id	sid	tid	token	lemma	pos
ejpam-2610	1	1	compile	compile	VERB
ejpam-2610	1	2	/	/	SYM
ejpam-2610	1	3	output.dvi	output.dvi	PRON
ejpam-2610	1	4	a	a	DET
ejpam-2610	1	5	note	note	NOUN
ejpam-2610	1	6	on	on	ADP
ejpam-2610	1	7	positivity	positivity	NOUN
ejpam-2610	1	8	of	of	ADP
ejpam-2610	1	9	one	one	NUM
ejpam-2610	1	10	-	-	PUNCT
ejpam-2610	1	11	dimensional	dimensional	ADJ
ejpam-2610	1	12	elliptic	elliptic	ADJ
ejpam-2610	1	13	differential	differential	ADJ
ejpam-2610	1	14	operators	operator	NOUN
ejpam-2610	1	15	allaberen	allaberen	X
ejpam-2610	1	16	ashyralyev1	ashyralyev1	PROPN
ejpam-2610	1	17	and	and	CCONJ
ejpam-2610	1	18	sema	sema	PROPN
ejpam-2610	1	19	akturk2,∗	akturk2,∗	VERB
ejpam-2610	1	20	1	1	NUM
ejpam-2610	1	21	department	department	NOUN
ejpam-2610	1	22	of	of	ADP
ejpam-2610	1	23	elementary	elementary	ADJ
ejpam-2610	1	24	mathematics	mathematics	PROPN
ejpam-2610	1	25	education	education	PROPN
ejpam-2610	1	26	,	,	PUNCT
ejpam-2610	1	27	fatih	fatih	PROPN
ejpam-2610	1	28	university	university	PROPN
ejpam-2610	1	29	,	,	PUNCT
ejpam-2610	1	30	34500	34500	NUM
ejpam-2610	1	31	buyukcekmece	buyukcekmece	NOUN
ejpam-2610	1	32	,	,	PUNCT
ejpam-2610	1	33	istanbul	istanbul	PROPN
ejpam-2610	1	34	,	,	PUNCT
ejpam-2610	1	35	turkey	turkey	PROPN
ejpam-2610	1	36	,	,	PUNCT
ejpam-2610	1	37	department	department	NOUN
ejpam-2610	1	38	of	of	ADP
ejpam-2610	1	39	mathematics	mathematic	NOUN
ejpam-2610	1	40	,	,	PUNCT
ejpam-2610	1	41	ittu	ittu	ADV
ejpam-2610	1	42	,	,	PUNCT
ejpam-2610	1	43	74400	74400	NUM
ejpam-2610	1	44	gerogly	gerogly	ADV
ejpam-2610	1	45	street	street	NOUN
ejpam-2610	1	46	,	,	PUNCT
ejpam-2610	1	47	ashgabat	ashgabat	NOUN
ejpam-2610	1	48	,	,	PUNCT
ejpam-2610	1	49	turkmenistan	turkmenistan	PROPN
ejpam-2610	1	50	2	2	NUM
ejpam-2610	1	51	department	department	NOUN
ejpam-2610	1	52	of	of	ADP
ejpam-2610	1	53	mathematics	mathematics	PROPN
ejpam-2610	1	54	,	,	PUNCT
ejpam-2610	1	55	fatih	fatih	PROPN
ejpam-2610	1	56	university	university	PROPN
ejpam-2610	1	57	,	,	PUNCT
ejpam-2610	1	58	34500	34500	NUM
ejpam-2610	1	59	buyukcekmece	buyukcekmece	NOUN
ejpam-2610	1	60	,	,	PUNCT
ejpam-2610	1	61	istanbul	istanbul	PROPN
ejpam-2610	1	62	,	,	PUNCT
ejpam-2610	1	63	turkey	turkey	PROPN
ejpam-2610	1	64	abstract	abstract	NOUN
ejpam-2610	1	65	.	.	PUNCT
ejpam-2610	2	1	we	we	PRON
ejpam-2610	2	2	consider	consider	VERB
ejpam-2610	2	3	the	the	DET
ejpam-2610	2	4	structure	structure	NOUN
ejpam-2610	2	5	of	of	ADP
ejpam-2610	2	6	fractional	fractional	ADJ
ejpam-2610	2	7	spaces	space	NOUN
ejpam-2610	2	8	eα(c	eα(c	PUNCT
ejpam-2610	2	9	�	�	PROPN
ejpam-2610	2	10	r+	r+	PUNCT
ejpam-2610	2	11	�	�	PROPN
ejpam-2610	2	12	,	,	PUNCT
ejpam-2610	2	13	a	a	PRON
ejpam-2610	2	14	)	)	PUNCT
ejpam-2610	2	15	generated	generate	VERB
ejpam-2610	2	16	by	by	ADP
ejpam-2610	2	17	the	the	DET
ejpam-2610	2	18	positive	positive	ADJ
ejpam-2610	2	19	differential	differential	NOUN
ejpam-2610	2	20	operator	operator	NOUN
ejpam-2610	2	21	a	a	PRON
ejpam-2610	2	22	defined	define	VERB
ejpam-2610	2	23	by	by	ADP
ejpam-2610	2	24	the	the	DET
ejpam-2610	2	25	formula	formula	NOUN
ejpam-2610	2	26	au(t	au(t	PUNCT
ejpam-2610	2	27	)	)	PUNCT
ejpam-2610	2	28	=	=	SYM
ejpam-2610	3	1	−ut	−ut	NOUN
ejpam-2610	3	2	t(t	t(t	NOUN
ejpam-2610	3	3	)	)	PUNCT
ejpam-2610	4	1	+	+	CCONJ
ejpam-2610	4	2	u(t	u(t	NOUN
ejpam-2610	4	3	)	)	PUNCT
ejpam-2610	4	4	with	with	ADP
ejpam-2610	4	5	domain	domain	NOUN
ejpam-2610	4	6	d(a	d(a	PROPN
ejpam-2610	4	7	)	)	PUNCT
ejpam-2610	4	8	=	=	PRON
ejpam-2610	4	9	{	{	PUNCT
ejpam-2610	4	10	u	u	NOUN
ejpam-2610	4	11	:	:	PUNCT
ejpam-2610	4	12	ut	ut	PROPN
ejpam-2610	4	13	t	t	PROPN
ejpam-2610	4	14	,	,	PUNCT
ejpam-2610	4	15	u	u	PROPN
ejpam-2610	4	16	∈	∈	PROPN
ejpam-2610	4	17	c	c	PROPN
ejpam-2610	4	18	�	�	PROPN
ejpam-2610	4	19	r+	r+	PUNCT
ejpam-2610	4	20	�	�	PROPN
ejpam-2610	4	21	,	,	PUNCT
ejpam-2610	4	22	u(0	u(0	PROPN
ejpam-2610	4	23	)	)	PUNCT
ejpam-2610	4	24	=	=	SYM
ejpam-2610	4	25	0,u(∞	0,u(∞	ADJ
ejpam-2610	4	26	)	)	PUNCT
ejpam-2610	4	27	=	=	SYM
ejpam-2610	4	28	0	0	NUM
ejpam-2610	4	29	}	}	PUNCT
ejpam-2610	4	30	,	,	PUNCT
ejpam-2610	4	31	where	where	SCONJ
ejpam-2610	4	32	r+	r+	PUNCT
ejpam-2610	4	33	=	=	PUNCT
ejpam-2610	4	34	[	[	X
ejpam-2610	4	35	0,∞	0,∞	NUM
ejpam-2610	4	36	)	)	PUNCT
ejpam-2610	4	37	.	.	PUNCT
ejpam-2610	5	1	it	it	PRON
ejpam-2610	5	2	is	be	AUX
ejpam-2610	5	3	established	establish	VERB
ejpam-2610	5	4	that	that	SCONJ
ejpam-2610	5	5	for	for	ADP
ejpam-2610	5	6	any	any	DET
ejpam-2610	5	7	0	0	PUNCT
ejpam-2610	5	8	<	<	X
ejpam-2610	5	9	α	α	X
ejpam-2610	5	10	<	<	X
ejpam-2610	5	11	1/2	1/2	NUM
ejpam-2610	5	12	,	,	PUNCT
ejpam-2610	5	13	the	the	DET
ejpam-2610	5	14	norms	norm	NOUN
ejpam-2610	5	15	in	in	ADP
ejpam-2610	5	16	the	the	DET
ejpam-2610	5	17	spaces	space	NOUN
ejpam-2610	5	18	eα(c	eα(c	PUNCT
ejpam-2610	5	19	�	�	PROPN
ejpam-2610	5	20	r+	r+	PUNCT
ejpam-2610	5	21	�	�	PROPN
ejpam-2610	5	22	,	,	PUNCT
ejpam-2610	5	23	a	a	PRON
ejpam-2610	5	24	)	)	PUNCT
ejpam-2610	5	25	and	and	CCONJ
ejpam-2610	5	26	c2α	c2α	PROPN
ejpam-2610	5	27	�	�	PROPN
ejpam-2610	5	28	r+	r+	PUNCT
ejpam-2610	5	29	�	�	PROPN
ejpam-2610	5	30	are	be	AUX
ejpam-2610	5	31	equivalent	equivalent	ADJ
