,	,	PUNCT
ejpam-497	8	13	we	we	PRON
ejpam-497	8	14	write	write	VERB
ejpam-497	8	15	s	s	PRON
ejpam-497	8	16	≥	≥	PROPN
ejpam-497	8	17	t	t	NOUN
ejpam-497	8	18	to	to	PART
ejpam-497	8	19	indicate	indicate	VERB
ejpam-497	8	20	that	that	PRON
ejpam-497	8	21	s	s	VERB
ejpam-497	8	22	−	−	PROPN
ejpam-497	8	23	t	t	PROPN
ejpam-497	8	24	is	be	AUX
ejpam-497	8	25	positive	positive	ADJ
ejpam-497	8	26	,	,	PUNCT
ejpam-497	8	27	i.e.	i.e.	X
ejpam-497	8	28	,	,	PUNCT
ejpam-497	8	29	〈	〈	PROPN
ejpam-497	8	30	(	(	PUNCT
ejpam-497	8	31	s−	s−	PROPN
ejpam-497	8	32	t	t	PROPN
ejpam-497	8	33	)	)	PUNCT
ejpam-497	8	34	x	x	SYM
ejpam-497	8	35	,	,	PUNCT
ejpam-497	8	36	x	x	SYM
ejpam-497	8	37	〉	〉	X
ejpam-497	8	38	≥	≥	NOUN
ejpam-497	8	39	0	0	NUM
ejpam-497	8	40	for	for	ADP
ejpam-497	8	41	all	all	DET
ejpam-497	8	42	x	x	NOUN
ejpam-497	8	43	∈h	∈h	NOUN
ejpam-497	8	44	.	.	PUNCT
ejpam-497	9	1	let	let	VERB
ejpam-497	9	2	a	a	DET
ejpam-497	9	3	∈	∈	ADJ
ejpam-497	9	4	l	l	NOUN
ejpam-497	9	5	(	(	PUNCT
ejpam-497	9	6	h	h	NOUN
ejpam-497	9	7	)	)	PUNCT
ejpam-497	9	8	.	.	PUNCT
ejpam-497	10	1	for	for	ADP
ejpam-497	10	2	a	a	DET
ejpam-497	10	3	complex	complex	ADJ
ejpam-497	10	4	valued	value	VERB
ejpam-497	10	5	function	function	NOUN
ejpam-497	10	6	f	f	PROPN
ejpam-497	10	7	analytic	analytic	NOUN
ejpam-497	10	8	on	on	ADP
ejpam-497	10	9	a	a	DET
ejpam-497	10	10	domain	domain	NOUN
ejpam-497	10	11	e	e	NOUN
ejpam-497	10	12	of	of	ADP
ejpam-497	10	13	the	the	DET
ejpam-497	10	14	complex	complex	ADJ
ejpam-497	10	15	plane	plane	NOUN
ejpam-497	10	16	containing	contain	VERB
ejpam-497	10	17	the	the	DET
ejpam-497	10	18	spectrum	spectrum	NOUN
ejpam-497	10	19	σ(a	σ(a	PROPN
ejpam-497	10	20	)	)	PUNCT
ejpam-497	10	21	of	of	ADP
ejpam-497	10	22	a	a	PRON
ejpam-497	10	23	we	we	PRON
ejpam-497	10	24	denote	denote	VERB
ejpam-497	10	25	f	f	PROPN
ejpam-497	10	26	(	(	PUNCT
ejpam-497	10	27	a	a	NOUN
ejpam-497	10	28	)	)	PUNCT
ejpam-497	10	29	as	as	ADP
ejpam-497	10	30	riesz	riesz	NOUN
ejpam-497	10	31	-	-	PUNCT
ejpam-497	10	32	dunford	dunford	NOUN
ejpam-497	10	33	integral	integral	ADJ
ejpam-497	11	1	[	[	X
ejpam-497	11	2	2	2	NUM
ejpam-497	11	3	,	,	PUNCT
ejpam-497	11	4	p.	p.	NOUN
ejpam-497	11	5	568	568	NUM
ejpam-497	11	6	]	]	PUNCT
ejpam-497	11	7	,	,	PUNCT
ejpam-497	11	8	that	that	ADV
ejpam-497	11	9	is	is	ADV
ejpam-497	11	10	,	,	PUNCT
ejpam-497	11	11	f	f	PROPN
ejpam-497	11	12	(	(	PUNCT
ejpam-497	11	13	a	a	NOUN
ejpam-497	11	14	)	)	PUNCT
ejpam-497	11	15	:	:	PUNCT
ejpam-497	11	16	=	=	SYM
ejpam-497	11	17	1	1	NUM
ejpam-497	11	18	2πi	2πi	ADJ
ejpam-497	11	19	∫	∫	PROPN
ejpam-497	11	20	c	c	PROPN
ejpam-497	11	21	f	f	PROPN
ejpam-497	11	22	(	(	PUNCT
ejpam-497	11	23	z)(zi	z)(zi	ADJ
ejpam-497	11	24	−	−	PROPN
ejpam-497	11	25	a)−1dz	a)−1dz	NOUN
ejpam-497	11	26	,	,	PUNCT
ejpam-497	11	27	(	(	PUNCT
ejpam-497	11	28	1	1	X
ejpam-497	11	29	)	)	PUNCT
ejpam-497	11	30	where	where	SCONJ
ejpam-497	11	31	c	c	NOUN
ejpam-497	11	32	is	be	AUX
ejpam-497	11	33	positively	positively	ADV
ejpam-497	11	34	oriented	orient	VERB
ejpam-497	11	35	simple	simple	ADJ
ejpam-497	11	36	closed	close	VERB
ejpam-497	11	37	rectifiable	rectifiable	ADJ
ejpam-497	11	38	contour	contour	NOUN
ejpam-497	11	39	containing	contain	VERB
ejpam-497	11	40	σ(a	σ(a	PROPN
ejpam-497	11	41	)	)	PUNCT
ejpam-497	11	42	.	.	PUNCT
ejpam-497	12	1	throughout	throughout	ADP
ejpam-497	12	2	the	the	DET
ejpam-497	12	3	paper	paper	NOUN
ejpam-497	12	4	d	d	NOUN
ejpam-497	12	5	will	will	AUX
ejpam-497	12	6	denote	denote	VERB
ejpam-497	12	7	the	the	DET
ejpam-497	12	8	open	open	ADJ
ejpam-497	12	9	unit	unit	NOUN
ejpam-497	12	10	disc	disc	VERB
ejpam-497	12	11	d	d	PROPN
ejpam-497	12	12	=	=	PRON
ejpam-497	12	13	{	{	PUNCT
ejpam-497	12	14	z	z	NOUN
ejpam-497	12	15	:	:	PUNCT
ejpam-497	12	16	|z|	|z|	NOUN
ejpam-497	12	17	<	<	X
ejpam-497	12	18	1	1	NUM
ejpam-497	12	19	}	}	PUNCT
ejpam-497	12	20	in	in	ADP
ejpam-497	12	21	the	the	DET
ejpam-497	12	22	complex	complex	ADJ
ejpam-497	12	23	plane	plane	NOUN
ejpam-497	12	24	c.	c.	NOUN
ejpam-497	12	25	2	2	NUM
ejpam-497	12	26	.	.	PUNCT
ejpam-497	13	1	the	the	DET
ejpam-497	13	2	(	(	PUNCT
ejpam-497	13	3	scalar	scalar	ADJ
ejpam-497	13	4	)	)	PUNCT
ejpam-497	13	5	poisson	poisson	NOUN
ejpam-497	13	6	kernel	kernel	PROPN
ejpam-497	13	7	and	and	CCONJ
ejpam-497	13	8	the	the	DET
ejpam-497	13	9	operator	operator	NOUN
ejpam-497	13	10	-	-	PUNCT
ejpam-497	13	11	valued	value	VERB
ejpam-497	13	12	poisson	poisson	NOUN
ejpam-497	13	13	kernel	kernel	PROPN
ejpam-497	13	14	for	for	ADP
ejpam-497	13	15	rei	rei	PROPN
ejpam-497	13	16	t	t	PROPN
ejpam-497	13	17	∈	∈	PROPN
ejpam-497	14	1	d	d	PROPN
ejpam-497	14	2	,	,	PUNCT
ejpam-497	14	3	the	the	DET
ejpam-497	14	4	(	(	PUNCT
ejpam-497	14	5	scalar	scalar	ADJ
ejpam-497	14	6	)	)	PUNCT
ejpam-497	14	7	poisson	poisson	PROPN
ejpam-497	14	8	kernel	kernel	PROPN
ejpam-497	14	9	pr	pr	PROPN
ejpam-497	14	10	,	,	PUNCT
ejpam-497	14	11	t	t	PROPN
ejpam-497	14	12	is	be	AUX
ejpam-497	14	13	defined	define	VERB
ejpam-497	14	14	by	by	ADP
ejpam-497	14	15	pr	pr	NOUN
ejpam-497	14	16	,	,	PUNCT
ejpam-497	14	17	t(e	t(e	X
ejpam-497	14	18	iθ	iθ	NOUN
ejpam-497	14	19	)	)	PUNCT
ejpam-497	15	1	=	=	SYM
ejpam-497	15	2	1−	1−	NUM
ejpam-497	15	3	r2	r2	PROPN
ejpam-497	15	4	�	�	PROPN
ejpam-497	15	5	1−	1−	NUM
ejpam-497	15	6	rei	rei	PROPN
ejpam-497	15	7	t	t	PROPN
ejpam-497	15	8	e−iθ	e−iθ	PROPN
ejpam-497	15	9	�	�	PROPN
ejpam-497	15	10	�	�	PROPN
ejpam-497	15	11	1−	1−	NUM
ejpam-497	15	12	re−i	re−i	PROPN
ejpam-497	15	13	t	t	PROPN
ejpam-497	15	14	eiθ	eiθ	PRON
ejpam-497	15	15	�	�	PROPN
ejpam-497	15	16	(	(	PUNCT
ejpam-497	15	17	2	2	NUM
ejpam-497	15	18	)	)	PUNCT
ejpam-497	15	19	email	email	NOUN
ejpam-497	15	20	addresses	address	NOUN
ejpam-497	15	21	:	:	PUNCT
ejpam-497	15	22	serap.bulut	serap.bulut	VERB
ejpam-497	15	23	�	�	NOUN
ejpam-497	15	24	ko	ko	PROPN
ejpam-497	15	25	aeli.edu.tr	aeli.edu.tr	PRON
ejpam-497	15	26	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-497	16	1	244	244	NUM
ejpam-497	17	1	c	c	X
ejpam-497	17	2	©	©	PROPN
ejpam-497	17	3	2011	2011	NUM
ejpam-497	17	4	ejpam	ejpam	VERB
ejpam-497	17	5	all	all	DET
ejpam-497	17	6	rights	right	NOUN
ejpam-497	17	7	reserved	reserve	VERB
ejpam-497	17	8	.	.	PUNCT
ejpam-497	18	1	s.	s.	PROPN
ejpam-497	18	2	bulut	bulut	PROPN
ejpam-497	18	3	/	/	SYM
ejpam-497	18	4	eur	eur	PROPN
ejpam-497	18	5	.	.	PUNCT
ejpam-497	19	1	j.	j.	PROPN
ejpam-497	19	2	pure	pure	PROPN
ejpam-497	19	3	appl	appl	PROPN
ejpam-497	19	4	.	.	PROPN
ejpam-497	19	5	math	math	PROPN
ejpam-497	19	6	,	,	PUNCT
ejpam-497	19	7	4	4	NUM
ejpam-497	19	8	(	(	PUNCT
ejpam-497	19	9	2011	2011	NUM
ejpam-497	19	10	)	)	PUNCT
ejpam-497	19	11	,	,	PUNCT
ejpam-497	19	12	244	244	NUM
ejpam-497	19	13	-	-	SYM
ejpam-497	19	14	250	250	NUM
ejpam-497	19	15	245	245	NUM
ejpam-497	19	16	=	=	SYM
ejpam-497	19	17	1	1	NUM
ejpam-497	19	18	1−	1−	NUM
ejpam-497	19	19	rei	rei	PROPN
ejpam-497	19	20	t	t	PROPN
ejpam-497	19	21	e−iθ	e−iθ	PROPN
ejpam-497	19	22	+	+	CCONJ
ejpam-497	19	23	1	1	NUM
ejpam-497	19	24	1−	1−	NUM
ejpam-497	19	25	re−i	re−i	PROPN
ejpam-497	19	26	t	t	PROPN
ejpam-497	19	27	eiθ	eiθ	NUM
ejpam-497	20	1	−	−	NOUN
ejpam-497	20	2	1	1	NUM
ejpam-497	20	3	=	=	SYM
ejpam-497	20	4	∑	∑	PUNCT
ejpam-497	20	5	n≥0	n≥0	PROPN
ejpam-497	20	6	rneint	rneint	NOUN
ejpam-497	20	7	e−inθ	e−inθ	NOUN
ejpam-497	21	1	+	+	CCONJ
ejpam-497	21	2	∑	∑	PROPN
ejpam-497	21	3	n≥0	n≥0	ADJ
ejpam-497	21	4	rne−int	rne−int	PROPN
ejpam-497	21	5	einθ	einθ	NOUN
ejpam-497	21	6	−	−	PROPN
ejpam-497	22	1	1	1	X
ejpam-497	22	2	.	.	PUNCT
ejpam-497	23	1	it	it	PRON
ejpam-497	23	2	is	be	AUX
ejpam-497	23	3	the	the	DET
ejpam-497	23	4	well	well	ADV
ejpam-497	23	5	-	-	PUNCT
ejpam-497	23	6	known	know	VERB
ejpam-497	23	7	property	property	NOUN
ejpam-497	23	8	of	of	ADP
ejpam-497	23	9	the	the	DET
ejpam-497	23	10	(	(	PUNCT
ejpam-497	23	11	scalar	scalar	ADJ
ejpam-497	23	12	)	)	PUNCT
ejpam-497	23	13	poisson	poisson	NOUN
ejpam-497	23	14	kernel	kernel	PROPN
ejpam-497	23	15	that	that	SCONJ
ejpam-497	23	16	the	the	DET
ejpam-497	23	17	integral	integral	ADJ
ejpam-497	23	18	formula	formula	NOUN
ejpam-497	23	19	1	1	NUM
ejpam-497	23	20	2π	2π	NUM
ejpam-497	23	21	2π	2π	PROPN
ejpam-497	23	22	∫	∫	PROPN
ejpam-497	23	23	0	0	NUM
ejpam-497	23	24	pr	pr	PROPN
ejpam-497	23	25	,	,	PUNCT
ejpam-497	23	26	t(e	t(e	PROPN
ejpam-497	23	27	iθ	iθ	NOUN
ejpam-497	23	28	)	)	PUNCT
ejpam-497	23	29	dθ	dθ	PROPN
ejpam-497	23	30	=	=	NOUN
ejpam-497	23	31	1	1	NUM
ejpam-497	23	32	holds	hold	NOUN
ejpam-497	23	33	.	.	PUNCT
ejpam-497	24	1	in	in	ADP
ejpam-497	24	2	[	[	X
ejpam-497	24	3	1	1	NUM
ejpam-497	24	4	]	]	PUNCT
ejpam-497	24	5	,	,	PUNCT
ejpam-497	24	6	the	the	DET
ejpam-497	24	7	author	author	NOUN
ejpam-497	24	8	gave	give	VERB
ejpam-497	24	9	the	the	DET
ejpam-497	24	10	definition	definition	NOUN
ejpam-497	24	11	of	of	ADP
ejpam-497	24	12	the	the	DET
ejpam-497	24	13	operator	operator	NOUN