ejpam-2610	5	32	.	.	PUNCT
ejpam-2610	6	1	the	the	DET
ejpam-2610	6	2	positivity	positivity	NOUN
ejpam-2610	6	3	of	of	ADP
ejpam-2610	6	4	the	the	DET
ejpam-2610	6	5	differential	differential	ADJ
ejpam-2610	6	6	operator	operator	NOUN
ejpam-2610	6	7	a	a	PRON
ejpam-2610	6	8	in	in	ADP
ejpam-2610	6	9	c2α	c2α	PROPN
ejpam-2610	6	10	�	�	PROPN
ejpam-2610	6	11	r+	r+	PUNCT
ejpam-2610	6	12	�	�	PROPN
ejpam-2610	6	13	is	be	AUX
ejpam-2610	6	14	established	establish	VERB
ejpam-2610	6	15	.	.	PUNCT
ejpam-2610	7	1	2010	2010	NUM
ejpam-2610	7	2	mathematics	mathematic	NOUN
ejpam-2610	7	3	subject	subject	NOUN
ejpam-2610	7	4	classifications	classification	NOUN
ejpam-2610	7	5	:	:	PUNCT
ejpam-2610	7	6	35j08	35j08	NUM
ejpam-2610	7	7	,	,	PUNCT
ejpam-2610	7	8	35j58	35j58	NUM
ejpam-2610	7	9	,	,	PUNCT
ejpam-2610	7	10	47b65	47b65	PRON
ejpam-2610	7	11	key	key	ADJ
ejpam-2610	7	12	words	word	NOUN
ejpam-2610	7	13	and	and	CCONJ
ejpam-2610	7	14	phrases	phrase	NOUN
ejpam-2610	7	15	:	:	PUNCT
ejpam-2610	7	16	positive	positive	ADJ
ejpam-2610	7	17	operator	operator	NOUN
ejpam-2610	7	18	,	,	PUNCT
ejpam-2610	7	19	fractional	fractional	ADJ
ejpam-2610	7	20	spaces	space	NOUN
ejpam-2610	7	21	,	,	PUNCT
ejpam-2610	7	22	green	green	PROPN
ejpam-2610	7	23	’s	’s	PART
ejpam-2610	7	24	function	function	NOUN
ejpam-2610	8	1	,	,	PUNCT
ejpam-2610	8	2	hölder	hölder	PROPN
ejpam-2610	8	3	spaces	space	VERB
ejpam-2610	8	4	1	1	NUM
ejpam-2610	8	5	.	.	PUNCT
ejpam-2610	9	1	introduction	introduction	NOUN
ejpam-2610	9	2	it	it	PRON
ejpam-2610	9	3	is	be	AUX
ejpam-2610	9	4	well	well	ADV
ejpam-2610	9	5	-	-	PUNCT
ejpam-2610	9	6	known	know	VERB
ejpam-2610	9	7	that	that	SCONJ
ejpam-2610	9	8	various	various	ADJ
ejpam-2610	9	9	local	local	ADJ
ejpam-2610	9	10	and	and	CCONJ
ejpam-2610	9	11	nonlocal	nonlocal	ADJ
ejpam-2610	9	12	boundary	boundary	ADJ
ejpam-2610	9	13	value	value	NOUN
ejpam-2610	9	14	problems	problem	NOUN
ejpam-2610	9	15	for	for	ADP
ejpam-2610	9	16	partial	partial	ADJ
ejpam-2610	9	17	differential	differential	NOUN
ejpam-2610	9	18	equation	equation	NOUN
ejpam-2610	9	19	can	can	AUX
ejpam-2610	9	20	be	be	AUX
ejpam-2610	9	21	considered	consider	VERB
ejpam-2610	9	22	as	as	ADP
ejpam-2610	9	23	an	an	DET
ejpam-2610	9	24	abstract	abstract	ADJ
ejpam-2610	9	25	boundary	boundary	ADJ
ejpam-2610	9	26	value	value	NOUN
ejpam-2610	9	27	problem	problem	NOUN
ejpam-2610	9	28	for	for	ADP
ejpam-2610	9	29	ordinary	ordinary	ADJ
ejpam-2610	9	30	differential	differential	ADJ
ejpam-2610	9	31	equation	equation	NOUN
ejpam-2610	9	32	in	in	ADP
ejpam-2610	9	33	a	a	DET
ejpam-2610	9	34	banach	banach	NOUN
ejpam-2610	9	35	space	space	NOUN
ejpam-2610	9	36	e	e	NOUN
ejpam-2610	9	37	with	with	ADP
ejpam-2610	9	38	a	a	DET
ejpam-2610	9	39	densely	densely	ADV
ejpam-2610	9	40	defined	define	VERB
ejpam-2610	9	41	unbounded	unbounded	ADJ
ejpam-2610	9	42	operator	operator	NOUN
ejpam-2610	9	43	a.	a.	NOUN
ejpam-2610	9	44	therefore	therefore	ADV
ejpam-2610	9	45	,	,	PUNCT
ejpam-2610	9	46	the	the	DET
ejpam-2610	9	47	study	study	NOUN
ejpam-2610	9	48	of	of	ADP
ejpam-2610	9	49	various	various	ADJ
ejpam-2610	9	50	properties	property	NOUN
ejpam-2610	9	51	of	of	ADP
ejpam-2610	9	52	partial	partial	ADJ
ejpam-2610	9	53	differential	differential	ADJ
ejpam-2610	9	54	equations	equation	NOUN
ejpam-2610	9	55	is	be	AUX
ejpam-2610	9	56	based	base	VERB
ejpam-2610	9	57	on	on	ADP
ejpam-2610	9	58	the	the	DET
ejpam-2610	9	59	positivity	positivity	NOUN
ejpam-2610	9	60	property	property	NOUN
ejpam-2610	9	61	of	of	ADP
ejpam-2610	9	62	the	the	DET
ejpam-2610	9	63	differential	differential	ADJ
ejpam-2610	9	64	operator	operator	NOUN
ejpam-2610	9	65	in	in	ADP
ejpam-2610	9	66	a	a	DET
ejpam-2610	9	67	banach	banach	NOUN
ejpam-2610	9	68	space	space	NOUN
ejpam-2610	10	1	[	[	X
ejpam-2610	10	2	6–8	6–8	X
ejpam-2610	10	3	]	]	X
ejpam-2610	10	4	.	.	PUNCT
ejpam-2610	11	1	many	many	ADJ
ejpam-2610	11	2	researcher	researcher	NOUN
ejpam-2610	11	3	have	have	AUX
ejpam-2610	11	4	studied	study	VERB
ejpam-2610	11	5	the	the	DET
ejpam-2610	11	6	positivity	positivity	NOUN
ejpam-2610	11	7	of	of	ADP
ejpam-2610	11	8	wider	wide	ADJ
ejpam-2610	11	9	class	class	NOUN
ejpam-2610	11	10	of	of	ADP
ejpam-2610	11	11	differential	differential	ADJ
ejpam-2610	11	12	operators	operator	NOUN
ejpam-2610	11	13	(	(	PUNCT
ejpam-2610	11	14	see	see	VERB
ejpam-2610	11	15	[	[	X
ejpam-2610	11	16	12	12	NUM
ejpam-2610	11	17	]	]	PUNCT
ejpam-2610	11	18	through	through	ADP
ejpam-2610	11	19	[	[	X
ejpam-2610	11	20	23	23	NUM
ejpam-2610	11	21	]	]	NUM
ejpam-2610	11	22	)	)	PUNCT
ejpam-2610	11	23	.	.	PUNCT
ejpam-2610	12	1	an	an	DET
ejpam-2610	12	2	differential	differential	ADJ
ejpam-2610	12	3	operator	operator	NOUN
ejpam-2610	12	4	a	a	PRON
ejpam-2610	12	5	densely	densely	ADV
ejpam-2610	12	6	defined	define	VERB
ejpam-2610	12	7	in	in	ADP
ejpam-2610	12	8	a	a	DET
ejpam-2610	12	9	banach	banach	NOUN
ejpam-2610	12	10	space	space	NOUN
ejpam-2610	12	11	e	e	NOUN
ejpam-2610	12	12	with	with	ADP
ejpam-2610	12	13	domain	domain	NOUN
ejpam-2610	12	14	d(a	d(a	PROPN
ejpam-2610	12	15	)	)	PUNCT
ejpam-2610	12	16	is	be	AUX
ejpam-2610	12	17	called	call	VERB
ejpam-2610	12	18	positive	positive	ADJ
ejpam-2610	12	19	in	in	ADP
ejpam-2610	12	20	e	e	NOUN
ejpam-2610	12	21	,	,	PUNCT
ejpam-2610	12	22	if	if	SCONJ
ejpam-2610	12	23	its	its	PRON
ejpam-2610	12	24	spectrum	spectrum	NOUN
ejpam-2610	12	25	σa	σa	NOUN
ejpam-2610	12	26	lies	lie	VERB
ejpam-2610	12	27	in	in	ADP
ejpam-2610	12	28	the	the	DET
ejpam-2610	12	29	interior	interior	NOUN
ejpam-2610	12	30	of	of	ADP
ejpam-2610	12	31	the	the	DET
ejpam-2610	12	32	sector	sector	NOUN
ejpam-2610	12	33	of	of	ADP
ejpam-2610	12	34	angle	angle	PROPN
ejpam-2610	12	35	ϕ	ϕ	PROPN
ejpam-2610	12	36	,	,	PUNCT
ejpam-2610	13	1	0	0	PUNCT
ejpam-2610	13	2	<	<	X
ejpam-2610	13	3	ϕ	ϕ	X
ejpam-2610	13	4	<	<	X
ejpam-2610	13	5	π	π	PROPN
ejpam-2610	13	6	,	,	PUNCT
ejpam-2610	13	7	symmetric	symmetric	ADJ
ejpam-2610	13	8	with	with	ADP
ejpam-2610	13	9	respect	respect	NOUN
ejpam-2610	13	10	to	to	ADP
ejpam-2610	13	11	the	the	DET
ejpam-2610	13	12	real	real	ADJ
ejpam-2610	13	13	axis	axis	NOUN
ejpam-2610	13	14	,	,	PUNCT
ejpam-2610	13	15	and	and	CCONJ
ejpam-2610	13	16	moreover	moreover	ADV
ejpam-2610	13	17	on	on	ADP
ejpam-2610	13	18	the	the	DET
ejpam-2610	13	19	edges	edge	NOUN
ejpam-2610	13	20	of	of	ADP
ejpam-2610	13	21	this	this	DET
ejpam-2610	13	22	sector	sector	NOUN
ejpam-2610	13	23	s1	s1	PROPN
ejpam-2610	13	24	�	�	PROPN
ejpam-2610	13	25	ϕ	ϕ	PROPN
ejpam-2610	13	26	�	�	PROPN
ejpam-2610	13	27	=	=	PRON
ejpam-2610	13	28	{	{	PUNCT
ejpam-2610	13	29	ρeiϕ	ρeiϕ	NOUN
ejpam-2610	13	30	:	:	PUNCT
ejpam-2610	13	31	0≤	0≤	NUM
ejpam-2610	13	32	ρ	ρ	NUM
ejpam-2610	13	33	≤∞	≤∞	PROPN
ejpam-2610	13	34	}	}	PUNCT
ejpam-2610	13	35	∗corresponding	∗corresponde	VERB
ejpam-2610	13	36	author	author	NOUN
ejpam-2610	13	37	.	.	PUNCT
ejpam-2610	14	1	email	email	NOUN
ejpam-2610	14	2	addresses	address	NOUN
ejpam-2610	14	3	:	:	PUNCT
ejpam-2610	14	4	aashyr@fatih.edu.tr	aashyr@fatih.edu.tr	PROPN
ejpam-2610	14	5	(	(	PUNCT
ejpam-2610	14	6	a.	a.	NOUN
ejpam-2610	14	7	ashyralyev	ashyralyev	PROPN
ejpam-2610	14	8	)	)	PUNCT
ejpam-2610	14	9	,	,	PUNCT
ejpam-2610	14	10	semathakturk@gmail.com	semathakturk@gmail.com	X
ejpam-2610	14	11	(	(	PUNCT
ejpam-2610	14	12	s.	s.	PROPN
ejpam-2610	14	13	akturk	akturk	PROPN
ejpam-2610	14	14	)	)	PUNCT
ejpam-2610	14	15	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2610	15	1	165	165	NUM
ejpam-2610	15	2	c	c	NOUN
ejpam-2610	15	3	©	©	PROPN
ejpam-2610	15	4	2016	2016	NUM
ejpam-2610	15	5	ejpam	ejpam	VERB
ejpam-2610	15	6	all	all	DET
ejpam-2610	15	7	rights	right	NOUN
ejpam-2610	15	8	reserved	reserve	VERB
ejpam-2610	15	9	.	.	PUNCT
ejpam-2610	16	1	european	european	ADJ
ejpam-2610	16	2	journal	journal	PROPN
ejpam-2610	16	3	of	of	ADP
ejpam-2610	16	4	pure	pure	ADJ
ejpam-2610	16	5	and	and	CCONJ
ejpam-2610	16	6	applied	apply	VERB
ejpam-2610	16	7	mathematics	mathematic	NOUN
ejpam-2610	16	8	vol	vol	NOUN
ejpam-2610	16	9	.	.	PROPN
ejpam-2610	17	1	9	9	NUM
ejpam-2610	17	2	,	,	PUNCT
ejpam-2610	17	3	no	no	INTJ
ejpam-2610	17	4	.	.	NOUN
ejpam-2610	17	5	2	2	NUM
ejpam-2610	17	6	,	,	PUNCT
ejpam-2610	17	7	2016	2016	NUM
ejpam-2610	17	8	,	,	PUNCT
ejpam-2610	17	9	165	165	NUM
ejpam-2610	17	10	-	-	SYM
ejpam-2610	17	11	174	174	NUM
ejpam-2610	17	12	issn	issn	PROPN
ejpam-2610	17	13	1307	1307	NUM
ejpam-2610	17	14	-	-	SYM
ejpam-2610	17	15	5543	5543	NUM
ejpam-2610	17	16	–	–	PUNCT
ejpam-2610	17	17	www.ejpam.com	www.ejpam.com	X
ejpam-2610	17	18	a.	a.	NOUN
ejpam-2610	17	19	ashyralyev	ashyralyev	PROPN
ejpam-2610	17	20	,	,	PUNCT
ejpam-2610	17	21	s.	s.	PROPN
ejpam-2610	17	22	akturk	akturk	PROPN
ejpam-2610	17	23	/	/	SYM
ejpam-2610	17	24	eur	eur	PROPN
ejpam-2610	17	25	.	.	PUNCT
ejpam-2610	18	1	j.	j.	PROPN
ejpam-2610	18	2	pure	pure	PROPN
ejpam-2610	18	3	appl	appl	PROPN
ejpam-2610	18	4	.	.	PROPN
ejpam-2610	18	5	math	math	PROPN
ejpam-2610	18	6	,	,	PUNCT
ejpam-2610	18	7	9	9	NUM
ejpam-2610	18	8	(	(	PUNCT
ejpam-2610	18	9	2016	2016	NUM
ejpam-2610	18	10	)	)	PUNCT
ejpam-2610	18	11	,	,	PUNCT
ejpam-2610	18	12	165	165	NUM
ejpam-2610	18	13	-	-	SYM
ejpam-2610	18	14	174	174	NUM
ejpam-2610	18	15	166	166	NUM
ejpam-2610	18	16	s2	s2	PROPN
ejpam-2610	18	17	�	�	PROPN
ejpam-2610	18	18	ϕ	ϕ	PROPN
ejpam-2610	18	19	�	�	PROPN
ejpam-2610	18	20	=	=	PRON
ejpam-2610	18	21	{	{	PUNCT
ejpam-2610	18	22	ρe−iϕ	ρe−iϕ	NOUN
ejpam-2610	18	23	:	:	PUNCT
ejpam-2610	18	24	0≤	0≤	NUM
ejpam-2610	18	25	ρ	ρ	NUM
ejpam-2610	18	26	≤∞	≤∞	PROPN
ejpam-2610	18	27	}	}	PUNCT
ejpam-2610	18	28	,	,	PUNCT
ejpam-2610	18	29	and	and	CCONJ
ejpam-2610	18	30	outside	outside	ADP
ejpam-2610	18	31	of	of	ADP
ejpam-2610	18	32	the	the	DET
ejpam-2610	18	33	sector	sector	NOUN
ejpam-2610	18	34	the	the	DET
ejpam-2610	18	35	resolvent	resolvent	NOUN
ejpam-2610	18	36	(	(	PUNCT
ejpam-2610	18	37	a−λ)−1	a−λ)−1	NOUN
ejpam-2610	18	38	is	be	AUX
ejpam-2610	18	39	a	a	DET
ejpam-2610	18	40	subject	subject	NOUN
ejpam-2610	18	41	to	to	ADP
ejpam-2610	18	42	the	the	DET
ejpam-2610	18	43	bound	bound	ADJ
ejpam-2610	18	44	(	(	PUNCT
ejpam-2610	18	45	see	see	VERB
ejpam-2610	18	46	,	,	PUNCT
ejpam-2610	18	47	[	[	X
ejpam-2610	18	48	6	6	NUM
ejpam-2610	18	49	]	]	PUNCT
ejpam-2610	18	50	)	)	PUNCT
ejpam-2610	18	51	(	(	PUNCT
ejpam-2610	18	52	a−λ)−1	a−λ)−1	PROPN