ejpam-497	24	14	-	-	PUNCT
ejpam-497	24	15	valued	value	VERB
ejpam-497	24	16	poisson	poisson	NOUN
ejpam-497	24	17	kernel	kernel	PROPN
ejpam-497	24	18	kr	kr	PROPN
ejpam-497	24	19	,	,	PUNCT
ejpam-497	24	20	t(t	t(t	NOUN
ejpam-497	24	21	)	)	PUNCT
ejpam-497	24	22	∈	∈	PROPN
ejpam-497	24	23	l	l	NOUN
ejpam-497	24	24	(	(	PUNCT
ejpam-497	24	25	h	h	NOUN
ejpam-497	24	26	)	)	PUNCT
ejpam-497	24	27	for	for	ADP
ejpam-497	24	28	t	t	PROPN
ejpam-497	24	29	∈	∈	PROPN
ejpam-497	24	30	l	l	NOUN
ejpam-497	24	31	(	(	PUNCT
ejpam-497	24	32	h	h	NOUN
ejpam-497	24	33	)	)	PUNCT
ejpam-497	24	34	such	such	ADJ
ejpam-497	24	35	that	that	SCONJ
ejpam-497	24	36	σ(t	σ(t	PROPN
ejpam-497	24	37	)	)	PUNCT
ejpam-497	25	1	⊂	⊂	PROPN
ejpam-497	25	2	d	d	PROPN
ejpam-497	25	3	and	and	CCONJ
ejpam-497	25	4	for	for	ADP
ejpam-497	25	5	rei	rei	PROPN
ejpam-497	25	6	t	t	PROPN
ejpam-497	25	7	∈	∈	PROPN
ejpam-497	25	8	d	d	X
ejpam-497	25	9	,	,	PUNCT
ejpam-497	25	10	in	in	ADP
ejpam-497	25	11	the	the	DET
ejpam-497	25	12	following	following	ADJ
ejpam-497	25	13	way	way	NOUN
ejpam-497	25	14	:	:	PUNCT
ejpam-497	25	15	kr	kr	NOUN
ejpam-497	25	16	,	,	PUNCT
ejpam-497	25	17	t(t	t(t	NOUN
ejpam-497	25	18	)	)	PUNCT
ejpam-497	25	19	=	=	SYM
ejpam-497	26	1	(	(	PUNCT
ejpam-497	26	2	i	i	PRON
ejpam-497	26	3	−	−	PROPN
ejpam-497	26	4	rei	rei	PROPN
ejpam-497	26	5	t	t	PROPN
ejpam-497	26	6	t	t	PROPN
ejpam-497	26	7	∗)−1	∗)−1	X
ejpam-497	27	1	+	+	CCONJ
ejpam-497	27	2	(	(	PUNCT
ejpam-497	27	3	i	i	PRON
ejpam-497	27	4	−	−	PROPN
ejpam-497	27	5	re−i	re−i	PROPN
ejpam-497	27	6	t	t	PROPN
ejpam-497	27	7	t	t	PROPN
ejpam-497	27	8	)	)	PUNCT
ejpam-497	27	9	−1	−1	NOUN
ejpam-497	27	10	−	−	PROPN
ejpam-497	28	1	i	i	PRON
ejpam-497	28	2	.	.	PUNCT
ejpam-497	29	1	(	(	PUNCT
ejpam-497	29	2	3	3	X
ejpam-497	29	3	)	)	PUNCT
ejpam-497	29	4	for	for	ADP
ejpam-497	29	5	an	an	DET
ejpam-497	29	6	operator	operator	NOUN
ejpam-497	29	7	t	t	PROPN
ejpam-497	29	8	∈	∈	PROPN
ejpam-497	29	9	l	l	NOUN
ejpam-497	29	10	(	(	PUNCT
ejpam-497	29	11	h	h	NOUN
ejpam-497	29	12	)	)	PUNCT
ejpam-497	29	13	and	and	CCONJ
ejpam-497	29	14	a	a	DET
ejpam-497	29	15	polynomial	polynomial	ADJ
ejpam-497	29	16	p(z	p(z	NOUN
ejpam-497	29	17	)	)	PUNCT
ejpam-497	29	18	=	=	SYM
ejpam-497	30	1	n	n	CCONJ
ejpam-497	30	2	∑	∑	ADP
ejpam-497	30	3	k=0	k=0	PROPN
ejpam-497	30	4	akzk	akzk	NOUN
ejpam-497	30	5	∈	∈	PROPN
ejpam-497	30	6	c	c	PROPN
ejpam-497	31	1	[	[	X
ejpam-497	31	2	z]|d	z]|d	NUM
ejpam-497	31	3	,	,	PUNCT
ejpam-497	31	4	p(t	p(t	NOUN
ejpam-497	31	5	)	)	PUNCT
ejpam-497	31	6	∈	∈	PROPN
ejpam-497	31	7	l	l	NOUN
ejpam-497	31	8	(	(	PUNCT
ejpam-497	31	9	h	h	NOUN
ejpam-497	31	10	)	)	PUNCT
ejpam-497	31	11	is	be	AUX
ejpam-497	31	12	defined	define	VERB
ejpam-497	31	13	by	by	ADP
ejpam-497	31	14	p(t	p(t	NOUN
ejpam-497	31	15	)	)	PUNCT
ejpam-497	32	1	=	=	SYM
ejpam-497	32	2	n	n	CCONJ
ejpam-497	32	3	∑	∑	ADP
ejpam-497	32	4	k=0	k=0	PROPN
ejpam-497	32	5	akt	akt	PROPN
ejpam-497	32	6	k.	k.	PROPN
ejpam-497	32	7	remark	remark	PROPN
ejpam-497	32	8	1	1	NUM
ejpam-497	32	9	.	.	PUNCT
ejpam-497	33	1	t	t	PROPN
ejpam-497	33	2	0	0	NUM
ejpam-497	33	3	is	be	AUX
ejpam-497	33	4	defined	define	VERB
ejpam-497	33	5	to	to	PART
ejpam-497	33	6	be	be	AUX
ejpam-497	33	7	the	the	DET
ejpam-497	33	8	identity	identity	NOUN
ejpam-497	33	9	operator	operator	NOUN
ejpam-497	33	10	,	,	PUNCT
ejpam-497	33	11	whatever	whatever	PRON
ejpam-497	33	12	the	the	DET
ejpam-497	33	13	operator	operator	NOUN
ejpam-497	33	14	t	t	NOUN
ejpam-497	33	15	.	.	PUNCT
ejpam-497	34	1	another	another	DET
ejpam-497	34	2	way	way	NOUN
ejpam-497	34	3	to	to	PART
ejpam-497	34	4	define	define	VERB
ejpam-497	34	5	p(rt	p(rt	PRON
ejpam-497	34	6	)	)	PUNCT
ejpam-497	34	7	for	for	ADP
ejpam-497	34	8	0≤	0≤	NUM
ejpam-497	34	9	r	r	NOUN
ejpam-497	34	10	<	<	X
ejpam-497	34	11	1	1	NUM
ejpam-497	34	12	is	be	AUX
ejpam-497	34	13	to	to	PART
ejpam-497	34	14	use	use	VERB
ejpam-497	34	15	the	the	DET
ejpam-497	34	16	operator	operator	NOUN
ejpam-497	34	17	-	-	PUNCT
ejpam-497	34	18	valued	value	VERB
ejpam-497	34	19	poisson	poisson	NOUN
ejpam-497	34	20	kernel	kernel	PROPN
ejpam-497	34	21	.	.	PUNCT
ejpam-497	35	1	lemma	lemma	PROPN
ejpam-497	35	2	1	1	NUM
ejpam-497	35	3	(	(	PUNCT
ejpam-497	35	4	[	[	X
ejpam-497	35	5	1	1	NUM
ejpam-497	35	6	]	]	PUNCT
ejpam-497	35	7	)	)	PUNCT
ejpam-497	35	8	.	.	PUNCT
ejpam-497	36	1	let	let	VERB
ejpam-497	36	2	t	t	PROPN
ejpam-497	36	3	∈	∈	PROPN
ejpam-497	36	4	l	l	NOUN
ejpam-497	36	5	(	(	PUNCT
ejpam-497	36	6	h	h	NOUN
ejpam-497	36	7	)	)	PUNCT
ejpam-497	36	8	such	such	ADJ
ejpam-497	36	9	that	that	SCONJ
ejpam-497	36	10	σ(t	σ(t	PROPN
ejpam-497	36	11	)	)	PUNCT
ejpam-497	36	12	⊂	⊂	PROPN
ejpam-497	36	13	d.	d.	PROPN
ejpam-497	36	14	for	for	ADP
ejpam-497	36	15	all	all	DET
ejpam-497	36	16	r	r	NOUN
ejpam-497	36	17	∈	∈	PROPN
ejpam-497	36	18	[	[	X
ejpam-497	36	19	0,1	0,1	NUM
ejpam-497	36	20	)	)	PUNCT
ejpam-497	36	21	,	,	PUNCT
ejpam-497	36	22	we	we	PRON
ejpam-497	36	23	have	have	VERB
ejpam-497	36	24	:	:	PUNCT
ejpam-497	36	25	p(rt	p(rt	ADV
ejpam-497	36	26	)	)	PUNCT
ejpam-497	36	27	=	=	SYM
ejpam-497	37	1	1	1	NUM
ejpam-497	37	2	2π	2π	NUM
ejpam-497	37	3	2π	2π	PROPN
ejpam-497	37	4	∫	∫	NOUN
ejpam-497	37	5	0	0	PUNCT
ejpam-497	38	1	p(ei	p(ei	PROPN
ejpam-497	38	2	t)kr	t)kr	PROPN
ejpam-497	38	3	,	,	PUNCT
ejpam-497	38	4	t(t	t(t	NOUN
ejpam-497	38	5	)	)	PUNCT
ejpam-497	38	6	d	d	NOUN
ejpam-497	38	7	t	t	NOUN
ejpam-497	38	8	,	,	PUNCT
ejpam-497	38	9	p	p	PROPN
ejpam-497	38	10	∈	∈	PROPN
ejpam-497	38	11	c	c	X
ejpam-497	39	1	[	[	X
ejpam-497	39	2	z]|d	z]|d	PROPN
ejpam-497	39	3	.	.	PUNCT
ejpam-497	40	1	(	(	PUNCT
ejpam-497	40	2	4	4	X
ejpam-497	40	3	)	)	PUNCT
ejpam-497	40	4	remark	remark	NOUN
ejpam-497	40	5	2	2	NUM
ejpam-497	40	6	.	.	PUNCT
ejpam-497	40	7	note	note	VERB
ejpam-497	40	8	that	that	SCONJ
ejpam-497	40	9	in	in	ADP
ejpam-497	40	10	the	the	DET
ejpam-497	40	11	case	case	NOUN
ejpam-497	40	12	p	p	PRON
ejpam-497	40	13	identically	identically	ADV
ejpam-497	40	14	equal	equal	ADJ
ejpam-497	40	15	to	to	ADP
ejpam-497	40	16	1	1	NUM
ejpam-497	40	17	we	we	PRON
ejpam-497	40	18	have	have	VERB
ejpam-497	40	19	1	1	NUM
ejpam-497	40	20	2π	2π	PROPN
ejpam-497	40	21	2π	2π	PROPN
ejpam-497	40	22	∫	∫	NOUN
ejpam-497	40	23	0	0	NUM
ejpam-497	40	24	kr	kr	PROPN
ejpam-497	40	25	,	,	PUNCT
ejpam-497	40	26	t(t	t(t	NOUN
ejpam-497	40	27	)	)	PUNCT
ejpam-497	41	1	d	d	NOUN
ejpam-497	41	2	t	t	NOUN
ejpam-497	41	3	=	=	PUNCT
ejpam-497	41	4	i	i	PROPN
ejpam-497	41	5	.	.	PUNCT
ejpam-497	42	1	remark	remark	VERB
ejpam-497	42	2	3	3	NUM
ejpam-497	42	3	.	.	PUNCT
ejpam-497	43	1	since	since	SCONJ
ejpam-497	43	2	the	the	DET
ejpam-497	43	3	definition	definition	NOUN
ejpam-497	43	4	of	of	ADP
ejpam-497	43	5	the	the	DET
ejpam-497	43	6	(	(	PUNCT
ejpam-497	43	7	scalar	scalar	ADJ
ejpam-497	43	8	)	)	PUNCT
ejpam-497	43	9	poisson	poisson	PROPN
ejpam-497	43	10	kernel	kernel	PROPN
ejpam-497	43	11	pr	pr	PROPN
ejpam-497	43	12	,	,	PUNCT
ejpam-497	43	13	t(e	t(e	X
ejpam-497	43	14	iθ	iθ	NOUN
ejpam-497	43	15	)	)	PUNCT
ejpam-497	43	16	in	in	ADP
ejpam-497	43	17	(	(	PUNCT
ejpam-497	43	18	2	2	X
ejpam-497	43	19	)	)	PUNCT
ejpam-497	43	20	is	be	AUX
ejpam-497	43	21	also	also	ADV
ejpam-497	43	22	valid	valid	ADJ
ejpam-497	43	23	for	for	ADP
ejpam-497	43	24	|r|	|r|	PROPN
ejpam-497	43	25	<	<	X
ejpam-497	43	26	1	1	NUM
ejpam-497	43	27	,	,	PUNCT
ejpam-497	43	28	the	the	DET
ejpam-497	43	29	definition	definition	NOUN
ejpam-497	43	30	of	of	ADP
ejpam-497	43	31	the	the	DET
ejpam-497	43	32	operator	operator	NOUN
ejpam-497	43	33	-	-	PUNCT
ejpam-497	43	34	valued	value	VERB
ejpam-497	43	35	poisson	poisson	NOUN
ejpam-497	43	36	kernel	kernel	PROPN
ejpam-497	43	37	kr	kr	PROPN
ejpam-497	43	38	,	,	PUNCT
ejpam-497	43	39	t(t	t(t	NOUN
ejpam-497	43	40	)	)	PUNCT
ejpam-497	43	41	in	in	ADP
ejpam-497	43	42	(	(	PUNCT
ejpam-497	43	43	3	3	X
ejpam-497	43	44	)	)	PUNCT
ejpam-497	43	45	is	be	AUX
ejpam-497	43	46	valid	valid	ADJ
ejpam-497	43	47	for	for	ADP
ejpam-497	43	48	|r|	|r|	PROPN
ejpam-497	43	49	<	<	X
ejpam-497	43	50	1	1	NUM
ejpam-497	43	51	too	too	ADV
ejpam-497	43	52	.	.	PUNCT
ejpam-497	44	1	thus	thus	ADV
ejpam-497	44	2	we	we	PRON
ejpam-497	44	3	have	have	VERB
ejpam-497	44	4	the	the	DET
ejpam-497	44	5	following	follow	VERB
ejpam-497	44	6	definition	definition	NOUN
ejpam-497	44	7	and	and	CCONJ
ejpam-497	44	8	theorem	theorem	ADJ
ejpam-497	44	9	.	.	PROPN
ejpam-497	45	1	definition	definition	NOUN
ejpam-497	45	2	1	1	NUM
ejpam-497	45	3	.	.	PUNCT
ejpam-497	46	1	let	let	VERB
ejpam-497	46	2	t	t	PROPN
ejpam-497	46	3	∈	∈	PROPN
ejpam-497	46	4	l	l	NOUN
ejpam-497	46	5	(	(	PUNCT
ejpam-497	46	6	h	h	NOUN
ejpam-497	46	7	)	)	PUNCT
ejpam-497	46	8	such	such	ADJ
ejpam-497	46	9	that	that	SCONJ
ejpam-497	46	10	σ(t	σ(t	PROPN
ejpam-497	46	11	)	)	PUNCT
ejpam-497	46	12	⊂	⊂	PROPN
ejpam-497	46	13	d.	d.	PROPN
ejpam-497	46	14	the	the	DET
ejpam-497	46	15	operator	operator	NOUN