ejpam-2610	18	53	e→e	e→e	X
ejpam-2610	18	54	≤	≤	NUM
ejpam-2610	18	55	m	m	VERB
ejpam-2610	18	56	1	1	NUM
ejpam-2610	18	57	+	+	NUM
ejpam-2610	18	58	|λ|	|λ|	NOUN
ejpam-2610	18	59	.	.	PUNCT
ejpam-2610	19	1	the	the	DET
ejpam-2610	19	2	infimum	infimum	NOUN
ejpam-2610	19	3	of	of	ADP
ejpam-2610	19	4	all	all	DET
ejpam-2610	19	5	such	such	ADJ
ejpam-2610	19	6	angles	angle	NOUN
ejpam-2610	19	7	ϕ	ϕ	NOUN
ejpam-2610	19	8	is	be	AUX
ejpam-2610	19	9	called	call	VERB
ejpam-2610	19	10	the	the	DET
ejpam-2610	19	11	spectral	spectral	ADJ
ejpam-2610	19	12	angle	angle	NOUN
ejpam-2610	19	13	of	of	ADP
ejpam-2610	19	14	the	the	DET
ejpam-2610	19	15	positive	positive	ADJ
ejpam-2610	19	16	operator	operator	NOUN
ejpam-2610	19	17	a	a	PRON
ejpam-2610	19	18	and	and	CCONJ
ejpam-2610	19	19	is	be	AUX
ejpam-2610	19	20	denoted	denote	VERB
ejpam-2610	19	21	by	by	ADP
ejpam-2610	19	22	ϕ(a	ϕ(a	NOUN
ejpam-2610	19	23	)	)	PUNCT
ejpam-2610	20	1	=	=	SYM
ejpam-2610	20	2	ϕ(e	ϕ(e	PROPN
ejpam-2610	20	3	,	,	PUNCT
ejpam-2610	20	4	a	a	PRON
ejpam-2610	20	5	)	)	PUNCT
ejpam-2610	20	6	.	.	PUNCT
ejpam-2610	21	1	the	the	DET
ejpam-2610	21	2	operator	operator	NOUN
ejpam-2610	21	3	a	a	PRON
ejpam-2610	21	4	is	be	AUX
ejpam-2610	21	5	said	say	VERB
ejpam-2610	21	6	to	to	PART
ejpam-2610	21	7	be	be	AUX
ejpam-2610	21	8	strongly	strongly	ADV
ejpam-2610	21	9	positive	positive	ADJ
ejpam-2610	21	10	in	in	ADP
ejpam-2610	21	11	a	a	DET
ejpam-2610	21	12	banach	banach	NOUN
ejpam-2610	21	13	space	space	NOUN
ejpam-2610	21	14	e	e	NOUN
ejpam-2610	21	15	,	,	PUNCT
ejpam-2610	21	16	if	if	SCONJ
ejpam-2610	21	17	ϕ(e	ϕ(e	PROPN
ejpam-2610	21	18	,	,	PUNCT
ejpam-2610	21	19	a	a	NOUN
ejpam-2610	21	20	)	)	PUNCT
ejpam-2610	22	1	<	<	X
ejpam-2610	22	2	π	π	PROPN
ejpam-2610	22	3	2	2	NUM
ejpam-2610	22	4	.	.	PUNCT
ejpam-2610	23	1	throughout	throughout	ADP
ejpam-2610	23	2	the	the	DET
ejpam-2610	23	3	paper	paper	NOUN
ejpam-2610	23	4	,	,	PUNCT
ejpam-2610	23	5	m	m	PROPN
ejpam-2610	23	6	will	will	AUX
ejpam-2610	23	7	denote	denote	VERB
ejpam-2610	23	8	positive	positive	ADJ
ejpam-2610	23	9	constants	constant	NOUN
ejpam-2610	23	10	which	which	PRON
ejpam-2610	23	11	can	can	AUX
ejpam-2610	23	12	be	be	AUX
ejpam-2610	23	13	different	different	ADJ
ejpam-2610	23	14	from	from	ADP
ejpam-2610	23	15	time	time	NOUN
ejpam-2610	23	16	to	to	ADP
ejpam-2610	23	17	time	time	NOUN
ejpam-2610	23	18	and	and	CCONJ
ejpam-2610	23	19	we	we	PRON
ejpam-2610	23	20	are	be	AUX
ejpam-2610	23	21	not	not	PART
ejpam-2610	23	22	interested	interested	ADJ
ejpam-2610	23	23	to	to	PART
ejpam-2610	23	24	precise	precise	VERB
ejpam-2610	23	25	.	.	PUNCT
ejpam-2610	24	1	to	to	PART
ejpam-2610	24	2	stress	stress	VERB
ejpam-2610	24	3	the	the	DET
ejpam-2610	24	4	fact	fact	NOUN
ejpam-2610	24	5	that	that	SCONJ
ejpam-2610	24	6	the	the	DET
ejpam-2610	24	7	constant	constant	ADJ
ejpam-2610	24	8	depends	depend	VERB
ejpam-2610	24	9	only	only	ADV
ejpam-2610	24	10	on	on	ADP
ejpam-2610	24	11	α	α	PROPN
ejpam-2610	24	12	,	,	PUNCT
ejpam-2610	24	13	β	β	X
ejpam-2610	24	14	,	,	PUNCT
ejpam-2610	24	15	.	.	PUNCT
ejpam-2610	25	1	.	.	PUNCT
ejpam-2610	26	1	.	.	PUNCT
ejpam-2610	27	1	,	,	PUNCT
ejpam-2610	27	2	we	we	PRON
ejpam-2610	27	3	will	will	AUX
ejpam-2610	27	4	write	write	VERB
ejpam-2610	27	5	m(α	m(α	PROPN
ejpam-2610	27	6	,	,	PUNCT
ejpam-2610	27	7	β	β	X
ejpam-2610	27	8	,	,	PUNCT
ejpam-2610	27	9	.	.	PUNCT
ejpam-2610	27	10	.	.	PUNCT
ejpam-2610	27	11	.	.	PUNCT
ejpam-2610	27	12	)	)	PUNCT
ejpam-2610	27	13	.	.	PUNCT
ejpam-2610	28	1	for	for	ADP
ejpam-2610	28	2	a	a	DET
ejpam-2610	28	3	positive	positive	ADJ
ejpam-2610	28	4	operator	operator	NOUN
ejpam-2610	28	5	a	a	PRON
ejpam-2610	28	6	in	in	ADP
ejpam-2610	28	7	the	the	DET
ejpam-2610	28	8	banach	banach	NOUN
ejpam-2610	28	9	space	space	NOUN
ejpam-2610	28	10	e	e	NOUN
ejpam-2610	28	11	,	,	PUNCT
ejpam-2610	28	12	let	let	VERB
ejpam-2610	28	13	us	we	PRON
ejpam-2610	28	14	define	define	VERB
ejpam-2610	28	15	the	the	DET
ejpam-2610	28	16	fractional	fractional	ADJ
ejpam-2610	28	17	spaces	space	NOUN
ejpam-2610	28	18	eα	eα	NOUN
ejpam-2610	28	19	=	=	SYM
ejpam-2610	28	20	eα(e	eα(e	PROPN
ejpam-2610	28	21	,	,	PUNCT
ejpam-2610	28	22	a)(0	a)(0	PROPN
ejpam-2610	28	23	<	<	X
ejpam-2610	28	24	α	α	X
ejpam-2610	28	25	<	<	X
ejpam-2610	28	26	1	1	NUM
ejpam-2610	28	27	)	)	PUNCT
ejpam-2610	28	28	consisting	consist	VERB
ejpam-2610	28	29	of	of	ADP
ejpam-2610	28	30	those	those	PRON
ejpam-2610	28	31	v	v	ADP
ejpam-2610	28	32	∈	∈	NOUN
ejpam-2610	28	33	e	e	NOUN
ejpam-2610	28	34	for	for	ADP
ejpam-2610	28	35	which	which	PRON
ejpam-2610	28	36	the	the	DET
ejpam-2610	28	37	norm	norm	NOUN
ejpam-2610	28	38	‖v‖eα	‖v‖eα	NOUN
ejpam-2610	28	39	=	=	PUNCT
ejpam-2610	28	40	sup	sup	PROPN
ejpam-2610	28	41	λ>0	λ>0	NOUN
ejpam-2610	28	42	λα‖a(λ+	λα‖a(λ+	X
ejpam-2610	28	43	a)−1v‖e	a)−1v‖e	X
ejpam-2610	29	1	+	+	CCONJ
ejpam-2610	29	2	‖v‖e	‖v‖e	NOUN
ejpam-2610	29	3	is	be	AUX
ejpam-2610	29	4	finite	finite	ADJ
ejpam-2610	29	5	.	.	PUNCT
ejpam-2610	30	1	it	it	PRON
ejpam-2610	30	2	is	be	AUX
ejpam-2610	30	3	well	well	ADV
ejpam-2610	30	4	-	-	PUNCT
ejpam-2610	30	5	known	know	VERB
ejpam-2610	30	6	that	that	SCONJ
ejpam-2610	30	7	from	from	ADP