ejpam-497	46	16	-	-	PUNCT
ejpam-497	46	17	valued	value	VERB
ejpam-497	46	18	poisson	poisson	NOUN
ejpam-497	46	19	kernel	kernel	PROPN
ejpam-497	46	20	is	be	AUX
ejpam-497	46	21	defined	define	VERB
ejpam-497	46	22	by	by	ADP
ejpam-497	46	23	kr	kr	PROPN
ejpam-497	46	24	,	,	PUNCT
ejpam-497	46	25	t(t	t(t	NOUN
ejpam-497	46	26	)	)	PUNCT
ejpam-497	47	1	=	=	SYM
ejpam-497	47	2	(	(	PUNCT
ejpam-497	47	3	i	i	PRON
ejpam-497	47	4	−	−	PROPN
ejpam-497	47	5	rei	rei	PROPN
ejpam-497	47	6	t	t	PROPN
ejpam-497	47	7	t	t	PROPN
ejpam-497	47	8	∗)−1	∗)−1	X
ejpam-497	48	1	+	+	CCONJ
ejpam-497	48	2	(	(	PUNCT
ejpam-497	48	3	i	i	PRON
ejpam-497	48	4	−	−	PROPN
ejpam-497	48	5	re−i	re−i	PROPN
ejpam-497	48	6	t	t	PROPN
ejpam-497	48	7	t	t	PROPN
ejpam-497	48	8	)	)	PUNCT
ejpam-497	48	9	−1	−1	NOUN
ejpam-497	48	10	−	−	PROPN
ejpam-497	49	1	i	i	PRON
ejpam-497	49	2	.	.	PUNCT
ejpam-497	50	1	(	(	PUNCT
ejpam-497	50	2	5	5	X
ejpam-497	50	3	)	)	PUNCT
ejpam-497	50	4	here	here	ADV
ejpam-497	50	5	r	r	NOUN
ejpam-497	50	6	is	be	AUX
ejpam-497	50	7	a	a	DET
ejpam-497	50	8	real	real	ADJ
ejpam-497	50	9	parameter	parameter	NOUN
ejpam-497	50	10	satisfying	satisfy	VERB
ejpam-497	50	11	|r|	|r|	PROPN
ejpam-497	50	12	<	<	X
ejpam-497	50	13	1	1	NUM
ejpam-497	50	14	.	.	PUNCT
ejpam-497	51	1	s.	s.	PROPN
ejpam-497	51	2	bulut	bulut	PROPN
ejpam-497	51	3	/	/	SYM
ejpam-497	51	4	eur	eur	PROPN
ejpam-497	51	5	.	.	PUNCT
ejpam-497	52	1	j.	j.	PROPN
ejpam-497	52	2	pure	pure	PROPN
ejpam-497	52	3	appl	appl	PROPN
ejpam-497	52	4	.	.	PROPN
ejpam-497	52	5	math	math	PROPN
ejpam-497	52	6	,	,	PUNCT
ejpam-497	52	7	4	4	NUM
ejpam-497	52	8	(	(	PUNCT
ejpam-497	52	9	2011	2011	NUM
ejpam-497	52	10	)	)	PUNCT
ejpam-497	52	11	,	,	PUNCT
ejpam-497	52	12	244	244	NUM
ejpam-497	52	13	-	-	SYM
ejpam-497	52	14	250	250	NUM
ejpam-497	52	15	246	246	NUM
ejpam-497	52	16	theorem	theorem	NOUN
ejpam-497	52	17	1	1	X
ejpam-497	52	18	.	.	PUNCT
ejpam-497	53	1	let	let	VERB
ejpam-497	53	2	t	t	PROPN
ejpam-497	53	3	∈	∈	PROPN
ejpam-497	53	4	l	l	NOUN
ejpam-497	53	5	(	(	PUNCT
ejpam-497	53	6	h	h	NOUN
ejpam-497	53	7	)	)	PUNCT
ejpam-497	54	1	such	such	ADJ
ejpam-497	54	2	that	that	SCONJ
ejpam-497	54	3	σ(t	σ(t	PROPN
ejpam-497	54	4	)	)	PUNCT
ejpam-497	54	5	⊂	⊂	PROPN
ejpam-497	54	6	d.	d.	PROPN
ejpam-497	54	7	then	then	ADV
ejpam-497	54	8	we	we	PRON
ejpam-497	54	9	have	have	VERB
ejpam-497	54	10	1	1	NUM
ejpam-497	54	11	2π	2π	PROPN
ejpam-497	54	12	2π	2π	PROPN
ejpam-497	54	13	∫	∫	NOUN
ejpam-497	54	14	0	0	NUM
ejpam-497	55	1	kr	kr	PROPN
ejpam-497	55	2	,	,	PUNCT
ejpam-497	55	3	t(t	t(t	NOUN
ejpam-497	55	4	)	)	PUNCT
ejpam-497	56	1	d	d	NOUN
ejpam-497	56	2	t	t	NOUN
ejpam-497	56	3	=	=	PUNCT
ejpam-497	56	4	i	i	INTJ
ejpam-497	56	5	,	,	PUNCT
ejpam-497	56	6	(	(	PUNCT
ejpam-497	56	7	6	6	NUM
ejpam-497	56	8	)	)	PUNCT
ejpam-497	56	9	where	where	SCONJ
ejpam-497	56	10	r	r	NOUN
ejpam-497	56	11	is	be	AUX
ejpam-497	56	12	a	a	DET
ejpam-497	56	13	real	real	ADJ
ejpam-497	56	14	parameter	parameter	NOUN
ejpam-497	56	15	satisfying	satisfy	VERB
ejpam-497	56	16	|r|	|r|	PROPN
ejpam-497	56	17	<	<	X
ejpam-497	56	18	1	1	NUM
ejpam-497	56	19	.	.	PUNCT
ejpam-497	57	1	the	the	DET
ejpam-497	57	2	purpose	purpose	NOUN
ejpam-497	57	3	of	of	ADP
ejpam-497	57	4	this	this	DET
ejpam-497	57	5	paper	paper	NOUN
ejpam-497	57	6	is	be	AUX
ejpam-497	57	7	to	to	PART
ejpam-497	57	8	give	give	VERB
ejpam-497	57	9	generalizations	generalization	NOUN
ejpam-497	57	10	of	of	ADP
ejpam-497	57	11	(	(	PUNCT
ejpam-497	57	12	5	5	NUM
ejpam-497	57	13	)	)	PUNCT
ejpam-497	57	14	and	and	CCONJ
ejpam-497	57	15	(	(	PUNCT
ejpam-497	57	16	6	6	NUM
ejpam-497	57	17	)	)	PUNCT
ejpam-497	57	18	.	.	PUNCT
ejpam-497	58	1	firstly	firstly	ADV
ejpam-497	58	2	,	,	PUNCT
ejpam-497	58	3	in	in	ADP
ejpam-497	58	4	the	the	DET
ejpam-497	58	5	next	next	ADJ
ejpam-497	58	6	section	section	NOUN
ejpam-497	58	7	we	we	PRON
ejpam-497	58	8	recall	recall	VERB
ejpam-497	58	9	the	the	DET
ejpam-497	58	10	generalization	generalization	NOUN
ejpam-497	58	11	of	of	ADP
ejpam-497	58	12	the	the	DET
ejpam-497	58	13	(	(	PUNCT
ejpam-497	58	14	scalar	scalar	ADJ
ejpam-497	58	15	)	)	PUNCT
ejpam-497	58	16	poisson	poisson	NOUN
ejpam-497	58	17	kernel	kernel	PROPN
ejpam-497	58	18	.	.	PUNCT
ejpam-497	59	1	3	3	X
ejpam-497	59	2	.	.	X
ejpam-497	59	3	the	the	DET
ejpam-497	59	4	generalization	generalization	NOUN
ejpam-497	59	5	of	of	ADP
ejpam-497	59	6	the	the	DET
ejpam-497	59	7	(	(	PUNCT
ejpam-497	59	8	scalar	scalar	ADJ
ejpam-497	59	9	)	)	PUNCT
ejpam-497	59	10	poisson	poisson	NOUN
ejpam-497	59	11	kernel	kernel	NOUN
ejpam-497	59	12	in	in	ADP
ejpam-497	59	13	[	[	X
ejpam-497	59	14	3	3	NUM
ejpam-497	59	15	]	]	PUNCT
ejpam-497	59	16	,	,	PUNCT
ejpam-497	59	17	haruki	haruki	PROPN
ejpam-497	59	18	and	and	CCONJ
ejpam-497	59	19	rassias	rassias	PROPN
ejpam-497	59	20	gave	give	VERB
ejpam-497	59	21	the	the	DET
ejpam-497	59	22	new	new	ADJ
ejpam-497	59	23	generalizations	generalization	NOUN
ejpam-497	59	24	of	of	ADP
ejpam-497	59	25	the	the	DET
ejpam-497	59	26	poisson	poisson	NOUN
ejpam-497	59	27	kernel	kernel	PROPN
ejpam-497	59	28	of	of	ADP
ejpam-497	59	29	the	the	DET
ejpam-497	59	30	form	form	NOUN
ejpam-497	59	31	p(θ	p(θ	PROPN
ejpam-497	59	32	,	,	PUNCT
ejpam-497	59	33	r	r	NOUN
ejpam-497	59	34	)	)	PUNCT
ejpam-497	59	35	=	=	SYM
ejpam-497	59	36	1−	1−	NUM
ejpam-497	59	37	r2	r2	PROPN
ejpam-497	59	38	�	�	PROPN
ejpam-497	59	39	1−	1−	NUM
ejpam-497	59	40	reiθ	reiθ	PROPN
ejpam-497	59	41	�	�	PROPN
ejpam-497	59	42	�	�	PROPN
ejpam-497	59	43	1−	1−	NUM
ejpam-497	59	44	re−iθ	re−iθ	PROPN
ejpam-497	59	45	�	�	PROPN
ejpam-497	59	46	,	,	PUNCT
ejpam-497	59	47	where	where	SCONJ
ejpam-497	59	48	r	r	NOUN
ejpam-497	59	49	is	be	AUX
ejpam-497	59	50	a	a	DET
ejpam-497	59	51	real	real	ADJ
ejpam-497	59	52	parameter	parameter	NOUN
ejpam-497	59	53	satisfying	satisfy	VERB
ejpam-497	59	54	|r|	|r|	NOUN
ejpam-497	59	55	<	<	X
ejpam-497	59	56	1	1	NUM
ejpam-497	59	57	.	.	PUNCT
ejpam-497	59	58	one	one	NUM
ejpam-497	59	59	of	of	ADP
ejpam-497	59	60	this	this	DET
ejpam-497	59	61	generalizations	generalization	NOUN
ejpam-497	59	62	which	which	PRON
ejpam-497	59	63	is	be	AUX
ejpam-497	59	64	taken	take	VERB
ejpam-497	59	65	into	into	ADP
ejpam-497	59	66	consideration	consideration	NOUN
ejpam-497	59	67	by	by	ADP
ejpam-497	59	68	us	we	PRON
ejpam-497	59	69	as	as	SCONJ
ejpam-497	59	70	follows	follow	VERB
ejpam-497	59	71	:	:	PUNCT
ejpam-497	59	72	definition	definition	NOUN
ejpam-497	59	73	2	2	NUM
ejpam-497	59	74	.	.	PUNCT
ejpam-497	59	75	set	set	VERB
ejpam-497	59	76	q	q	PROPN
ejpam-497	59	77	(	(	PUNCT
ejpam-497	59	78	θ	θ	NOUN
ejpam-497	59	79	;	;	PUNCT
ejpam-497	59	80	a	a	DET
ejpam-497	59	81	,	,	PUNCT
ejpam-497	59	82	b	b	NOUN
ejpam-497	59	83	)	)	PUNCT
ejpam-497	59	84	def	def	NOUN
ejpam-497	59	85	=	=	SYM
ejpam-497	59	86	1−	1−	NUM
ejpam-497	59	87	ab	ab	PROPN
ejpam-497	59	88	(	(	PUNCT
ejpam-497	59	89	1−	1−	NUM
ejpam-497	59	90	aeiθ	aeiθ	NOUN
ejpam-497	59	91	)	)	PUNCT
ejpam-497	59	92	(	(	PUNCT
ejpam-497	59	93	1−	1−	NUM
ejpam-497	59	94	be−iθ	be−iθ	NOUN
ejpam-497	59	95	)	)	PUNCT
ejpam-497	59	96	,	,	PUNCT
ejpam-497	59	97	(	(	PUNCT
ejpam-497	59	98	7	7	X
ejpam-497	59	99	)	)	PUNCT
ejpam-497	59	100	where	where	SCONJ
ejpam-497	59	101	a	a	DET
ejpam-497	59	102	,	,	PUNCT
ejpam-497	59	103	b	b	NOUN
ejpam-497	59	104	are	be	AUX
ejpam-497	59	105	complex	complex	ADJ
ejpam-497	59	106	parameters	parameter	NOUN
ejpam-497	59	107	satisfying	satisfy	VERB
ejpam-497	59	108	|a|	|a|	PROPN
ejpam-497	59	109	<	<	X
ejpam-497	59	110	1	1	NUM
ejpam-497	59	111	and	and	CCONJ
ejpam-497	59	112	|b|	|b|	X
ejpam-497	59	113	<	<	X
ejpam-497	60	1	1	1	X
ejpam-497	60	2	.	.	PUNCT
ejpam-497	60	3	then	then	ADV
ejpam-497	60	4	they	they	PRON
ejpam-497	60	5	proved	prove	VERB
ejpam-497	60	6	the	the	DET
ejpam-497	60	7	following	follow	VERB
ejpam-497	60	8	integral	integral	ADJ
ejpam-497	60	9	formula	formula	NOUN
ejpam-497	60	10	for	for	ADP
ejpam-497	60	11	q	q	PROPN
ejpam-497	60	12	(	(	PUNCT
ejpam-497	60	13	θ	θ	NOUN
ejpam-497	60	14	;	;	PUNCT
ejpam-497	60	15	a	a	DET
ejpam-497	60	16	,	,	PUNCT
ejpam-497	60	17	b	b	NOUN
ejpam-497	60	18	)	)	PUNCT
ejpam-497	60	19	.	.	PUNCT
ejpam-497	61	1	theorem	theorem	VERB
ejpam-497	61	2	2	2	NUM
ejpam-497	61	3	.	.	NOUN
ejpam-497	61	4	1	1	NUM
ejpam-497	61	5	2π	2π	PROPN
ejpam-497	61	6	2π	2π	PROPN
ejpam-497	61	7	∫	∫	PROPN
ejpam-497	61	8	0	0	NUM
ejpam-497	62	1	q	q	PROPN
ejpam-497	63	1	(	(	PUNCT
ejpam-497	63	2	θ	θ	NOUN
ejpam-497	63	3	;	;	PUNCT
ejpam-497	63	4	a	a	DET
ejpam-497	63	5	,	,	PUNCT
ejpam-497	63	6	b	b	NOUN
ejpam-497	63	7	)	)	PUNCT
ejpam-497	63	8	dθ	dθ	NOUN
ejpam-497	63	9	=	=	PROPN
ejpam-497	63	10	1	1	NUM
ejpam-497	63	11	,	,	PUNCT
ejpam-497	63	12	where	where	SCONJ
ejpam-497	63	13	a	a	DET
ejpam-497	63	14	,	,	PUNCT
ejpam-497	63	15	b	b	NOUN
ejpam-497	63	16	are	be	AUX
ejpam-497	63	17	complex	complex	ADJ
ejpam-497	63	18	parameters	parameter	NOUN