ejpam-2610	30	8	the	the	DET
ejpam-2610	30	9	positivity	positivity	NOUN
ejpam-2610	30	10	of	of	ADP
ejpam-2610	30	11	operator	operator	NOUN
ejpam-2610	30	12	a	a	PRON
ejpam-2610	30	13	in	in	ADP
ejpam-2610	30	14	the	the	DET
ejpam-2610	30	15	banach	banach	NOUN
ejpam-2610	30	16	space	space	NOUN
ejpam-2610	30	17	e	e	NOUN
ejpam-2610	30	18	it	it	PRON
ejpam-2610	30	19	follows	follow	VERB
ejpam-2610	30	20	the	the	DET
ejpam-2610	30	21	positivity	positivity	NOUN
ejpam-2610	30	22	of	of	ADP
ejpam-2610	30	23	this	this	DET
ejpam-2610	30	24	operator	operator	NOUN
ejpam-2610	30	25	in	in	ADP
ejpam-2610	30	26	fractional	fractional	ADJ
ejpam-2610	30	27	spaces	space	NOUN
ejpam-2610	30	28	eα	eα	NOUN
ejpam-2610	30	29	=	=	SYM
ejpam-2610	30	30	eα(e	eα(e	PROPN
ejpam-2610	30	31	,	,	PUNCT
ejpam-2610	30	32	a)(0	a)(0	PROPN
ejpam-2610	30	33	<	<	X
ejpam-2610	30	34	α	α	X
ejpam-2610	30	35	<	<	X
ejpam-2610	30	36	1	1	NUM
ejpam-2610	30	37	)	)	PUNCT
ejpam-2610	30	38	.	.	PUNCT
ejpam-2610	31	1	in	in	ADP
ejpam-2610	31	2	this	this	DET
ejpam-2610	31	3	study	study	NOUN
ejpam-2610	31	4	,	,	PUNCT
ejpam-2610	31	5	we	we	PRON
ejpam-2610	31	6	consider	consider	VERB
ejpam-2610	31	7	the	the	DET
ejpam-2610	31	8	second	second	ADJ
ejpam-2610	31	9	order	order	NOUN
ejpam-2610	31	10	differential	differential	NOUN
ejpam-2610	31	11	operator	operator	NOUN
ejpam-2610	31	12	au(t	au(t	PUNCT
ejpam-2610	31	13	)	)	PUNCT
ejpam-2610	31	14	=	=	SYM
ejpam-2610	32	1	−ut	−ut	NOUN
ejpam-2610	32	2	t(t	t(t	NOUN
ejpam-2610	32	3	)	)	PUNCT
ejpam-2610	33	1	+	+	CCONJ
ejpam-2610	33	2	u(t	u(t	NOUN
ejpam-2610	33	3	)	)	PUNCT
ejpam-2610	33	4	(	(	PUNCT
ejpam-2610	33	5	1	1	X
ejpam-2610	33	6	)	)	PUNCT
ejpam-2610	33	7	with	with	ADP
ejpam-2610	33	8	domain	domain	NOUN
ejpam-2610	33	9	d(a	d(a	PROPN
ejpam-2610	33	10	)	)	PUNCT
ejpam-2610	33	11	=	=	PRON
ejpam-2610	33	12	{	{	PUNCT
ejpam-2610	33	13	u	u	NOUN
ejpam-2610	33	14	:	:	PUNCT
ejpam-2610	33	15	ut	ut	PROPN
ejpam-2610	33	16	t	t	PROPN
ejpam-2610	33	17	,	,	PUNCT
ejpam-2610	33	18	u	u	PROPN
ejpam-2610	33	19	∈	∈	PROPN
ejpam-2610	33	20	c	c	PROPN
ejpam-2610	33	21	�	�	PROPN
ejpam-2610	33	22	r+	r+	PUNCT
ejpam-2610	33	23	�	�	PROPN
ejpam-2610	33	24	,	,	PUNCT
ejpam-2610	33	25	u(0	u(0	PROPN
ejpam-2610	33	26	)	)	PUNCT
ejpam-2610	33	27	=	=	SYM
ejpam-2610	34	1	0,u(∞	0,u(∞	ADJ
ejpam-2610	34	2	)	)	PUNCT
ejpam-2610	34	3	=	=	SYM
ejpam-2610	35	1	0	0	NUM
ejpam-2610	35	2	}	}	PUNCT
ejpam-2610	35	3	,	,	PUNCT
ejpam-2610	35	4	where	where	SCONJ
ejpam-2610	35	5	r+	r+	PUNCT
ejpam-2610	35	6	=	=	PUNCT
ejpam-2610	35	7	[	[	X
ejpam-2610	35	8	0,∞	0,∞	NUM
ejpam-2610	35	9	)	)	PUNCT
ejpam-2610	35	10	.	.	PUNCT
ejpam-2610	36	1	the	the	DET
ejpam-2610	36	2	green	green	PROPN
ejpam-2610	36	3	’s	’s	PART
ejpam-2610	36	4	function	function	NOUN
ejpam-2610	36	5	of	of	ADP
ejpam-2610	36	6	a	a	PRON
ejpam-2610	36	7	is	be	AUX
ejpam-2610	36	8	constructed	construct	VERB
ejpam-2610	36	9	.	.	PUNCT
ejpam-2610	37	1	the	the	DET
ejpam-2610	37	2	positivity	positivity	NOUN
ejpam-2610	37	3	of	of	ADP
ejpam-2610	37	4	the	the	DET
ejpam-2610	37	5	operator	operator	NOUN
ejpam-2610	37	6	a	a	PRON
ejpam-2610	37	7	in	in	ADP
ejpam-2610	37	8	the	the	DET
ejpam-2610	37	9	banach	banach	NOUN
ejpam-2610	37	10	space	space	NOUN
ejpam-2610	37	11	e	e	NOUN
ejpam-2610	37	12	=	=	SYM
ejpam-2610	37	13	c	c	PROPN
ejpam-2610	37	14	�	�	PROPN
ejpam-2610	37	15	r+	r+	PUNCT
ejpam-2610	37	16	�	�	PROPN
ejpam-2610	37	17	with	with	ADP
ejpam-2610	37	18	norm	norm	NOUN
ejpam-2610	37	19	ϕ	ϕ	X
ejpam-2610	37	20	c(r+	c(r+	NOUN
ejpam-2610	37	21	)	)	PUNCT
ejpam-2610	37	22	=	=	SYM
ejpam-2610	37	23	sup	sup	NOUN
ejpam-2610	37	24	t≥0	t≥0	NOUN
ejpam-2610	37	25	|ϕ(t)|	|ϕ(t)|	NUM
ejpam-2610	37	26	is	be	AUX
ejpam-2610	37	27	proved	prove	VERB
ejpam-2610	37	28	.	.	PUNCT
ejpam-2610	38	1	moreover	moreover	ADV
ejpam-2610	38	2	,	,	PUNCT
ejpam-2610	38	3	the	the	DET
ejpam-2610	38	4	structure	structure	NOUN
ejpam-2610	38	5	of	of	ADP
ejpam-2610	38	6	the	the	DET
ejpam-2610	38	7	fractional	fractional	ADJ
ejpam-2610	38	8	spaces	space	NOUN
ejpam-2610	38	9	eα(e	eα(e	PROPN
ejpam-2610	38	10	,	,	PUNCT
ejpam-2610	38	11	a),α	a),α	PROPN
ejpam-2610	38	12	∈	∈	PROPN
ejpam-2610	38	13	(	(	PUNCT
ejpam-2610	38	14	0,1/2	0,1/2	PROPN
ejpam-2610	38	15	)	)	PUNCT
ejpam-2610	38	16	are	be	AUX
ejpam-2610	38	17	established	establish	VERB
ejpam-2610	38	18	and	and	CCONJ
ejpam-2610	38	19	the	the	DET
ejpam-2610	38	20	positivity	positivity	NOUN
ejpam-2610	38	21	of	of	ADP
ejpam-2610	38	22	a	a	PRON
ejpam-2610	38	23	in	in	ADP
ejpam-2610	38	24	the	the	DET
ejpam-2610	38	25	hölder	hölder	NOUN
ejpam-2610	38	26	spaces	space	NOUN
ejpam-2610	38	27	c2α	c2α	PROPN
ejpam-2610	38	28	�	�	PROPN
ejpam-2610	38	29	r+	r+	PUNCT
ejpam-2610	38	30	�	�	PROPN
ejpam-2610	38	31	,	,	PUNCT
ejpam-2610	38	32	α	α	PROPN
ejpam-2610	38	33	∈	∈	PROPN
ejpam-2610	38	34	(	(	PUNCT
ejpam-2610	38	35	0,1/2	0,1/2	PROPN
ejpam-2610	38	36	)	)	PUNCT
ejpam-2610	38	37	is	be	AUX
ejpam-2610	38	38	established	establish	VERB
ejpam-2610	38	39	.	.	PUNCT
ejpam-2610	39	1	2	2	X
ejpam-2610	39	2	.	.	X
ejpam-2610	39	3	green	green	PROPN
ejpam-2610	39	4	’s	’s	PART
ejpam-2610	39	5	function	function	NOUN
ejpam-2610	39	6	of	of	ADP