ejpam-497	63	19	satisfying	satisfy	VERB
ejpam-497	63	20	|a|	|a|	PROPN
ejpam-497	63	21	<	<	X
ejpam-497	63	22	1	1	NUM
ejpam-497	63	23	and	and	CCONJ
ejpam-497	63	24	|b|	|b|	X
ejpam-497	63	25	<	<	X
ejpam-497	63	26	1	1	X
ejpam-497	63	27	.	.	PUNCT
ejpam-497	63	28	remark	remark	NOUN
ejpam-497	63	29	4	4	NUM
ejpam-497	63	30	.	.	PUNCT
ejpam-497	63	31	note	note	VERB
ejpam-497	63	32	that	that	SCONJ
ejpam-497	63	33	we	we	PRON
ejpam-497	63	34	can	can	AUX
ejpam-497	63	35	express	express	VERB
ejpam-497	63	36	the	the	DET
ejpam-497	63	37	generalization	generalization	NOUN
ejpam-497	63	38	of	of	ADP
ejpam-497	63	39	the	the	DET
ejpam-497	63	40	(	(	PUNCT
ejpam-497	63	41	scalar	scalar	ADJ
ejpam-497	63	42	)	)	PUNCT
ejpam-497	63	43	poisson	poisson	NOUN
ejpam-497	63	44	kernel	kernel	PROPN
ejpam-497	63	45	in	in	ADP
ejpam-497	63	46	(	(	PUNCT
ejpam-497	63	47	2	2	NUM
ejpam-497	63	48	)	)	PUNCT
ejpam-497	63	49	as	as	ADP
ejpam-497	63	50	qa	qa	PROPN
ejpam-497	63	51	,	,	PUNCT
ejpam-497	63	52	b	b	PROPN
ejpam-497	63	53	,	,	PUNCT
ejpam-497	63	54	t	t	PROPN
ejpam-497	63	55	�	�	PROPN
ejpam-497	64	1	eiθ	eiθ	PROPN
ejpam-497	64	2	�	�	PROPN
ejpam-497	64	3	=	=	SYM
ejpam-497	64	4	1−	1−	NUM
ejpam-497	64	5	ab	ab	PROPN
ejpam-497	64	6	(	(	PUNCT
ejpam-497	64	7	1−	1−	NUM
ejpam-497	64	8	aei	aei	PROPN
ejpam-497	64	9	t	t	PROPN
ejpam-497	64	10	e−iθ	e−iθ	PROPN
ejpam-497	64	11	)	)	PUNCT
ejpam-497	64	12	(	(	PUNCT
ejpam-497	64	13	1−	1−	NUM
ejpam-497	64	14	be−i	be−i	PROPN
ejpam-497	64	15	t	t	PROPN
ejpam-497	64	16	eiθ	eiθ	PROPN
ejpam-497	64	17	)	)	PUNCT
ejpam-497	64	18	.	.	PUNCT
ejpam-497	65	1	4	4	X
ejpam-497	65	2	.	.	X
ejpam-497	65	3	a	a	DET
ejpam-497	65	4	new	new	ADJ
ejpam-497	65	5	generalization	generalization	NOUN
ejpam-497	65	6	of	of	ADP
ejpam-497	65	7	the	the	DET
ejpam-497	65	8	operator	operator	NOUN
ejpam-497	65	9	-	-	PUNCT
ejpam-497	65	10	valued	value	VERB
ejpam-497	65	11	poisson	poisson	NOUN
ejpam-497	65	12	kernel	kernel	NOUN
ejpam-497	65	13	in	in	ADP
ejpam-497	65	14	this	this	DET
ejpam-497	65	15	section	section	NOUN
ejpam-497	65	16	,	,	PUNCT
ejpam-497	65	17	we	we	PRON
ejpam-497	65	18	shall	shall	AUX
ejpam-497	65	19	treat	treat	VERB
ejpam-497	65	20	generalizations	generalization	NOUN
ejpam-497	65	21	of	of	ADP
ejpam-497	65	22	(	(	PUNCT
ejpam-497	65	23	5	5	NUM
ejpam-497	65	24	)	)	PUNCT
ejpam-497	65	25	and	and	CCONJ
ejpam-497	65	26	(	(	PUNCT
ejpam-497	65	27	6	6	NUM
ejpam-497	65	28	)	)	PUNCT
ejpam-497	65	29	.	.	PUNCT
ejpam-497	66	1	s.	s.	PROPN
ejpam-497	66	2	bulut	bulut	PROPN
ejpam-497	66	3	/	/	SYM
ejpam-497	66	4	eur	eur	PROPN
ejpam-497	66	5	.	.	PUNCT
ejpam-497	67	1	j.	j.	PROPN
ejpam-497	67	2	pure	pure	PROPN
ejpam-497	67	3	appl	appl	PROPN
ejpam-497	67	4	.	.	PROPN
ejpam-497	67	5	math	math	PROPN
ejpam-497	67	6	,	,	PUNCT
ejpam-497	67	7	4	4	NUM
ejpam-497	67	8	(	(	PUNCT
ejpam-497	67	9	2011	2011	NUM
ejpam-497	67	10	)	)	PUNCT
ejpam-497	67	11	,	,	PUNCT
ejpam-497	67	12	244	244	NUM
ejpam-497	67	13	-	-	SYM
ejpam-497	67	14	250	250	NUM
ejpam-497	67	15	247	247	NUM
ejpam-497	67	16	definition	definition	NOUN
ejpam-497	67	17	3	3	NUM
ejpam-497	67	18	.	.	PUNCT
ejpam-497	68	1	for	for	ADP
ejpam-497	68	2	t	t	PROPN
ejpam-497	68	3	∈	∈	PROPN
ejpam-497	68	4	l	l	NOUN
ejpam-497	68	5	(	(	PUNCT
ejpam-497	68	6	h	h	NOUN
ejpam-497	68	7	)	)	PUNCT
ejpam-497	68	8	such	such	ADJ
ejpam-497	68	9	that	that	SCONJ
ejpam-497	68	10	σ(t	σ(t	PROPN
ejpam-497	68	11	)	)	PUNCT
ejpam-497	69	1	⊂	⊂	PROPN
ejpam-497	69	2	d	d	AUX
ejpam-497	69	3	,	,	PUNCT
ejpam-497	69	4	define	define	VERB
ejpam-497	69	5	the	the	DET
ejpam-497	69	6	generalization	generalization	NOUN
ejpam-497	69	7	of	of	ADP
ejpam-497	69	8	the	the	DET
ejpam-497	69	9	operatorvalued	operatorvalue	VERB
ejpam-497	69	10	poisson	poisson	PROPN
ejpam-497	69	11	kernel	kernel	PROPN
ejpam-497	69	12	kr	kr	PROPN
ejpam-497	69	13	,	,	PUNCT
ejpam-497	69	14	t(t	t(t	NOUN
ejpam-497	69	15	)	)	PUNCT
ejpam-497	69	16	in	in	ADP
ejpam-497	69	17	the	the	DET
ejpam-497	69	18	following	following	ADJ
ejpam-497	69	19	way	way	NOUN
ejpam-497	69	20	:	:	PUNCT
ejpam-497	69	21	qa	qa	PROPN
ejpam-497	69	22	,	,	PUNCT
ejpam-497	69	23	b	b	NOUN
ejpam-497	69	24	,	,	PUNCT
ejpam-497	69	25	t(t	t(t	NOUN
ejpam-497	69	26	)	)	PUNCT
ejpam-497	69	27	def	def	NOUN
ejpam-497	69	28	=	=	SYM
ejpam-497	69	29	(	(	PUNCT
ejpam-497	69	30	i	i	PRON
ejpam-497	69	31	−	−	PROPN
ejpam-497	69	32	aei	aei	PROPN
ejpam-497	69	33	t	t	PROPN
ejpam-497	69	34	t	t	PROPN
ejpam-497	70	1	∗)−1	∗)−1	X
ejpam-497	70	2	+	+	PROPN
ejpam-497	70	3	(	(	PUNCT
ejpam-497	70	4	i	i	PRON
ejpam-497	70	5	−	−	PROPN
ejpam-497	70	6	be−i	be−i	PROPN
ejpam-497	70	7	t	t	PROPN
ejpam-497	70	8	t	t	PROPN
ejpam-497	70	9	)	)	PUNCT
ejpam-497	70	10	−1	−1	NOUN
ejpam-497	70	11	−	−	NOUN
ejpam-497	71	1	i	i	PRON
ejpam-497	71	2	,	,	PUNCT
ejpam-497	71	3	(	(	PUNCT
ejpam-497	71	4	8)	8)	NUM
ejpam-497	71	5	where	where	SCONJ
ejpam-497	71	6	a	a	DET
ejpam-497	71	7	,	,	PUNCT
ejpam-497	71	8	b	b	NOUN
ejpam-497	71	9	are	be	AUX
ejpam-497	71	10	complex	complex	ADJ
ejpam-497	71	11	parameters	parameter	NOUN
ejpam-497	71	12	satisfying	satisfy	VERB
ejpam-497	71	13	|a|	|a|	PROPN
ejpam-497	71	14	<	<	X
ejpam-497	71	15	1	1	NUM
ejpam-497	71	16	and	and	CCONJ
ejpam-497	71	17	|b|	|b|	X
ejpam-497	71	18	<	<	X
ejpam-497	71	19	1	1	X
ejpam-497	71	20	.	.	PUNCT
ejpam-497	71	21	remark	remark	NOUN
ejpam-497	71	22	5	5	NUM
ejpam-497	71	23	.	.	PUNCT
ejpam-497	71	24	note	note	VERB
ejpam-497	71	25	that	that	SCONJ
ejpam-497	71	26	qa	qa	PROPN
ejpam-497	71	27	,	,	PUNCT
ejpam-497	71	28	b	b	NOUN
ejpam-497	71	29	,	,	PUNCT
ejpam-497	71	30	t(t	t(t	NOUN
ejpam-497	71	31	)	)	PUNCT
ejpam-497	71	32	∈	∈	PROPN
ejpam-497	71	33	l	l	NOUN
ejpam-497	71	34	(	(	PUNCT
ejpam-497	71	35	h	h	NOUN
ejpam-497	71	36	)	)	PUNCT
ejpam-497	71	37	.	.	PUNCT
ejpam-497	72	1	remark	remark	PROPN
ejpam-497	72	2	6	6	NUM
ejpam-497	72	3	.	.	PUNCT
ejpam-497	72	4	by	by	ADP
ejpam-497	72	5	taking	take	VERB
ejpam-497	72	6	a	a	DET
ejpam-497	72	7	=	=	NOUN
ejpam-497	72	8	r	r	NOUN
ejpam-497	72	9	and	and	CCONJ
ejpam-497	72	10	b	b	NOUN
ejpam-497	72	11	=	=	NOUN
ejpam-497	72	12	r	r	NOUN
ejpam-497	72	13	in	in	ADP
ejpam-497	72	14	(	(	PUNCT
ejpam-497	72	15	8)	8)	NUM
ejpam-497	72	16	,	,	PUNCT
ejpam-497	72	17	we	we	PRON
ejpam-497	72	18	find	find	VERB
ejpam-497	72	19	that	that	SCONJ
ejpam-497	72	20	(	(	PUNCT
ejpam-497	72	21	8)	8)	NUM
ejpam-497	72	22	is	be	AUX
ejpam-497	72	23	a	a	DET
ejpam-497	72	24	generalization	generalization	NOUN
ejpam-497	72	25	of	of	ADP
ejpam-497	72	26	(	(	PUNCT
ejpam-497	72	27	5	5	NUM
ejpam-497	72	28	)	)	PUNCT
ejpam-497	72	29	.	.	PUNCT
ejpam-497	73	1	lemma	lemma	PROPN
ejpam-497	73	2	2	2	X
ejpam-497	73	3	.	.	X
ejpam-497	74	1	we	we	PRON
ejpam-497	74	2	have	have	VERB
ejpam-497	74	3	the	the	DET
ejpam-497	74	4	following	follow	VERB
ejpam-497	74	5	equalities	equality	NOUN
ejpam-497	74	6	:	:	PUNCT
ejpam-497	74	7	�	�	PROPN
ejpam-497	74	8	qa	qa	PROPN
ejpam-497	74	9	,	,	PUNCT
ejpam-497	74	10	b	b	PROPN
ejpam-497	74	11	,	,	PUNCT
ejpam-497	74	12	t(t	t(t	NOUN
ejpam-497	74	13	)	)	PUNCT
ejpam-497	74	14	�	�	NOUN
ejpam-497	74	15	∗	∗	NOUN
ejpam-497	74	16	=	=	SYM
ejpam-497	74	17	q	q	NOUN
ejpam-497	74	18	b̄,ā,t(t	b̄,ā,t(t	NOUN
ejpam-497	74	19	)	)	PUNCT
ejpam-497	74	20	=	=	PUNCT
ejpam-497	75	1	q	q	PROPN
ejpam-497	75	2	ā	ā	NOUN
ejpam-497	75	3	,	,	PUNCT
ejpam-497	75	4	b̄,−t(t	b̄,−t(t	PROPN
ejpam-497	75	5	∗	∗	NOUN
ejpam-497	75	6	)	)	PUNCT
ejpam-497	75	7	.	.	PUNCT
ejpam-497	76	1	lemma	lemma	PROPN
ejpam-497	76	2	3	3	X
ejpam-497	76	3	.	.	PROPN
ejpam-497	77	1	for	for	ADP
ejpam-497	77	2	t	t	PROPN
ejpam-497	77	3	∈	∈	PROPN
ejpam-497	77	4	l	l	NOUN
ejpam-497	77	5	(	(	PUNCT
ejpam-497	77	6	h	h	NOUN
ejpam-497	77	7	)	)	PUNCT
ejpam-497	77	8	such	such	ADJ
ejpam-497	77	9	that	that	SCONJ
ejpam-497	77	10	σ(t	σ(t	PROPN
ejpam-497	77	11	)	)	PUNCT
ejpam-497	78	1	⊂	⊂	PROPN
ejpam-497	78	2	d	d	X
ejpam-497	78	3	,	,	PUNCT
ejpam-497	78	4	we	we	PRON
ejpam-497	78	5	have	have	VERB
ejpam-497	78	6	:	:	PUNCT
ejpam-497	78	7	qa	qa	PROPN
ejpam-497	78	8	,	,	PUNCT
ejpam-497	78	9	b	b	NOUN
ejpam-497	78	10	,	,	PUNCT
ejpam-497	78	11	t(t	t(t	NOUN
ejpam-497	78	12	)	)	PUNCT
ejpam-497	78	13	=	=	SYM
ejpam-497	79	1	(	(	PUNCT
ejpam-497	79	2	i	i	PRON
ejpam-497	79	3	−	−	PROPN
ejpam-497	79	4	aei	aei	PROPN
ejpam-497	79	5	t	t	PROPN
ejpam-497	79	6	t	t	PROPN
ejpam-497	79	7	∗)−1(i	∗)−1(i	NOUN
ejpam-497	79	8	−	−	PROPN
ejpam-497	79	9	abt	abt	ADV
ejpam-497	79	10	∗t	∗t	PROPN
ejpam-497	79	11	)	)	PUNCT
ejpam-497	79	12	(	(	PUNCT
ejpam-497	79	13	i	i	PRON
ejpam-497	79	14	−	−	PROPN
ejpam-497	79	15	be−i	be−i	PROPN
ejpam-497	79	16	t	t	PROPN
ejpam-497	79	17	t	t	PROPN
ejpam-497	79	18	)	)	PUNCT
ejpam-497	79	19	−1	−1	NOUN
ejpam-497	79	20	(	(	PUNCT
ejpam-497	79	21	9	9	NUM
ejpam-497	79	22	)	)	PUNCT
ejpam-497	79	23	=	=	PUNCT
ejpam-497	80	1	(	(	PUNCT
ejpam-497	80	2	i	i	PRON
ejpam-497	80	3	−	−	PROPN
ejpam-497	80	4	be−i	be−i	PROPN
ejpam-497	80	5	t	t	PROPN
ejpam-497	80	6	t	t	PROPN
ejpam-497	80	7	)	)	PUNCT
ejpam-497	80	8	−1(i	−1(i	CCONJ
ejpam-497	80	9	−	−	PROPN
ejpam-497	81	1	abt	abt	INTJ
ejpam-497	82	1	t	t	PROPN
ejpam-497	82	2	∗)(i	∗)(i	NUM
ejpam-497	82	3	−	−	PROPN
ejpam-497	83	1	aei	aei	PROPN
ejpam-497	83	2	t	t	PROPN
ejpam-497	83	3	t	t	PROPN
ejpam-497	83	4	∗)−1	∗)−1	INTJ
ejpam-497	83	5	(	(	PUNCT
ejpam-497	83	6	10	10	NUM
ejpam-497	83	7	)	)	PUNCT
ejpam-497	83	8	=	=	SYM
ejpam-497	83	9	∞	∞	NUM
ejpam-497	83	10	∑	∑	PROPN
ejpam-497	83	11	n=0	n=0	X
ejpam-497	83	12	aneint	aneint	NOUN
ejpam-497	83	13	t	t	PROPN
ejpam-497	83	14	∗n	∗n	PROPN
ejpam-497	83	15	+	+	CCONJ
ejpam-497	84	1	∞	∞	NUM
ejpam-497	84	2	∑	∑	SYM
ejpam-497	84	3	n=0	n=0	NUM
ejpam-497	84	4	bne−int	bne−int	NOUN
ejpam-497	84	5	t	t	NOUN
ejpam-497	84	6	n	n	ADV
ejpam-497	84	7	−	−	PROPN
ejpam-497	85	1	i	i	PRON
ejpam-497	85	2	.	.	PUNCT
ejpam-497	86	1	(	(	PUNCT
ejpam-497	86	2	11	11	NUM
ejpam-497	86	3	)	)	PUNCT
ejpam-497	86	4	proof	proof	NOUN
ejpam-497	86	5	.	.	PUNCT
ejpam-497	87	1	by	by	ADP
ejpam-497	87	2	(	(	PUNCT
ejpam-497	87	3	8)	8)	NUM
ejpam-497	87	4	,	,	PUNCT
ejpam-497	87	5	we	we	PRON
ejpam-497	87	6	get	get	VERB
ejpam-497	87	7	qa	qa	PROPN
ejpam-497	87	8	,	,	PUNCT
ejpam-497	87	9	b	b	NOUN
ejpam-497	87	10	,	,	PUNCT
ejpam-497	87	11	t(t	t(t	NOUN
ejpam-497	87	12	)	)	PUNCT
ejpam-497	88	1	=	=	SYM
ejpam-497	89	1	(	(	PUNCT
ejpam-497	89	2	i	i	PRON
ejpam-497	89	3	−	−	PROPN
ejpam-497	89	4	aei	aei	PROPN
ejpam-497	89	5	t	t	PROPN
ejpam-497	89	6	t	t	PROPN
ejpam-497	89	7	∗)−1	∗)−1	X
ejpam-497	90	1	+	+	CCONJ
ejpam-497	90	2	(	(	PUNCT
ejpam-497	90	3	i	i	PRON
ejpam-497	90	4	−	−	PROPN
ejpam-497	90	5	be−i	be−i	PROPN
ejpam-497	90	6	t	t	PROPN
ejpam-497	90	7	t	t	PROPN
ejpam-497	90	8	)	)	PUNCT
ejpam-497	90	9	−1	−1	NOUN
ejpam-497	90	10	−	−	NOUN
ejpam-497	91	1	i	i	PRON
ejpam-497	91	2	=	=	PUNCT
ejpam-497	92	1	(	(	PUNCT
ejpam-497	92	2	i	i	PRON
ejpam-497	92	3	−	−	PROPN
ejpam-497	92	4	aei	aei	PROPN
ejpam-497	92	5	t	t	PROPN
ejpam-497	92	6	t	t	PROPN
ejpam-497	92	7	∗)−1	∗)−1	INTJ
ejpam-497	92	8	�	�	PROPN
ejpam-497	92	9	i	i	PRON
ejpam-497	92	10	+	+	X
ejpam-497	93	1	(	(	PUNCT
ejpam-497	93	2	i	i	PRON
ejpam-497	93	3	−	−	PROPN
ejpam-497	93	4	aei	aei	PROPN
ejpam-497	93	5	t	t	PROPN
ejpam-497	93	6	t	t	PROPN
ejpam-497	93	7	∗)(i	∗)(i	NUM
ejpam-497	93	8	−	−	PROPN
ejpam-497	93	9	be−i	be−i	PROPN
ejpam-497	93	10	t	t	PROPN
ejpam-497	93	11	t	t	PROPN
ejpam-497	93	12	)	)	PUNCT
ejpam-497	93	13	−1	−1	NOUN
ejpam-497	93	14	−	−	PROPN
ejpam-497	94	1	(	(	PUNCT
ejpam-497	94	2	i	i	PRON
ejpam-497	94	3	−	−	PROPN
ejpam-497	94	4	aei	aei	PROPN
ejpam-497	94	5	t	t	PROPN
ejpam-497	94	6	t	t	PROPN
ejpam-497	94	7	∗	∗	PROPN
ejpam-497	94	8	)	)	PUNCT
ejpam-497	94	9	�	�	PROPN
ejpam-497	94	10	=	=	SYM
ejpam-497	94	11	(	(	PUNCT
ejpam-497	94	12	i	i	PRON
ejpam-497	94	13	−	−	PROPN
ejpam-497	94	14	aei	aei	PROPN
ejpam-497	94	15	t	t	PROPN
ejpam-497	94	16	t	t	PROPN
ejpam-497	94	17	∗)−1	∗)−1	INTJ
ejpam-497	94	18	�	�	PROPN
ejpam-497	94	19	(	(	PUNCT
ejpam-497	94	20	i	i	PRON
ejpam-497	94	21	−	−	PROPN
ejpam-497	94	22	be−i	be−i	PROPN
ejpam-497	94	23	t	t	PROPN
ejpam-497	94	24	t	t	PROPN
ejpam-497	94	25	)	)	PUNCT
ejpam-497	95	1	+	+	CCONJ
ejpam-497	95	2	(	(	PUNCT
ejpam-497	95	3	i	i	PRON
ejpam-497	95	4	−	−	PROPN
ejpam-497	95	5	aei	aei	PROPN
ejpam-497	95	6	t	t	PROPN
ejpam-497	95	7	t	t	PROPN
ejpam-497	95	8	∗)−	∗)−	ADP
ejpam-497	95	9	(	(	PUNCT
ejpam-497	95	10	i	i	PRON
ejpam-497	95	11	−	−	PROPN
ejpam-497	95	12	aei	aei	PROPN
ejpam-497	95	13	t	t	PROPN
ejpam-497	95	14	t	t	PROPN
ejpam-497	95	15	∗)(i	∗)(i	NUM
ejpam-497	95	16	−	−	PROPN
ejpam-497	95	17	be−i	be−i	PROPN
ejpam-497	95	18	t	t	PROPN
ejpam-497	95	19	t	t	PROPN
ejpam-497	95	20	)	)	PUNCT
ejpam-497	95	21	�	�	PROPN
ejpam-497	95	22	(	(	PUNCT
ejpam-497	95	23	i	i	PRON
ejpam-497	95	24	−	−	PROPN
ejpam-497	95	25	be−i	be−i	PROPN
ejpam-497	95	26	t	t	PROPN
ejpam-497	95	27	t	t	PROPN
ejpam-497	95	28	)	)	PUNCT
ejpam-497	95	29	−1	−1	NOUN
ejpam-497	95	30	=	=	SYM
ejpam-497	95	31	(	(	PUNCT
ejpam-497	95	32	i	i	PRON
ejpam-497	95	33	−	−	PROPN
ejpam-497	95	34	aei	aei	PROPN
ejpam-497	95	35	t	t	PROPN
ejpam-497	95	36	t	t	PROPN
ejpam-497	95	37	∗)−1(i	∗)−1(i	NOUN
ejpam-497	95	38	−	−	PROPN
ejpam-497	95	39	abt	abt	ADV
ejpam-497	95	40	∗t	∗t	PROPN
ejpam-497	95	41	)	)	PUNCT
ejpam-497	95	42	(	(	PUNCT
ejpam-497	95	43	i	i	PRON
ejpam-497	95	44	−	−	PROPN
ejpam-497	95	45	be−i	be−i	PROPN
ejpam-497	95	46	t	t	PROPN
ejpam-497	95	47	t	t	PROPN
ejpam-497	95	48	)	)	PUNCT
ejpam-497	95	49	−1	−1	NOUN
ejpam-497	95	50	.	.	PUNCT
ejpam-497	96	1	thus	thus	ADV
ejpam-497	96	2	we	we	PRON
ejpam-497	96	3	obtain	obtain	VERB
ejpam-497	96	4	(	(	PUNCT
ejpam-497	96	5	9	9	NUM
ejpam-497	96	6	)	)	PUNCT
ejpam-497	96	7	.	.	PUNCT
ejpam-497	97	1	similarly	similarly	ADV
ejpam-497	97	2	,	,	PUNCT
ejpam-497	97	3	the	the	DET
ejpam-497	97	4	equality	equality	NOUN
ejpam-497	97	5	qa	qa	PROPN
ejpam-497	97	6	,	,	PUNCT
ejpam-497	97	7	b	b	NOUN
ejpam-497	97	8	,	,	PUNCT
ejpam-497	97	9	t(t	t(t	NOUN
ejpam-497	97	10	)	)	PUNCT
ejpam-497	97	11	=	=	SYM
ejpam-497	98	1	(	(	PUNCT
ejpam-497	98	2	i	i	PRON
ejpam-497	98	3	−	−	PROPN
ejpam-497	98	4	be−i	be−i	PROPN
ejpam-497	98	5	t	t	PROPN
ejpam-497	98	6	t	t	PROPN
ejpam-497	98	7	)	)	PUNCT
ejpam-497	98	8	−1	−1	NOUN
ejpam-497	99	1	+	+	CCONJ
ejpam-497	99	2	(	(	PUNCT
ejpam-497	99	3	i	i	PRON
ejpam-497	99	4	−	−	PROPN
ejpam-497	99	5	aei	aei	PROPN
ejpam-497	99	6	t	t	PROPN
ejpam-497	99	7	t	t	PROPN
ejpam-497	99	8	∗)−1	∗)−1	INTJ
ejpam-497	99	9	−	−	NOUN
ejpam-497	99	10	i	i	PRON
ejpam-497	99	11	gives	give	VERB
ejpam-497	99	12	proof	proof	NOUN
ejpam-497	99	13	of	of	ADP
ejpam-497	99	14	(	(	PUNCT
ejpam-497	99	15	10	10	NUM
ejpam-497	99	16	)	)	PUNCT
ejpam-497	99	17	.	.	PUNCT
ejpam-497	100	1	on	on	ADP
ejpam-497	100	2	the	the	DET
ejpam-497	100	3	other	other	ADJ
ejpam-497	100	4	hand	hand	NOUN
ejpam-497	100	5	,	,	PUNCT
ejpam-497	100	6	since	since	SCONJ
ejpam-497	100	7	aei	aei	PROPN
ejpam-497	100	8	t	t	PROPN
ejpam-497	100	9	t	t	PROPN
ejpam-497	100	10	∗	∗	NOUN
ejpam-497	100	11	<	<	X
ejpam-497	100	12	1	1	NUM
ejpam-497	100	13	and	and	CCONJ
ejpam-497	100	14	be−i	be−i	PROPN
ejpam-497	100	15	t	t	PROPN
ejpam-497	100	16	t	t	PROPN
ejpam-497	100	17	<	<	X
ejpam-497	100	18	1	1	NUM
ejpam-497	100	19	,	,	PUNCT
ejpam-497	100	20	we	we	PRON
ejpam-497	100	21	have	have	VERB
ejpam-497	100	22	∞	∞	PROPN
ejpam-497	100	23	∑	∑	PROPN
ejpam-497	100	24	n=0	n=0	X
ejpam-497	100	25	aneint	aneint	NOUN
ejpam-497	100	26	t	t	PROPN
ejpam-497	100	27	∗n	∗n	PROPN
ejpam-497	100	28	=	=	SYM
ejpam-497	100	29	(	(	PUNCT
ejpam-497	100	30	i	i	PRON
ejpam-497	100	31	−	−	PROPN
ejpam-497	101	1	aei	aei	PROPN
ejpam-497	101	2	t	t	PROPN
ejpam-497	101	3	t	t	PROPN
ejpam-497	101	4	∗)−1	∗)−1	X
ejpam-497	101	5	and	and	CCONJ
ejpam-497	101	6	∞	∞	NUM
ejpam-497	101	7	∑	∑	SYM
ejpam-497	101	8	n=0	n=0	NUM
ejpam-497	101	9	bne−int	bne−int	NOUN
ejpam-497	101	10	t	t	NOUN
ejpam-497	101	11	n	n	NOUN
ejpam-497	101	12	=	=	PUNCT
ejpam-497	102	1	(	(	PUNCT
ejpam-497	102	2	i	i	PRON
ejpam-497	102	3	−	−	PROPN
ejpam-497	102	4	be−i	be−i	PROPN
ejpam-497	102	5	t	t	PROPN
ejpam-497	102	6	t	t	PROPN
ejpam-497	102	7	)	)	PUNCT
ejpam-497	102	8	−1	−1	NOUN
ejpam-497	102	9	,	,	PUNCT
ejpam-497	102	10	respectively	respectively	ADV
ejpam-497	102	11	[	[	X
ejpam-497	102	12	see	see	VERB
ejpam-497	102	13	4	4	NUM
ejpam-497	102	14	,	,	PUNCT
ejpam-497	102	15	theorem	theorem	VERB
ejpam-497	102	16	7.10	7.10	NUM
ejpam-497	102	17	]	]	PUNCT
ejpam-497	102	18	.	.	PUNCT
ejpam-497	103	1	by	by	ADP
ejpam-497	103	2	the	the	DET
ejpam-497	103	3	last	last	ADJ
ejpam-497	103	4	two	two	NUM
ejpam-497	103	5	equalities	equality	NOUN
ejpam-497	103	6	above	above	ADV
ejpam-497	103	7	and	and	CCONJ
ejpam-497	103	8	(	(	PUNCT
ejpam-497	103	9	8)	8)	NUM
ejpam-497	103	10	,	,	PUNCT
ejpam-497	103	11	we	we	PRON
ejpam-497	103	12	get	get	VERB
ejpam-497	103	13	(	(	PUNCT
ejpam-497	103	14	11	11	NUM
ejpam-497	103	15	)	)	PUNCT
ejpam-497	103	16	.	.	PUNCT
ejpam-497	104	1	s.	s.	PROPN
ejpam-497	104	2	bulut	bulut	PROPN
ejpam-497	104	3	/	/	SYM
ejpam-497	104	4	eur	eur	PROPN
ejpam-497	104	5	.	.	PUNCT
ejpam-497	105	1	j.	j.	PROPN
ejpam-497	105	2	pure	pure	PROPN
ejpam-497	105	3	appl	appl	PROPN
ejpam-497	105	4	.	.	PROPN
ejpam-497	105	5	math	math	PROPN
ejpam-497	105	6	,	,	PUNCT
ejpam-497	105	7	4	4	NUM
ejpam-497	105	8	(	(	PUNCT
ejpam-497	105	9	2011	2011	NUM
ejpam-497	105	10	)	)	PUNCT
ejpam-497	105	11	,	,	PUNCT
ejpam-497	105	12	244	244	NUM
ejpam-497	105	13	-	-	SYM
ejpam-497	105	14	250	250	NUM
ejpam-497	105	15	248	248	NUM
ejpam-497	105	16	lemma	lemma	PROPN
ejpam-497	105	17	4	4	X
ejpam-497	105	18	.	.	PUNCT
ejpam-497	106	1	let	let	VERB
ejpam-497	106	2	t	t	PROPN
ejpam-497	106	3	∈	∈	PROPN
ejpam-497	106	4	l	l	NOUN
ejpam-497	106	5	(	(	PUNCT
ejpam-497	106	6	h	h	NOUN
ejpam-497	106	7	)	)	PUNCT