ejpam-2610	39	7	a	a	PRON
ejpam-2610	39	8	and	and	CCONJ
ejpam-2610	39	9	positivity	positivity	NOUN
ejpam-2610	39	10	of	of	ADP
ejpam-2610	39	11	a	a	DET
ejpam-2610	39	12	in	in	ADP
ejpam-2610	39	13	c	c	PROPN
ejpam-2610	39	14	�	�	PROPN
ejpam-2610	39	15	r+	r+	PUNCT
ejpam-2610	39	16	�	�	PROPN
ejpam-2610	39	17	to	to	PART
ejpam-2610	39	18	find	find	VERB
ejpam-2610	39	19	the	the	DET
ejpam-2610	39	20	green	green	NOUN
ejpam-2610	39	21	’s	’s	PART
ejpam-2610	39	22	function	function	NOUN
ejpam-2610	39	23	of	of	ADP
ejpam-2610	39	24	operator	operator	NOUN
ejpam-2610	39	25	a	a	PRON
ejpam-2610	39	26	we	we	PRON
ejpam-2610	39	27	need	need	VERB
ejpam-2610	39	28	to	to	PART
ejpam-2610	39	29	solve	solve	VERB
ejpam-2610	39	30	the	the	DET
ejpam-2610	39	31	resolvent	resolvent	ADJ
ejpam-2610	39	32	equation	equation	NOUN
ejpam-2610	39	33	au(t	au(t	PUNCT
ejpam-2610	39	34	)	)	PUNCT
ejpam-2610	39	35	+	+	NOUN
ejpam-2610	39	36	λu(t	λu(t	NOUN
ejpam-2610	39	37	)	)	PUNCT
ejpam-2610	39	38	=	=	SYM
ejpam-2610	39	39	ϕ(t	ϕ(t	NUM
ejpam-2610	39	40	)	)	PUNCT
ejpam-2610	39	41	,	,	PUNCT
ejpam-2610	39	42	0	0	NUM
ejpam-2610	39	43	<	<	X
ejpam-2610	39	44	t	t	X
ejpam-2610	39	45	<	<	X
ejpam-2610	39	46	∞	∞	PROPN
ejpam-2610	39	47	or	or	CCONJ
ejpam-2610	39	48	¨	¨	NOUN
ejpam-2610	39	49	−ut	−ut	NOUN
ejpam-2610	39	50	t(t	t(t	NOUN
ejpam-2610	39	51	)	)	PUNCT
ejpam-2610	40	1	+	+	CCONJ
ejpam-2610	40	2	(	(	PUNCT
ejpam-2610	40	3	1+λ)u(t	1+λ)u(t	NUM
ejpam-2610	40	4	)	)	PUNCT
ejpam-2610	40	5	=	=	SYM
ejpam-2610	41	1	ϕ(t	ϕ(t	NUM
ejpam-2610	41	2	)	)	PUNCT
ejpam-2610	41	3	,	,	PUNCT
ejpam-2610	41	4	0	0	NUM
ejpam-2610	41	5	<	<	X
ejpam-2610	41	6	t	t	X
ejpam-2610	41	7	<	<	X
ejpam-2610	41	8	∞	∞	PROPN
ejpam-2610	41	9	,	,	PUNCT
ejpam-2610	41	10	u(0	u(0	NOUN
ejpam-2610	41	11	)	)	PUNCT
ejpam-2610	41	12	=	=	SYM
ejpam-2610	41	13	0	0	NUM
ejpam-2610	41	14	,	,	PUNCT
ejpam-2610	41	15	u(∞	u(∞	ADJ
ejpam-2610	41	16	)	)	PUNCT
ejpam-2610	41	17	=	=	SYM
ejpam-2610	41	18	0	0	X
ejpam-2610	41	19	.	.	PUNCT
ejpam-2610	42	1	(	(	PUNCT
ejpam-2610	42	2	2	2	X
ejpam-2610	42	3	)	)	PUNCT
ejpam-2610	42	4	let	let	VERB
ejpam-2610	42	5	us	we	PRON
ejpam-2610	42	6	give	give	VERB
ejpam-2610	42	7	a	a	DET
ejpam-2610	42	8	lemma	lemma	PROPN
ejpam-2610	42	9	that	that	PRON
ejpam-2610	42	10	will	will	AUX
ejpam-2610	42	11	be	be	AUX
ejpam-2610	42	12	needed	need	VERB
ejpam-2610	42	13	below	below	ADV
ejpam-2610	42	14	.	.	PUNCT
ejpam-2610	43	1	a.	a.	PROPN
ejpam-2610	43	2	ashyralyev	ashyralyev	PROPN
ejpam-2610	43	3	,	,	PUNCT
ejpam-2610	43	4	s.	s.	PROPN
ejpam-2610	43	5	akturk	akturk	PROPN
ejpam-2610	43	6	/	/	SYM
ejpam-2610	43	7	eur	eur	PROPN
ejpam-2610	43	8	.	.	PUNCT
ejpam-2610	44	1	j.	j.	PROPN
ejpam-2610	44	2	pure	pure	PROPN
ejpam-2610	44	3	appl	appl	PROPN
ejpam-2610	44	4	.	.	PROPN
ejpam-2610	44	5	math	math	PROPN
ejpam-2610	44	6	,	,	PUNCT
ejpam-2610	44	7	9	9	NUM
ejpam-2610	44	8	(	(	PUNCT
ejpam-2610	44	9	2016	2016	NUM
ejpam-2610	44	10	)	)	PUNCT
ejpam-2610	44	11	,	,	PUNCT
ejpam-2610	44	12	165	165	NUM
ejpam-2610	44	13	-	-	SYM
ejpam-2610	44	14	174	174	NUM
ejpam-2610	44	15	167	167	NUM
ejpam-2610	44	16	lemma	lemma	PROPN
ejpam-2610	44	17	1	1	NUM
ejpam-2610	44	18	.	.	PUNCT
ejpam-2610	45	1	for	for	ADP
ejpam-2610	45	2	λ	λ	PROPN
ejpam-2610	45	3	≥	≥	NOUN
ejpam-2610	45	4	0	0	NUM
ejpam-2610	45	5	,	,	PUNCT
ejpam-2610	45	6	equation	equation	NOUN
ejpam-2610	45	7	(	(	PUNCT
ejpam-2610	45	8	2	2	X
ejpam-2610	45	9	)	)	PUNCT
ejpam-2610	45	10	is	be	AUX
ejpam-2610	45	11	uniquely	uniquely	ADV
ejpam-2610	45	12	solvable	solvable	ADJ
ejpam-2610	45	13	and	and	CCONJ
ejpam-2610	45	14	the	the	DET
ejpam-2610	45	15	following	follow	VERB
ejpam-2610	45	16	formula	formula	NOUN
ejpam-2610	45	17	holds	hold	VERB
ejpam-2610	45	18	:	:	PUNCT
ejpam-2610	45	19	u(t	u(t	NOUN
ejpam-2610	45	20	)	)	PUNCT
ejpam-2610	45	21	=	=	PUNCT
ejpam-2610	46	1	(	(	PUNCT
ejpam-2610	46	2	a+λ)−1ϕ(t	a+λ)−1ϕ(t	SYM
ejpam-2610	46	3	)	)	PUNCT
ejpam-2610	46	4	=	=	SYM
ejpam-2610	47	1	∫	∫	PROPN
ejpam-2610	47	2	∞	∞	PROPN
ejpam-2610	47	3	0	0	NUM
ejpam-2610	48	1	g(t	g(t	PROPN
ejpam-2610	48	2	,	,	PUNCT
ejpam-2610	48	3	s)ϕ(s)ds	s)ϕ(s)ds	NOUN
ejpam-2610	48	4	(	(	PUNCT
ejpam-2610	48	5	3	3	NUM
ejpam-2610	48	6	)	)	PUNCT
ejpam-2610	49	1	where	where	SCONJ
ejpam-2610	49	2	g(t	g(t	PROPN
ejpam-2610	49	3	,	,	PUNCT
ejpam-2610	49	4	s	s	PART
ejpam-2610	49	5	)	)	PUNCT
ejpam-2610	49	6	=	=	SYM
ejpam-2610	50	1	e−	e−	PROPN
ejpam-2610	50	2	p	p	NOUN
ejpam-2610	50	3	1+λ|t−s|	1+λ|t−s|	PROPN
ejpam-2610	50	4	−	−	PROPN
ejpam-2610	50	5	e−	e−	PROPN
ejpam-2610	50	6	p	p	PROPN
ejpam-2610	50	7	1+λ(t+s	1+λ(t+s	NUM
ejpam-2610	50	8	)	)	PUNCT
ejpam-2610	50	9	2	2	NUM
ejpam-2610	51	1	p	p	NOUN
ejpam-2610	51	2	1+λ	1+λ	NUM
ejpam-2610	51	3	,	,	PUNCT
ejpam-2610	51	4	t	t	PROPN
ejpam-2610	51	5	,	,	PUNCT
ejpam-2610	51	6	s	s	PART
ejpam-2610	51	7	≥	≥	NOUN
ejpam-2610	51	8	0	0	NUM
ejpam-2610	51	9	.	.	PUNCT
ejpam-2610	52	1	now	now	ADV
ejpam-2610	52	2	,	,	PUNCT
ejpam-2610	52	3	we	we	PRON
ejpam-2610	52	4	will	will	AUX
ejpam-2610	52	5	prove	prove	VERB
ejpam-2610	52	6	the	the	DET
ejpam-2610	52	7	positivity	positivity	NOUN
ejpam-2610	52	8	of	of	ADP
ejpam-2610	52	9	a	a	PRON
ejpam-2610	52	10	in	in	ADP