ejpam-497	106	8	such	such	ADJ
ejpam-497	106	9	that	that	SCONJ
ejpam-497	106	10	σ(t	σ(t	PROPN
ejpam-497	106	11	)	)	PUNCT
ejpam-497	106	12	⊂	⊂	PROPN
ejpam-497	106	13	d.	d.	PROPN
ejpam-497	106	14	then	then	ADV
ejpam-497	106	15	‖t‖	‖t‖	PROPN
ejpam-497	106	16	≤	≤	NUM
ejpam-497	106	17	1	1	NUM
ejpam-497	106	18	⇐	⇐	ADJ
ejpam-497	106	19	⇒	⇒	NOUN
ejpam-497	106	20	qa	qa	NOUN
ejpam-497	106	21	,	,	PUNCT
ejpam-497	106	22	ā,t(t	ā,t(t	NOUN
ejpam-497	106	23	)	)	PUNCT
ejpam-497	106	24	≥	≥	NOUN
ejpam-497	106	25	0	0	NUM
ejpam-497	106	26	.	.	PUNCT
ejpam-497	107	1	proof	proof	NOUN
ejpam-497	107	2	.	.	PUNCT
ejpam-497	108	1	the	the	DET
ejpam-497	108	2	proof	proof	NOUN
ejpam-497	108	3	is	be	AUX
ejpam-497	108	4	same	same	ADJ
ejpam-497	108	5	as	as	ADP
ejpam-497	108	6	proof	proof	NOUN
ejpam-497	108	7	of	of	ADP
ejpam-497	108	8	the	the	DET
ejpam-497	108	9	lemma	lemma	PROPN
ejpam-497	108	10	2.4	2.4	NUM
ejpam-497	108	11	in	in	ADP
ejpam-497	108	12	[	[	X
ejpam-497	108	13	1	1	NUM
ejpam-497	108	14	]	]	PUNCT
ejpam-497	108	15	.	.	PUNCT
ejpam-497	109	1	now	now	ADV
ejpam-497	109	2	we	we	PRON
ejpam-497	109	3	give	give	VERB
ejpam-497	109	4	a	a	DET
ejpam-497	109	5	similar	similar	ADJ
ejpam-497	109	6	result	result	NOUN
ejpam-497	109	7	to	to	ADP
ejpam-497	109	8	lemma	lemma	PROPN
ejpam-497	109	9	1	1	NUM
ejpam-497	109	10	by	by	ADP
ejpam-497	109	11	means	mean	NOUN
ejpam-497	109	12	of	of	ADP
ejpam-497	109	13	(	(	PUNCT
ejpam-497	109	14	11	11	NUM
ejpam-497	109	15	)	)	PUNCT
ejpam-497	109	16	.	.	PUNCT
ejpam-497	110	1	lemma	lemma	PROPN
ejpam-497	110	2	5	5	X
ejpam-497	110	3	.	.	PUNCT
ejpam-497	111	1	let	let	VERB
ejpam-497	111	2	t	t	PROPN
ejpam-497	111	3	∈	∈	PROPN
ejpam-497	111	4	l	l	NOUN
ejpam-497	111	5	(	(	PUNCT
ejpam-497	111	6	h	h	NOUN
ejpam-497	111	7	)	)	PUNCT
ejpam-497	111	8	such	such	ADJ
ejpam-497	111	9	that	that	SCONJ
ejpam-497	111	10	σ(t	σ(t	PROPN
ejpam-497	111	11	)	)	PUNCT
ejpam-497	111	12	⊂	⊂	PROPN
ejpam-497	111	13	d.	d.	PROPN
ejpam-497	111	14	for	for	ADP
ejpam-497	111	15	q(z	q(z	PROPN
ejpam-497	111	16	)	)	PUNCT
ejpam-497	111	17	∈	∈	PROPN
ejpam-497	112	1	c	c	NOUN
ejpam-497	113	1	[	[	X
ejpam-497	113	2	z]|d	z]|d	NUM
ejpam-497	113	3	,	,	PUNCT
ejpam-497	113	4	we	we	PRON
ejpam-497	113	5	have	have	VERB
ejpam-497	113	6	q(bt	q(bt	NOUN
ejpam-497	113	7	)	)	PUNCT
ejpam-497	113	8	=	=	SYM
ejpam-497	114	1	1	1	NUM
ejpam-497	114	2	2π	2π	NUM
ejpam-497	114	3	2π	2π	PROPN
ejpam-497	114	4	∫	∫	X
ejpam-497	114	5	0	0	NUM
ejpam-497	115	1	q(ei	q(ei	PROPN
ejpam-497	115	2	t)qa	t)qa	PROPN
ejpam-497	115	3	,	,	PUNCT
ejpam-497	115	4	b	b	NOUN
ejpam-497	115	5	,	,	PUNCT
ejpam-497	115	6	t(t	t(t	NOUN
ejpam-497	115	7	)	)	PUNCT
ejpam-497	115	8	d	d	SYM
ejpam-497	115	9	t	t	PROPN
ejpam-497	115	10	,	,	PUNCT
ejpam-497	115	11	where	where	SCONJ
ejpam-497	115	12	a	a	DET
ejpam-497	115	13	,	,	PUNCT
ejpam-497	115	14	b	b	NOUN
ejpam-497	115	15	are	be	AUX
ejpam-497	115	16	complex	complex	ADJ
ejpam-497	115	17	parameters	parameter	NOUN
ejpam-497	115	18	satisfying	satisfy	VERB
ejpam-497	115	19	|a|	|a|	PROPN
ejpam-497	115	20	<	<	X
ejpam-497	115	21	1	1	NUM
ejpam-497	115	22	and	and	CCONJ
ejpam-497	115	23	|b|	|b|	X
ejpam-497	115	24	<	<	X
ejpam-497	115	25	1	1	X
ejpam-497	115	26	.	.	PUNCT
ejpam-497	115	27	proof	proof	NOUN
ejpam-497	115	28	.	.	PUNCT
ejpam-497	116	1	let	let	VERB
ejpam-497	116	2	q(z	q(z	NUM
ejpam-497	116	3	)	)	PUNCT
ejpam-497	116	4	=	=	SYM
ejpam-497	116	5	n	n	PROPN
ejpam-497	116	6	∑	∑	ADP
ejpam-497	116	7	k=0	k=0	PROPN
ejpam-497	116	8	akzk	akzk	NOUN
ejpam-497	116	9	.	.	PUNCT
ejpam-497	117	1	using	use	VERB
ejpam-497	117	2	(	(	PUNCT
ejpam-497	117	3	11	11	NUM
ejpam-497	117	4	)	)	PUNCT
ejpam-497	117	5	and	and	CCONJ
ejpam-497	117	6	considering	consider	VERB
ejpam-497	117	7	the	the	DET
ejpam-497	117	8	equality	equality	NOUN
ejpam-497	117	9	∫	∫	PROPN
ejpam-497	117	10	2π	2π	PROPN
ejpam-497	117	11	0	0	NUM
ejpam-497	117	12	eimt	eimt	ADJ
ejpam-497	117	13	d	d	X
ejpam-497	117	14	t	t	NOUN
ejpam-497	117	15	=	=	SYM
ejpam-497	117	16	0	0	NUM
ejpam-497	118	1	for	for	ADP
ejpam-497	118	2	m	m	PROPN
ejpam-497	118	3	∈	∈	PROPN
ejpam-497	118	4	z\{0	z\{0	NOUN
ejpam-497	118	5	}	}	PUNCT
ejpam-497	118	6	,	,	PUNCT
ejpam-497	118	7	we	we	PRON
ejpam-497	118	8	obtain	obtain	VERB
ejpam-497	118	9	1	1	NUM
ejpam-497	118	10	2π	2π	PROPN
ejpam-497	118	11	2π	2π	PROPN
ejpam-497	118	12	∫	∫	X
ejpam-497	118	13	0	0	NUM
ejpam-497	119	1	q(ei	q(ei	PROPN
ejpam-497	119	2	t)qa	t)qa	PROPN
ejpam-497	119	3	,	,	PUNCT
ejpam-497	119	4	b	b	NOUN
ejpam-497	119	5	,	,	PUNCT
ejpam-497	119	6	t(t	t(t	NOUN
ejpam-497	119	7	)	)	PUNCT
ejpam-497	119	8	d	d	NOUN
ejpam-497	119	9	t	t	NOUN
ejpam-497	119	10	=	=	SYM
ejpam-497	119	11	1	1	NUM
ejpam-497	119	12	2π	2π	PROPN
ejpam-497	119	13	2π	2π	PROPN
ejpam-497	119	14	∫	∫	PROPN
ejpam-497	119	15	0	0	SYM
ejpam-497	120	1	n	n	CCONJ
ejpam-497	120	2	∑	∑	ADP
ejpam-497	120	3	k=0	k=0	PROPN
ejpam-497	120	4	ak	ak	PROPN
ejpam-497	120	5	bkt	bkt	PROPN
ejpam-497	120	6	k	k	PROPN
ejpam-497	120	7	!	!	PUNCT
ejpam-497	121	1	d	d	X
ejpam-497	121	2	t	t	NOUN
ejpam-497	121	3	=	=	SYM
ejpam-497	121	4	n	n	PROPN
ejpam-497	121	5	∑	∑	ADP
ejpam-497	121	6	k=0	k=0	PROPN
ejpam-497	121	7	ak	ak	PROPN
ejpam-497	121	8	bkt	bkt	PROPN
ejpam-497	121	9	k	k	PROPN
ejpam-497	122	1	=	=	SYM
ejpam-497	122	2	q(bt	q(bt	PROPN
ejpam-497	122	3	)	)	PUNCT
ejpam-497	122	4	.	.	PUNCT
ejpam-497	123	1	corollary	corollary	ADJ
ejpam-497	123	2	1	1	NUM
ejpam-497	123	3	.	.	PUNCT
ejpam-497	123	4	note	note	VERB
ejpam-497	123	5	that	that	SCONJ
ejpam-497	123	6	in	in	ADP
ejpam-497	123	7	the	the	DET
ejpam-497	123	8	case	case	NOUN
ejpam-497	123	9	q	q	X
ejpam-497	123	10	identically	identically	ADV
ejpam-497	123	11	equal	equal	ADJ
ejpam-497	123	12	to	to	ADP
ejpam-497	123	13	1	1	NUM
ejpam-497	123	14	we	we	PRON
ejpam-497	123	15	have	have	VERB
ejpam-497	123	16	1	1	NUM
ejpam-497	123	17	2π	2π	PROPN
ejpam-497	123	18	2π	2π	PROPN
ejpam-497	123	19	∫	∫	NOUN
ejpam-497	123	20	0	0	NUM
ejpam-497	124	1	qa	qa	PROPN
ejpam-497	124	2	,	,	PUNCT
ejpam-497	124	3	b	b	NOUN
ejpam-497	124	4	,	,	PUNCT
ejpam-497	124	5	t(t	t(t	NOUN
ejpam-497	124	6	)	)	PUNCT
ejpam-497	125	1	d	d	NOUN
ejpam-497	125	2	t	t	NOUN
ejpam-497	125	3	=	=	PUNCT
ejpam-497	125	4	i	i	INTJ
ejpam-497	125	5	.	.	PUNCT
ejpam-497	126	1	(	(	PUNCT
ejpam-497	126	2	12	12	NUM
ejpam-497	126	3	)	)	PUNCT
ejpam-497	126	4	now	now	ADV
ejpam-497	126	5	we	we	PRON
ejpam-497	126	6	give	give	VERB
ejpam-497	126	7	another	another	DET
ejpam-497	126	8	proof	proof	NOUN
ejpam-497	126	9	of	of	ADP
ejpam-497	126	10	(	(	PUNCT
ejpam-497	126	11	12	12	NUM
ejpam-497	126	12	)	)	PUNCT
ejpam-497	126	13	independently	independently	ADV
ejpam-497	126	14	a	a	DET
ejpam-497	126	15	polynomial	polynomial	NOUN
ejpam-497	126	16	.	.	PUNCT
ejpam-497	127	1	for	for	ADP
ejpam-497	127	2	this	this	DET
ejpam-497	127	3	purpose	purpose	NOUN
ejpam-497	127	4	we	we	PRON
ejpam-497	127	5	will	will	AUX
ejpam-497	127	6	use	use	VERB
ejpam-497	127	7	the	the	DET
ejpam-497	127	8	riesz	riesz	PROPN
ejpam-497	127	9	-	-	PUNCT
ejpam-497	127	10	dunford	dunford	NOUN
ejpam-497	127	11	integral	integral	ADJ
ejpam-497	127	12	.	.	PUNCT
ejpam-497	128	1	theorem	theorem	NOUN
ejpam-497	128	2	3	3	NUM
ejpam-497	128	3	.	.	X
ejpam-497	129	1	for	for	ADP
ejpam-497	129	2	t	t	PROPN
ejpam-497	129	3	∈	∈	PROPN
ejpam-497	129	4	l	l	NOUN
ejpam-497	129	5	(	(	PUNCT
ejpam-497	129	6	h	h	NOUN
ejpam-497	129	7	)	)	PUNCT
ejpam-497	130	1	such	such	ADJ
ejpam-497	130	2	that	that	SCONJ
ejpam-497	130	3	σ(t	σ(t	PROPN
ejpam-497	130	4	)	)	PUNCT
ejpam-497	130	5	⊂	⊂	PROPN
ejpam-497	130	6	d	d	X
ejpam-497	130	7	,	,	PUNCT
ejpam-497	130	8	we	we	PRON
ejpam-497	130	9	have	have	VERB
ejpam-497	130	10	1	1	NUM
ejpam-497	130	11	2π	2π	PROPN
ejpam-497	130	12	2π	2π	PROPN
ejpam-497	130	13	∫	∫	NOUN
ejpam-497	130	14	0	0	NUM
ejpam-497	130	15	qa	qa	PROPN
ejpam-497	130	16	,	,	PUNCT
ejpam-497	130	17	b	b	NOUN
ejpam-497	130	18	,	,	PUNCT
ejpam-497	130	19	t(t	t(t	NOUN
ejpam-497	130	20	)	)	PUNCT
ejpam-497	130	21	d	d	NOUN
ejpam-497	130	22	t	t	NOUN
ejpam-497	130	23	=	=	PUNCT
ejpam-497	130	24	i	i	INTJ
ejpam-497	130	25	,	,	PUNCT
ejpam-497	130	26	(	(	PUNCT
ejpam-497	130	27	13	13	NUM
ejpam-497	130	28	)	)	PUNCT
ejpam-497	130	29	where	where	SCONJ
ejpam-497	130	30	a	a	DET
ejpam-497	130	31	,	,	PUNCT
ejpam-497	130	32	b	b	NOUN
ejpam-497	130	33	are	be	AUX
ejpam-497	130	34	complex	complex	ADJ
ejpam-497	130	35	parameters	parameter	NOUN
ejpam-497	130	36	satisfying	satisfy	VERB
ejpam-497	130	37	|a|	|a|	PROPN
ejpam-497	130	38	<	<	X
ejpam-497	130	39	1	1	NUM
ejpam-497	130	40	and	and	CCONJ
ejpam-497	130	41	|b|	|b|	X
ejpam-497	130	42	<	<	X
ejpam-497	131	1	1	1	X
ejpam-497	131	2	.	.	PUNCT
ejpam-497	131	3	s.	s.	PROPN
ejpam-497	131	4	bulut	bulut	PROPN
ejpam-497	131	5	/	/	SYM
ejpam-497	131	6	eur	eur	PROPN
ejpam-497	131	7	.	.	PUNCT
ejpam-497	132	1	j.	j.	PROPN
ejpam-497	132	2	pure	pure	PROPN
ejpam-497	132	3	appl	appl	PROPN
ejpam-497	132	4	.	.	PROPN
ejpam-497	132	5	math	math	PROPN
ejpam-497	132	6	,	,	PUNCT
ejpam-497	132	7	4	4	NUM
ejpam-497	132	8	(	(	PUNCT
ejpam-497	132	9	2011	2011	NUM
ejpam-497	132	10	)	)	PUNCT
ejpam-497	132	11	,	,	PUNCT
ejpam-497	132	12	244	244	NUM
ejpam-497	132	13	-	-	SYM
ejpam-497	132	14	250	250	NUM
ejpam-497	132	15	249	249	NUM
ejpam-497	132	16	proof	proof	NOUN
ejpam-497	132	17	.	.	PUNCT
ejpam-497	133	1	by	by	ADP
ejpam-497	133	2	(	(	PUNCT
ejpam-497	133	3	8)	8)	NUM
ejpam-497	133	4	,	,	PUNCT
ejpam-497	133	5	we	we	PRON
ejpam-497	133	6	have	have	VERB
ejpam-497	133	7	1	1	NUM
ejpam-497	133	8	2π	2π	PROPN
ejpam-497	133	9	2π	2π	PROPN
ejpam-497	133	10	∫	∫	NOUN
ejpam-497	133	11	0	0	NUM
ejpam-497	133	12	qa	qa	PROPN
ejpam-497	133	13	,	,	PUNCT
ejpam-497	133	14	b	b	NOUN
ejpam-497	133	15	,	,	PUNCT
ejpam-497	133	16	t(t	t(t	NOUN
ejpam-497	133	17	)	)	PUNCT
ejpam-497	133	18	d	d	NOUN
ejpam-497	133	19	t	t	NOUN
ejpam-497	133	20	=	=	SYM
ejpam-497	133	21	1	1	NUM
ejpam-497	133	22	2π	2π	PROPN
ejpam-497	133	23	2π	2π	PROPN
ejpam-497	133	24	∫	∫	NOUN
ejpam-497	133	25	0	0	PROPN
ejpam-497	133	26	�	�	PROPN
ejpam-497	134	1	(	(	PUNCT
ejpam-497	134	2	i	i	PRON
ejpam-497	134	3	−	−	PROPN
ejpam-497	134	4	aei	aei	PROPN
ejpam-497	134	5	t	t	PROPN
ejpam-497	134	6	t	t	PROPN
ejpam-497	134	7	∗)−1	∗)−1	X
ejpam-497	135	1	+	+	CCONJ
ejpam-497	135	2	(	(	PUNCT
ejpam-497	135	3	i	i	PRON
ejpam-497	135	4	−	−	PROPN
ejpam-497	135	5	be−i	be−i	PROPN
ejpam-497	135	6	t	t	PROPN
ejpam-497	135	7	t	t	PROPN
ejpam-497	135	8	)	)	PUNCT
ejpam-497	135	9	−1−	−1−	PROPN
ejpam-497	136	1	i	i	PRON
ejpam-497	136	2	�	�	PROPN
ejpam-497	137	1	d	d	NOUN
ejpam-497	137	2	t.	t.	PROPN
ejpam-497	137	3	(	(	PUNCT
ejpam-497	137	4	14	14	NUM
ejpam-497	137	5	)	)	PUNCT
ejpam-497	137	6	we	we	PRON
ejpam-497	137	7	set	set	VERB
ejpam-497	137	8	i1	i1	PROPN
ejpam-497	137	9	=	=	PUNCT
ejpam-497	137	10	1	1	NUM
ejpam-497	137	11	2π	2π	PROPN
ejpam-497	137	12	2π	2π	PROPN
ejpam-497	137	13	∫	∫	X
ejpam-497	137	14	0	0	PUNCT
ejpam-497	138	1	(	(	PUNCT
ejpam-497	138	2	i	i	PRON
ejpam-497	138	3	−	−	PROPN
ejpam-497	138	4	aei	aei	PROPN
ejpam-497	138	5	t	t	PROPN
ejpam-497	138	6	t	t	PROPN
ejpam-497	138	7	∗)−1d	∗)−1d	PROPN
ejpam-497	138	8	t	t	PROPN
ejpam-497	138	9	,	,	PUNCT
ejpam-497	138	10	(	(	PUNCT
ejpam-497	138	11	15	15	NUM
ejpam-497	138	12	)	)	PUNCT
ejpam-497	138	13	i2	i2	NOUN
ejpam-497	138	14	=	=	SYM
ejpam-497	138	15	1	1	NUM
ejpam-497	138	16	2π	2π	PROPN
ejpam-497	138	17	2π	2π	PROPN
ejpam-497	138	18	∫	∫	X
ejpam-497	138	19	0	0	PUNCT
ejpam-497	139	1	(	(	PUNCT
ejpam-497	139	2	i	i	PRON
ejpam-497	139	3	−	−	PROPN
ejpam-497	139	4	be−i	be−i	PROPN
ejpam-497	139	5	t	t	PROPN
ejpam-497	139	6	t	t	PROPN
ejpam-497	139	7	)	)	PUNCT
ejpam-497	139	8	−1d	−1d	PROPN
ejpam-497	139	9	t	t	PROPN
ejpam-497	139	10	(	(	PUNCT
ejpam-497	139	11	16	16	NUM
ejpam-497	139	12	)	)	PUNCT
ejpam-497	139	13	and	and	CCONJ
ejpam-497	139	14	i3	i3	NOUN
ejpam-497	139	15	=	=	SYM
ejpam-497	139	16	1	1	NUM
ejpam-497	139	17	2π	2π	NUM
ejpam-497	139	18	2π	2π	PROPN
ejpam-497	139	19	∫	∫	NOUN
ejpam-497	139	20	0	0	NUM
ejpam-497	140	1	i	i	PROPN
ejpam-497	140	2	d	d	PROPN
ejpam-497	140	3	t.	t.	PROPN
ejpam-497	140	4	(	(	PUNCT
ejpam-497	140	5	17	17	NUM
ejpam-497	140	6	)	)	PUNCT
ejpam-497	140	7	so	so	ADV
ejpam-497	140	8	,	,	PUNCT
ejpam-497	140	9	by	by	ADP
ejpam-497	140	10	(	(	PUNCT
ejpam-497	140	11	15	15	NUM
ejpam-497	140	12	)	)	PUNCT
ejpam-497	140	13	,	,	PUNCT
ejpam-497	140	14	(	(	PUNCT
ejpam-497	140	15	16	16	NUM
ejpam-497	140	16	)	)	PUNCT
ejpam-497	140	17	and	and	CCONJ
ejpam-497	140	18	(	(	PUNCT
ejpam-497	140	19	17	17	NUM
ejpam-497	140	20	)	)	PUNCT
ejpam-497	140	21	,	,	PUNCT
ejpam-497	140	22	(	(	PUNCT
ejpam-497	140	23	14	14	NUM
ejpam-497	140	24	)	)	PUNCT
ejpam-497	140	25	is	be	AUX
ejpam-497	140	26	of	of	ADP
ejpam-497	140	27	the	the	DET
ejpam-497	140	28	form	form	NOUN
ejpam-497	140	29	1	1	NUM
ejpam-497	140	30	2π	2π	PROPN
ejpam-497	140	31	2π	2π	PROPN
ejpam-497	140	32	∫	∫	NOUN
ejpam-497	140	33	0	0	NUM
ejpam-497	141	1	qa	qa	PROPN
ejpam-497	141	2	,	,	PUNCT
ejpam-497	141	3	b	b	NOUN
ejpam-497	141	4	,	,	PUNCT
ejpam-497	141	5	t(t	t(t	NOUN
ejpam-497	141	6	)	)	PUNCT
ejpam-497	141	7	d	d	X
ejpam-497	141	8	t	t	NOUN
ejpam-497	141	9	=	=	SYM
ejpam-497	141	10	i1	i1	PROPN
ejpam-497	141	11	+	+	CCONJ
ejpam-497	141	12	i2	i2	PROPN
ejpam-497	141	13	−	−	PROPN
ejpam-497	141	14	i3	i3	NOUN
ejpam-497	141	15	.	.	PUNCT
ejpam-497	142	1	(	(	PUNCT
ejpam-497	142	2	18	18	NUM
ejpam-497	142	3	)	)	PUNCT
ejpam-497	142	4	it	it	PRON
ejpam-497	142	5	is	be	AUX
ejpam-497	142	6	clear	clear	ADJ
ejpam-497	142	7	that	that	SCONJ
ejpam-497	142	8	i3	i3	NOUN
ejpam-497	142	9	=	=	NOUN
ejpam-497	143	1	i	i	PRON
ejpam-497	143	2	.	.	PUNCT
ejpam-497	144	1	(	(	PUNCT
ejpam-497	144	2	19	19	NUM
ejpam-497	144	3	)	)	PUNCT
ejpam-497	144	4	next	next	ADV
ejpam-497	144	5	we	we	PRON
ejpam-497	144	6	shall	shall	AUX
ejpam-497	144	7	calculate	calculate	VERB
ejpam-497	144	8	i1	i1	PROPN
ejpam-497	144	9	and	and	CCONJ
ejpam-497	144	10	i2	i2	PROPN
ejpam-497	144	11	.	.	PUNCT
ejpam-497	145	1	firstly	firstly	ADV
ejpam-497	145	2	,	,	PUNCT
ejpam-497	145	3	we	we	PRON
ejpam-497	145	4	have	have	VERB
ejpam-497	145	5	i1	i1	NOUN
ejpam-497	145	6	=	=	PUNCT
ejpam-497	145	7	1	1	NUM
ejpam-497	145	8	2π	2π	PROPN
ejpam-497	145	9	2π	2π	PROPN
ejpam-497	145	10	∫	∫	X
ejpam-497	145	11	0	0	PUNCT
ejpam-497	146	1	(	(	PUNCT
ejpam-497	146	2	i	i	PRON
ejpam-497	146	3	−	−	PROPN
ejpam-497	146	4	aei	aei	PROPN
ejpam-497	146	5	t	t	PROPN
ejpam-497	146	6	t	t	PROPN
ejpam-497	146	7	∗)−1d	∗)−1d	PROPN
ejpam-497	146	8	t	t	NOUN
ejpam-497	146	9	=	=	SYM
ejpam-497	146	10	1	1	NUM
ejpam-497	146	11	2π	2π	PROPN
ejpam-497	146	12	2π	2π	PROPN
ejpam-497	146	13	∫	∫	NOUN
ejpam-497	146	14	0	0	NUM
ejpam-497	146	15	e−i	e−i	NOUN
ejpam-497	146	16	t(e−i	t(e−i	PROPN
ejpam-497	146	17	t	t	PROPN
ejpam-497	147	1	i	i	PRON
ejpam-497	147	2	−	−	PROPN
ejpam-497	147	3	at	at	ADP
ejpam-497	147	4	∗)−1d	∗)−1d	PROPN
ejpam-497	147	5	t.	t.	NOUN
ejpam-497	147	6	making	make	VERB
ejpam-497	147	7	substitution	substitution	NOUN
ejpam-497	147	8	z	z	NOUN
ejpam-497	147	9	=	=	SYM
ejpam-497	147	10	e−i	e−i	VERB
ejpam-497	147	11	t	t	NOUN
ejpam-497	147	12	in	in	ADP
ejpam-497	147	13	the	the	DET
ejpam-497	147	14	last	last	ADJ
ejpam-497	147	15	integral	integral	NOUN
ejpam-497	147	16	,	,	PUNCT
ejpam-497	147	17	we	we	PRON
ejpam-497	147	18	find	find	VERB
ejpam-497	147	19	i1	i1	PROPN
ejpam-497	147	20	=	=	PUNCT
ejpam-497	148	1	−	−	PROPN
ejpam-497	148	2	1	1	NUM
ejpam-497	148	3	2πi	2πi	NOUN
ejpam-497	148	4	∫	∫	PROPN
ejpam-497	148	5	|z|=1	|z|=1	PROPN
ejpam-497	148	6	(	(	PUNCT
ejpam-497	148	7	zi	zi	NOUN
ejpam-497	148	8	−	−	PROPN
ejpam-497	148	9	at	at	ADP
ejpam-497	148	10	∗)−1dz	∗)−1dz	PROPN
ejpam-497	148	11	,	,	PUNCT
ejpam-497	148	12	where	where	SCONJ
ejpam-497	148	13	the	the	DET
ejpam-497	148	14	integral	integral	ADJ
ejpam-497	148	15	along	along	ADP
ejpam-497	148	16	the	the	DET
ejpam-497	148	17	|z|	|z|	NOUN
ejpam-497	148	18	=	=	SYM
ejpam-497	148	19	1	1	NUM
ejpam-497	148	20	is	be	AUX
ejpam-497	148	21	in	in	ADP
ejpam-497	148	22	the	the	DET
ejpam-497	148	23	negative	negative	ADJ
ejpam-497	148	24	direction	direction	NOUN
ejpam-497	148	25	.	.	PUNCT
ejpam-497	149	1	hence	hence	ADV
ejpam-497	149	2	,	,	PUNCT
ejpam-497	149	3	by	by	ADP
ejpam-497	149	4	the	the	DET
ejpam-497	149	5	riesz	riesz	PROPN
ejpam-497	149	6	-	-	PUNCT
ejpam-497	149	7	dunford	dunford	NOUN
ejpam-497	149	8	integral	integral	ADJ
ejpam-497	149	9	(	(	PUNCT
ejpam-497	149	10	1	1	NUM
ejpam-497	149	11	)	)	PUNCT
ejpam-497	149	12	,	,	PUNCT
ejpam-497	149	13	we	we	PRON
ejpam-497	149	14	have	have	VERB
ejpam-497	149	15	i1	i1	PROPN
ejpam-497	149	16	=	=	PUNCT
ejpam-497	150	1	i	i	PROPN
ejpam-497	150	2	.	.	PUNCT
ejpam-497	151	1	(	(	PUNCT
ejpam-497	151	2	20	20	NUM
ejpam-497	151	3	)	)	PUNCT
ejpam-497	151	4	references	reference	NOUN
ejpam-497	151	5	250	250	NUM
ejpam-497	151	6	similarly	similarly	ADV
ejpam-497	151	7	,	,	PUNCT
ejpam-497	151	8	we	we	PRON
ejpam-497	151	9	get	get	VERB
ejpam-497	151	10	i2	i2	NOUN
ejpam-497	151	11	=	=	NOUN
ejpam-497	151	12	1	1	NUM
ejpam-497	151	13	2π	2π	PROPN
ejpam-497	151	14	2π	2π	PROPN
ejpam-497	151	15	∫	∫	X
ejpam-497	151	16	0	0	PUNCT
ejpam-497	152	1	(	(	PUNCT
ejpam-497	152	2	i	i	PRON
ejpam-497	152	3	−	−	PROPN
ejpam-497	152	4	be−i	be−i	PROPN
ejpam-497	152	5	t	t	PROPN
ejpam-497	152	6	t	t	PROPN
ejpam-497	152	7	)	)	PUNCT
ejpam-497	152	8	−1d	−1d	PROPN
ejpam-497	152	9	t	t	NOUN
ejpam-497	152	10	=	=	SYM
ejpam-497	152	11	1	1	NUM
ejpam-497	152	12	2π	2π	PROPN
ejpam-497	152	13	2π	2π	PROPN
ejpam-497	152	14	∫	∫	X
ejpam-497	152	15	0	0	PUNCT
ejpam-497	153	1	ei	ei	PROPN
ejpam-497	153	2	t(ei	t(ei	PROPN
ejpam-497	153	3	t	t	PROPN
ejpam-497	154	1	i	i	PRON
ejpam-497	154	2	−	−	PROPN
ejpam-497	154	3	bt	bt	NOUN
ejpam-497	154	4	)	)	PUNCT
ejpam-497	154	5	−1d	−1d	PROPN