ejpam-2610	52	11	the	the	DET
ejpam-2610	52	12	banach	banach	NOUN
ejpam-2610	52	13	space	space	NOUN
ejpam-2610	52	14	c	c	PROPN
ejpam-2610	52	15	�	�	PROPN
ejpam-2610	52	16	r+	r+	PUNCT
ejpam-2610	52	17	�	�	PROPN
ejpam-2610	52	18	.	.	PUNCT
ejpam-2610	53	1	theorem	theorem	VERB
ejpam-2610	53	2	1	1	NUM
ejpam-2610	53	3	.	.	PUNCT
ejpam-2610	54	1	for	for	ADP
ejpam-2610	54	2	λ	λ	PROPN
ejpam-2610	54	3	in	in	ADP
ejpam-2610	54	4	the	the	DET
ejpam-2610	54	5	sector	sector	NOUN
ejpam-2610	54	6	σϕ0	σϕ0	NOUN
ejpam-2610	54	7	=	=	SYM
ejpam-2610	54	8	{	{	PUNCT
ejpam-2610	54	9	λ	λ	X
ejpam-2610	54	10	=	=	X
ejpam-2610	54	11	̺eiθ	̺eiθ	NUM
ejpam-2610	54	12	;	;	PUNCT
ejpam-2610	54	13	|θ	|θ	VERB
ejpam-2610	54	14	|	|	ADV
ejpam-2610	54	15	≤	≤	ADJ
ejpam-2610	54	16	ϕ0	ϕ0	NOUN
ejpam-2610	54	17	<	<	X
ejpam-2610	54	18	π/2	π/2	NUM
ejpam-2610	54	19	}	}	PUNCT
ejpam-2610	54	20	,	,	PUNCT
ejpam-2610	54	21	the	the	DET
ejpam-2610	54	22	following	follow	VERB
ejpam-2610	54	23	estimate	estimate	NOUN
ejpam-2610	54	24	holds	hold	VERB
ejpam-2610	54	25	:	:	PUNCT
ejpam-2610	54	26	(	(	PUNCT
ejpam-2610	54	27	a+λ)−1	a+λ)−1	PROPN
ejpam-2610	54	28	c(r+)→c(r+	c(r+)→c(r+	NOUN
ejpam-2610	54	29	)	)	PUNCT
ejpam-2610	54	30	≤	≤	NOUN
ejpam-2610	54	31	m(ϕ0	m(ϕ0	NOUN
ejpam-2610	54	32	)	)	PUNCT
ejpam-2610	54	33	1	1	NUM
ejpam-2610	54	34	+	+	NUM
ejpam-2610	54	35	|λ|	|λ|	NOUN
ejpam-2610	54	36	(	(	PUNCT
ejpam-2610	54	37	4	4	NUM
ejpam-2610	54	38	)	)	PUNCT
ejpam-2610	54	39	where	where	SCONJ
ejpam-2610	54	40	the	the	DET
ejpam-2610	54	41	resolvent	resolvent	NOUN
ejpam-2610	54	42	(	(	PUNCT
ejpam-2610	54	43	a+λ)−1	a+λ)−1	PROPN
ejpam-2610	54	44	defined	define	VERB
ejpam-2610	54	45	by	by	ADP
ejpam-2610	54	46	formula	formula	NOUN
ejpam-2610	54	47	(	(	PUNCT
ejpam-2610	54	48	3	3	NUM
ejpam-2610	54	49	)	)	PUNCT
ejpam-2610	54	50	.	.	PUNCT
ejpam-2610	55	1	proof	proof	NOUN
ejpam-2610	55	2	.	.	PUNCT
ejpam-2610	56	1	for	for	ADP
ejpam-2610	56	2	λ	λ	NOUN
ejpam-2610	56	3	=	=	PRON
ejpam-2610	56	4	|λ|	|λ|	PROPN
ejpam-2610	56	5	eiϕ	eiϕ	PRON
ejpam-2610	56	6	∈	∈	PROPN
ejpam-2610	56	7	σϕ0	σϕ0	NOUN
ejpam-2610	56	8	,	,	PUNCT
ejpam-2610	56	9	we	we	PRON
ejpam-2610	56	10	have	have	VERB
ejpam-2610	56	11	1	1	NUM
ejpam-2610	56	12	+	+	NUM
ejpam-2610	56	13	λ	λ	X
ejpam-2610	56	14	=	=	SYM
ejpam-2610	56	15	|1+λ|	|1+λ|	PROPN
ejpam-2610	56	16	eiψ	eiψ	PROPN
ejpam-2610	56	17	,	,	PUNCT
ejpam-2610	56	18	ψ	ψ	VERB
ejpam-2610	56	19	≤	≤	NUM
ejpam-2610	56	20	ϕ	ϕ	X
ejpam-2610	56	21	<	<	X
ejpam-2610	56	22	ϕ0	ϕ0	NOUN
ejpam-2610	56	23	<	<	X
ejpam-2610	56	24	π	π	PROPN
ejpam-2610	56	25	2	2	NUM
ejpam-2610	56	26	.	.	PUNCT
ejpam-2610	57	1	then	then	ADV
ejpam-2610	57	2	,	,	PUNCT
ejpam-2610	57	3	p	p	X
ejpam-2610	57	4	1+λ	1+λ	NUM
ejpam-2610	57	5	=	=	SYM
ejpam-2610	57	6	|1+λ|1/2	|1+λ|1/2	PROPN
ejpam-2610	57	7	ei	ei	NOUN
ejpam-2610	57	8	ψ	ψ	X
ejpam-2610	57	9	2	2	NUM
ejpam-2610	57	10	with	with	ADP
ejpam-2610	57	11	ψ	ψ	X
ejpam-2610	57	12	<	<	X
ejpam-2610	57	13	π	π	PROPN
ejpam-2610	57	14	4	4	NUM
ejpam-2610	57	15	.	.	PUNCT
ejpam-2610	58	1	clearly	clearly	ADV
ejpam-2610	58	2	,	,	PUNCT
ejpam-2610	58	3	we	we	PRON
ejpam-2610	58	4	have	have	VERB
ejpam-2610	58	5	�	�	PROPN
ejpam-2610	58	6	�	�	PROPN
ejpam-2610	58	7	�	�	PROPN
ejpam-2610	58	8	p	p	PROPN
ejpam-2610	58	9	1+λ	1+λ	PROPN
ejpam-2610	58	10	�	�	PROPN
ejpam-2610	58	11	�	�	PROPN
ejpam-2610	58	12	�	�	PROPN
ejpam-2610	58	13	=	=	NOUN
ejpam-2610	58	14	4	4	NUM
ejpam-2610	58	15	q	q	NOUN
ejpam-2610	58	16	1	1	NUM
ejpam-2610	58	17	+	+	SYM
ejpam-2610	58	18	2	2	NUM
ejpam-2610	58	19	|λ|	|λ|	NOUN
ejpam-2610	58	20	cosϕ	cosϕ	NOUN
ejpam-2610	58	21	+	+	CCONJ
ejpam-2610	58	22	|λ|2	|λ|2	PROPN
ejpam-2610	58	23	≥	≥	NOUN
ejpam-2610	58	24	m(ϕ0	m(ϕ0	NOUN
ejpam-2610	58	25	)	)	PUNCT
ejpam-2610	58	26	æ	æ	PROPN
ejpam-2610	59	1	1	1	NUM
ejpam-2610	59	2	+	+	NUM
ejpam-2610	59	3	|λ|	|λ|	NOUN
ejpam-2610	59	4	.	.	PUNCT
ejpam-2610	60	1	(	(	PUNCT
ejpam-2610	60	2	5	5	X
ejpam-2610	60	3	)	)	PUNCT
ejpam-2610	60	4	using	use	VERB
ejpam-2610	60	5	formula	formula	NOUN
ejpam-2610	60	6	(	(	PUNCT
ejpam-2610	60	7	3	3	NUM
ejpam-2610	60	8	)	)	PUNCT
ejpam-2610	60	9	,	,	PUNCT
ejpam-2610	60	10	estimate	estimate	INTJ
ejpam-2610	60	11	(	(	PUNCT
ejpam-2610	60	12	5	5	NUM
ejpam-2610	60	13	)	)	PUNCT
ejpam-2610	60	14	and	and	CCONJ
ejpam-2610	60	15	the	the	DET
ejpam-2610	60	16	triangle	triangle	NOUN
ejpam-2610	60	17	inequality	inequality	NOUN
ejpam-2610	60	18	,	,	PUNCT
ejpam-2610	60	19	we	we	PRON
ejpam-2610	60	20	get	get	VERB
ejpam-2610	60	21	�	�	PROPN
ejpam-2610	60	22	�	�	PROPN
ejpam-2610	60	23	(	(	PUNCT
ejpam-2610	60	24	a+λ)−1	a+λ)−1	PROPN
ejpam-2610	60	25	f	f	PROPN
ejpam-2610	60	26	(	(	PUNCT
ejpam-2610	60	27	t	t	PROPN
ejpam-2610	60	28	)	)	PUNCT
ejpam-2610	60	29	�	�	PROPN
ejpam-2610	60	30	�	�	PROPN
ejpam-2610	60	31	≤	≤	PROPN
ejpam-2610	60	32	f	f	X
ejpam-2610	60	33	c(r+	c(r+	NOUN
ejpam-2610	60	34	)	)	PUNCT
ejpam-2610	60	35	m(ϕ0	m(ϕ0	NOUN
ejpam-2610	60	36	)	)	PUNCT
ejpam-2610	61	1	p	p	NOUN
ejpam-2610	62	1	1	1	NUM
ejpam-2610	62	2	+	+	NUM
ejpam-2610	62	3	|λ|	|λ|	PROPN
ejpam-2610	62	4	∞	∞	NUM
ejpam-2610	62	5	∫	∫	PROPN
ejpam-2610	62	6	0	0	PUNCT
ejpam-2610	62	7	e−m(ϕ0	e−m(ϕ0	NOUN
ejpam-2610	62	8	)	)	PUNCT