ejpam-497	154	6	t.	t.	NOUN
ejpam-497	154	7	if	if	SCONJ
ejpam-497	154	8	we	we	PRON
ejpam-497	154	9	set	set	VERB
ejpam-497	154	10	z	z	NOUN
ejpam-497	154	11	=	=	PUNCT
ejpam-497	154	12	ei	ei	PROPN
ejpam-497	154	13	t	t	PROPN
ejpam-497	154	14	then	then	ADV
ejpam-497	154	15	the	the	DET
ejpam-497	154	16	last	last	ADJ
ejpam-497	154	17	integral	integral	NOUN
ejpam-497	154	18	is	be	AUX
ejpam-497	154	19	of	of	ADP
ejpam-497	154	20	the	the	DET
ejpam-497	154	21	form	form	NOUN
ejpam-497	154	22	i2	i2	NOUN
ejpam-497	154	23	=	=	SYM
ejpam-497	154	24	1	1	NUM
ejpam-497	154	25	2πi	2πi	NOUN
ejpam-497	154	26	∫	∫	PROPN
ejpam-497	154	27	|z|=1	|z|=1	PROPN
ejpam-497	154	28	(	(	PUNCT
ejpam-497	154	29	zi	zi	NOUN
ejpam-497	154	30	−	−	PROPN
ejpam-497	154	31	bt	bt	NOUN
ejpam-497	154	32	)	)	PUNCT
ejpam-497	154	33	−1dz	−1dz	NOUN
ejpam-497	154	34	,	,	PUNCT
ejpam-497	154	35	where	where	SCONJ
ejpam-497	154	36	the	the	DET
ejpam-497	154	37	integral	integral	ADJ
ejpam-497	154	38	along	along	ADP
ejpam-497	154	39	the	the	DET
ejpam-497	154	40	|z|	|z|	NOUN
ejpam-497	154	41	=	=	SYM
ejpam-497	154	42	1	1	NUM
ejpam-497	154	43	is	be	AUX
ejpam-497	154	44	in	in	ADP
ejpam-497	154	45	the	the	DET
ejpam-497	154	46	positive	positive	ADJ
ejpam-497	154	47	direction	direction	NOUN
ejpam-497	154	48	.	.	PUNCT
ejpam-497	155	1	so	so	ADV
ejpam-497	155	2	,	,	PUNCT
ejpam-497	155	3	by	by	ADP
ejpam-497	155	4	the	the	DET
ejpam-497	155	5	riesz	riesz	PROPN
ejpam-497	155	6	-	-	PUNCT
ejpam-497	155	7	dunford	dunford	NOUN
ejpam-497	155	8	integral	integral	ADJ
ejpam-497	155	9	(	(	PUNCT
ejpam-497	155	10	1	1	NUM
ejpam-497	155	11	)	)	PUNCT
ejpam-497	155	12	,	,	PUNCT
ejpam-497	155	13	we	we	PRON
ejpam-497	155	14	obtain	obtain	VERB
ejpam-497	155	15	i2	i2	NOUN
ejpam-497	155	16	=	=	NOUN
ejpam-497	156	1	i	i	PROPN
ejpam-497	156	2	.	.	PUNCT
ejpam-497	157	1	(	(	PUNCT
ejpam-497	157	2	21	21	NUM
ejpam-497	157	3	)	)	PUNCT
ejpam-497	157	4	therefore	therefore	ADV
ejpam-497	157	5	,	,	PUNCT
ejpam-497	157	6	by	by	ADP
ejpam-497	157	7	(	(	PUNCT
ejpam-497	157	8	18	18	NUM
ejpam-497	157	9	)	)	PUNCT
ejpam-497	157	10	,	,	PUNCT
ejpam-497	157	11	(	(	PUNCT
ejpam-497	157	12	19	19	NUM
ejpam-497	157	13	)	)	PUNCT
ejpam-497	157	14	,	,	PUNCT
ejpam-497	157	15	(	(	PUNCT
ejpam-497	157	16	20	20	NUM
ejpam-497	157	17	)	)	PUNCT
ejpam-497	157	18	and	and	CCONJ
ejpam-497	157	19	(	(	PUNCT
ejpam-497	157	20	21	21	NUM
ejpam-497	157	21	)	)	PUNCT
ejpam-497	157	22	we	we	PRON
ejpam-497	157	23	get	get	VERB
ejpam-497	157	24	(	(	PUNCT
ejpam-497	157	25	13	13	NUM
ejpam-497	157	26	)	)	PUNCT
ejpam-497	157	27	.	.	PUNCT
ejpam-497	158	1	remark	remark	PROPN
ejpam-497	158	2	7	7	NUM
ejpam-497	158	3	.	.	PUNCT
ejpam-497	158	4	by	by	ADP
ejpam-497	158	5	taking	take	VERB
ejpam-497	158	6	a	a	DET
ejpam-497	158	7	=	=	NOUN
ejpam-497	158	8	r	r	NOUN
ejpam-497	158	9	and	and	CCONJ
ejpam-497	158	10	b	b	NOUN
ejpam-497	158	11	=	=	NOUN
ejpam-497	158	12	r	r	NOUN
ejpam-497	158	13	in	in	ADP
ejpam-497	158	14	(	(	PUNCT
ejpam-497	158	15	13	13	NUM
ejpam-497	158	16	)	)	PUNCT
ejpam-497	158	17	,	,	PUNCT
ejpam-497	158	18	we	we	PRON
ejpam-497	158	19	find	find	VERB
ejpam-497	158	20	that	that	SCONJ
ejpam-497	158	21	(	(	PUNCT
ejpam-497	158	22	13	13	NUM
ejpam-497	158	23	)	)	PUNCT
ejpam-497	158	24	is	be	AUX
ejpam-497	158	25	a	a	DET
ejpam-497	158	26	generalization	generalization	NOUN
ejpam-497	158	27	of	of	ADP
ejpam-497	158	28	(	(	PUNCT
ejpam-497	158	29	6	6	NUM
ejpam-497	158	30	)	)	PUNCT
ejpam-497	158	31	.	.	PUNCT
ejpam-497	159	1	corollary	corollary	ADJ
ejpam-497	159	2	2	2	NUM
ejpam-497	159	3	.	.	PUNCT
ejpam-497	160	1	if	if	SCONJ
ejpam-497	160	2	we	we	PRON
ejpam-497	160	3	set	set	VERB
ejpam-497	160	4	a	a	PRON
ejpam-497	160	5	=	=	NOUN
ejpam-497	160	6	r	r	NOUN
ejpam-497	160	7	and	and	CCONJ
ejpam-497	160	8	b	b	NOUN
ejpam-497	160	9	=	=	NOUN
ejpam-497	160	10	r	r	NOUN
ejpam-497	160	11	in	in	ADP
ejpam-497	160	12	theorem	theorem	NOUN
ejpam-497	160	13	3	3	NUM
ejpam-497	160	14	then	then	ADV
ejpam-497	160	15	we	we	PRON
ejpam-497	160	16	obtain	obtain	VERB
ejpam-497	160	17	theorem	theorem	ADJ
ejpam-497	160	18	1	1	NUM
ejpam-497	160	19	.	.	PUNCT
ejpam-497	160	20	hence	hence	ADV
ejpam-497	160	21	theorem	theorem	VERB
ejpam-497	160	22	3	3	NUM
ejpam-497	160	23	gives	give	VERB
ejpam-497	160	24	another	another	DET
ejpam-497	160	25	proof	proof	NOUN
ejpam-497	160	26	of	of	ADP
ejpam-497	160	27	theorem	theorem	NOUN
ejpam-497	160	28	1	1	NUM
ejpam-497	160	29	.	.	NOUN
ejpam-497	160	30	remark	remark	PROPN
ejpam-497	160	31	8	8	NUM
ejpam-497	160	32	.	.	PUNCT
ejpam-497	161	1	note	note	VERB
ejpam-497	161	2	that	that	SCONJ
ejpam-497	161	3	qa	qa	PROPN
ejpam-497	161	4	,	,	PUNCT
ejpam-497	161	5	b	b	PROPN
ejpam-497	161	6	,	,	PUNCT
ejpam-497	161	7	t	t	PROPN
ejpam-497	161	8	(	(	PUNCT
ejpam-497	161	9	t	t	PROPN
ejpam-497	161	10	)	)	PUNCT
ejpam-497	161	11	in	in	ADP
ejpam-497	161	12	(	(	PUNCT
ejpam-497	161	13	8)	8)	NUM
ejpam-497	161	14	is	be	AUX
ejpam-497	161	15	an	an	DET
ejpam-497	161	16	operator	operator	NOUN
ejpam-497	161	17	-	-	PUNCT
ejpam-497	161	18	valued	value	VERB
ejpam-497	161	19	form	form	NOUN
ejpam-497	161	20	of	of	ADP
ejpam-497	161	21	qa	qa	PROPN
ejpam-497	161	22	,	,	PUNCT
ejpam-497	161	23	b	b	PROPN
ejpam-497	161	24	,	,	PUNCT
ejpam-497	161	25	t	t	PROPN
ejpam-497	161	26	�	�	PROPN
ejpam-497	162	1	eiθ	eiθ	PROPN
ejpam-497	162	2	�	�	PROPN
ejpam-497	162	3	in	in	ADP
ejpam-497	162	4	remark	remark	NOUN
ejpam-497	162	5	4	4	NUM
ejpam-497	162	6	.	.	PUNCT
ejpam-497	163	1	references	reference	NOUN
ejpam-497	163	2	[	[	X
ejpam-497	163	3	1	1	NUM
ejpam-497	163	4	]	]	PUNCT
ejpam-497	163	5	i.	i.	NOUN
ejpam-497	163	6	chalendar	chalendar	PROPN
ejpam-497	163	7	,	,	PUNCT
ejpam-497	163	8	the	the	DET
ejpam-497	163	9	operator	operator	NOUN
ejpam-497	163	10	-	-	PUNCT
ejpam-497	163	11	valued	value	VERB
ejpam-497	163	12	poisson	poisson	NOUN
ejpam-497	163	13	kernel	kernel	PROPN
ejpam-497	163	14	and	and	CCONJ
ejpam-497	163	15	its	its	PRON
ejpam-497	163	16	applications	application	NOUN
ejpam-497	163	17	,	,	PUNCT
ejpam-497	163	18	ir	ir	PROPN
ejpam-497	163	19	.	.	PROPN
ejpam-497	163	20	math	math	PROPN
ejpam-497	163	21	.	.	PUNCT
ejpam-497	164	1	soc	soc	PROPN
ejpam-497	164	2	.	.	PUNCT
ejpam-497	165	1	bull	bull	NOUN
ejpam-497	165	2	.	.	PUNCT
ejpam-497	166	1	51	51	NUM
ejpam-497	166	2	,	,	PUNCT
ejpam-497	166	3	21–44	21–44	NUM
ejpam-497	166	4	.	.	NOUN
ejpam-497	166	5	2003	2003	NUM
ejpam-497	166	6	.	.	PUNCT
ejpam-497	167	1	[	[	X
ejpam-497	167	2	2	2	NUM
ejpam-497	167	3	]	]	X
ejpam-497	167	4	n.	n.	PROPN
ejpam-497	167	5	dunford	dunford	PROPN
ejpam-497	167	6	and	and	CCONJ
ejpam-497	167	7	j.	j.	PROPN
ejpam-497	167	8	t.	t.	PROPN
ejpam-497	167	9	schwartz	schwartz	PROPN
ejpam-497	167	10	,	,	PUNCT
ejpam-497	167	11	linear	linear	PROPN
ejpam-497	167	12	operators	operator	NOUN
ejpam-497	167	13	,	,	PUNCT
ejpam-497	167	14	part	part	NOUN
ejpam-497	167	15	i	i	PROPN
ejpam-497	167	16	,	,	PUNCT
ejpam-497	167	17	general	general	ADJ
ejpam-497	167	18	theory	theory	NOUN
ejpam-497	167	19	,	,	PUNCT
ejpam-497	167	20	interscience	interscience	NOUN
ejpam-497	167	21	,	,	PUNCT
ejpam-497	167	22	new	new	PROPN
ejpam-497	167	23	york	york	PROPN
ejpam-497	167	24	,	,	PUNCT
ejpam-497	167	25	1958	1958	NUM
ejpam-497	167	26	.	.	PUNCT
ejpam-497	168	1	[	[	X
ejpam-497	168	2	3	3	X
ejpam-497	168	3	]	]	PUNCT
ejpam-497	168	4	h.	h.	PROPN
ejpam-497	168	5	haruki	haruki	PROPN
ejpam-497	168	6	and	and	CCONJ
ejpam-497	168	7	th	th	PROPN
ejpam-497	168	8	.	.	PUNCT
ejpam-497	168	9	m.	m.	NOUN
ejpam-497	168	10	rassias	rassias	PROPN
ejpam-497	168	11	,	,	PUNCT
ejpam-497	168	12	new	new	ADJ
ejpam-497	168	13	generalizations	generalization	NOUN
ejpam-497	168	14	of	of	ADP
ejpam-497	168	15	the	the	DET
ejpam-497	168	16	poisson	poisson	PROPN
ejpam-497	168	17	kernel	kernel	PROPN
ejpam-497	168	18	,	,	PUNCT
ejpam-497	168	19	j.	j.	PROPN
ejpam-497	168	20	appl	appl	PROPN
ejpam-497	168	21	.	.	PROPN
ejpam-497	168	22	math	math	PROPN
ejpam-497	168	23	.	.	PUNCT
ejpam-497	169	1	stochastic	stochastic	ADJ
ejpam-497	169	2	anal	anal	NOUN
ejpam-497	169	3	.	.	PUNCT
ejpam-497	170	1	10	10	NUM
ejpam-497	170	2	,	,	PUNCT
ejpam-497	170	3	191–196	191–196	NUM
ejpam-497	170	4	.	.	PUNCT
ejpam-497	171	1	1997	1997	NUM
ejpam-497	171	2	.	.	PUNCT
ejpam-497	172	1	[	[	X
ejpam-497	172	2	4	4	NUM
ejpam-497	172	3	]	]	X
ejpam-497	172	4	n.	n.	PROPN
ejpam-497	172	5	young	young	PROPN
ejpam-497	172	6	,	,	PUNCT
ejpam-497	172	7	an	an	DET
ejpam-497	172	8	introduction	introduction	NOUN
ejpam-497	172	9	to	to	ADP
ejpam-497	172	10	hilbert	hilbert	PROPN
ejpam-497	172	11	space	space	NOUN
ejpam-497	172	12	,	,	PUNCT
ejpam-497	172	13	cambridge	cambridge	PROPN
ejpam-497	172	14	university	university	PROPN
ejpam-497	172	15	press	press	NOUN
ejpam-497	172	16	,	,	PUNCT
ejpam-497	172	17	1988	1988	NUM
ejpam-497	172	18	.	.	PUNCT