ejpam-2610	63	1	p	p	X
ejpam-2610	63	2	1+|λ||t−s|ds	1+|λ||t−s|ds	NUM
ejpam-2610	63	3	≤	≤	NUM
ejpam-2610	63	4	f	f	X
ejpam-2610	63	5	c(r+	c(r+	NOUN
ejpam-2610	63	6	)	)	PUNCT
ejpam-2610	63	7	m(ϕ0	m(ϕ0	NOUN
ejpam-2610	63	8	)	)	PUNCT
ejpam-2610	64	1	p	p	NOUN
ejpam-2610	64	2	1	1	NUM
ejpam-2610	64	3	+	+	NUM
ejpam-2610	64	4	|λ|	|λ|	NOUN
ejpam-2610	64	5			NOUN
ejpam-2610	64	6			NOUN
ejpam-2610	64	7	t	t	PROPN
ejpam-2610	64	8	∫	∫	PROPN
ejpam-2610	64	9	0	0	PUNCT
ejpam-2610	65	1	e−m(ϕ0	e−m(ϕ0	NOUN
ejpam-2610	65	2	)	)	PUNCT
ejpam-2610	66	1	p	p	X
ejpam-2610	66	2	1+|λ|(t−s)ds+	1+|λ|(t−s)ds+	NUM
ejpam-2610	66	3	∞	∞	NUM
ejpam-2610	66	4	∫	∫	PROPN
ejpam-2610	66	5	t	t	PROPN
ejpam-2610	66	6	e−m(ϕ0	e−m(ϕ0	PROPN
ejpam-2610	66	7	)	)	PUNCT
ejpam-2610	66	8	p	p	NOUN
ejpam-2610	67	1	1+|λ|(s−t)ds	1+|λ|(s−t)ds	NUM
ejpam-2610	67	2			PUNCT
ejpam-2610	67	3			PUNCT
ejpam-2610	68	1	≤m(ϕ0	≤m(ϕ0	NOUN
ejpam-2610	68	2	)	)	PUNCT
ejpam-2610	68	3	1	1	NUM
ejpam-2610	68	4	+	+	NUM
ejpam-2610	68	5	|λ|	|λ|	NOUN
ejpam-2610	68	6	.	.	PUNCT
ejpam-2610	69	1	this	this	PRON
ejpam-2610	69	2	finishes	finish	VERB
ejpam-2610	69	3	the	the	DET
ejpam-2610	69	4	proof	proof	NOUN
ejpam-2610	69	5	of	of	ADP
ejpam-2610	69	6	theorem	theorem	NOUN
ejpam-2610	69	7	1	1	NUM
ejpam-2610	69	8	.	.	PUNCT
ejpam-2610	70	1	now	now	ADV
ejpam-2610	70	2	,	,	PUNCT
ejpam-2610	70	3	we	we	PRON
ejpam-2610	70	4	will	will	AUX
ejpam-2610	70	5	introduce	introduce	VERB
ejpam-2610	70	6	the	the	DET
ejpam-2610	70	7	banach	banach	NOUN
ejpam-2610	70	8	space	space	NOUN
ejpam-2610	70	9	c2α	c2α	PROPN
ejpam-2610	70	10	�	�	PROPN
ejpam-2610	70	11	r+	r+	PUNCT
ejpam-2610	70	12	�	�	PROPN
ejpam-2610	70	13	(	(	PUNCT
ejpam-2610	70	14	0	0	NUM
ejpam-2610	70	15	<	<	X
ejpam-2610	70	16	α	α	X
ejpam-2610	70	17	<	<	X
ejpam-2610	70	18	1	1	NUM
ejpam-2610	70	19	)	)	PUNCT
ejpam-2610	70	20	of	of	ADP
ejpam-2610	70	21	all	all	DET
ejpam-2610	70	22	continuous	continuous	ADJ
ejpam-2610	70	23	functions	function	NOUN
ejpam-2610	70	24	ϕ(x	ϕ(x	PRON
ejpam-2610	70	25	)	)	PUNCT
ejpam-2610	70	26	defined	define	VERB
ejpam-2610	70	27	on	on	ADP
ejpam-2610	70	28	r+	r+	NOUN
ejpam-2610	70	29	and	and	CCONJ
ejpam-2610	70	30	satisfying	satisfy	VERB
ejpam-2610	70	31	a	a	DET
ejpam-2610	70	32	hölder	hölder	NOUN
ejpam-2610	70	33	condition	condition	NOUN
ejpam-2610	70	34	for	for	ADP
ejpam-2610	70	35	which	which	PRON
ejpam-2610	70	36	the	the	DET
ejpam-2610	70	37	following	follow	VERB
ejpam-2610	70	38	norm	norm	NOUN
ejpam-2610	70	39	is	be	AUX
ejpam-2610	70	40	finite	finite	ADJ
ejpam-2610	70	41	:	:	PUNCT
ejpam-2610	70	42	‖ϕ‖c2α(r+	‖ϕ‖c2α(r+	NUM
ejpam-2610	70	43	)	)	PUNCT
ejpam-2610	70	44	=	=	SYM
ejpam-2610	70	45	‖ϕ‖c(r+	‖ϕ‖c(r+	NOUN
ejpam-2610	70	46	)	)	PUNCT
ejpam-2610	71	1	+	+	CCONJ
ejpam-2610	71	2	sup	sup	NOUN
ejpam-2610	71	3	t1	t1	NOUN
ejpam-2610	71	4	6	6	NUM
ejpam-2610	71	5	=	=	NOUN
ejpam-2610	71	6	t2	t2	PROPN
ejpam-2610	71	7	t1,t2∈r+	t1,t2∈r+	NOUN
ejpam-2610	71	8	|ϕ(t1)−ϕ(t2)|	|ϕ(t1)−ϕ(t2)|	PART
ejpam-2610	71	9	|t1	|t1	NOUN
ejpam-2610	71	10	−	−	ADP
ejpam-2610	71	11	t2|2α	t2|2α	NOUN
ejpam-2610	71	12	.	.	PUNCT
ejpam-2610	72	1	a.	a.	PROPN
ejpam-2610	72	2	ashyralyev	ashyralyev	PROPN
ejpam-2610	72	3	,	,	PUNCT
ejpam-2610	72	4	s.	s.	PROPN
ejpam-2610	72	5	akturk	akturk	PROPN
ejpam-2610	72	6	/	/	SYM
ejpam-2610	72	7	eur	eur	PROPN
ejpam-2610	72	8	.	.	PUNCT
ejpam-2610	73	1	j.	j.	PROPN
ejpam-2610	73	2	pure	pure	PROPN
ejpam-2610	73	3	appl	appl	PROPN
ejpam-2610	73	4	.	.	PROPN
ejpam-2610	73	5	math	math	PROPN
ejpam-2610	73	6	,	,	PUNCT
ejpam-2610	73	7	9	9	NUM
ejpam-2610	73	8	(	(	PUNCT
ejpam-2610	73	9	2016	2016	NUM
ejpam-2610	73	10	)	)	PUNCT
ejpam-2610	73	11	,	,	PUNCT
ejpam-2610	73	12	165	165	NUM
ejpam-2610	73	13	-	-	SYM
ejpam-2610	73	14	174	174	NUM
ejpam-2610	73	15	168	168	NUM
ejpam-2610	73	16	3	3	NUM
ejpam-2610	73	17	.	.	PUNCT
ejpam-2610	74	1	the	the	DET
ejpam-2610	74	2	structure	structure	NOUN
ejpam-2610	74	3	of	of	ADP
ejpam-2610	74	4	fractional	fractional	ADJ
ejpam-2610	74	5	spaces	space	NOUN
ejpam-2610	74	6	eα(c	eα(c	PUNCT
ejpam-2610	74	7	�	�	PROPN
ejpam-2610	74	8	r+	r+	PUNCT
ejpam-2610	74	9	�	�	PROPN
ejpam-2610	74	10	,	,	PUNCT
ejpam-2610	74	11	a	a	PRON
ejpam-2610	74	12	)	)	PUNCT
ejpam-2610	74	13	theorem	theorem	NOUN
ejpam-2610	74	14	2	2	NUM
ejpam-2610	74	15	.	.	PUNCT
ejpam-2610	74	16	for	for	ADP
ejpam-2610	74	17	α	α	PRON
ejpam-2610	74	18	∈	∈	PROPN
ejpam-2610	74	19	(	(	PUNCT
ejpam-2610	74	20	0,1/2	0,1/2	PROPN
ejpam-2610	74	21	)	)	PUNCT
ejpam-2610	74	22	,	,	PUNCT
ejpam-2610	74	23	the	the	DET
ejpam-2610	74	24	banach	banach	NOUN
ejpam-2610	74	25	spaces	space	VERB
ejpam-2610	74	26	eα(c	eα(c	PUNCT
ejpam-2610	74	27	�	�	PROPN
ejpam-2610	74	28	r+	r+	PUNCT
ejpam-2610	74	29	�	�	PROPN
ejpam-2610	74	30	,	,	PUNCT
ejpam-2610	74	31	a	a	PRON
ejpam-2610	74	32	)	)	PUNCT
ejpam-2610	74	33	and	and	CCONJ
ejpam-2610	74	34	c2α	c2α	PROPN
ejpam-2610	74	35	�	�	PROPN
ejpam-2610	74	36	r+	r+	PUNCT
ejpam-2610	74	37	�	�	PROPN
ejpam-2610	74	38	are	be	AUX
ejpam-2610	74	39	equivalent	equivalent	ADJ
ejpam-2610	74	40	.	.	PUNCT
ejpam-2610	75	1	proof	proof	NOUN
ejpam-2610	75	2	.	.	PUNCT
ejpam-2610	76	1	let	let	VERB
ejpam-2610	76	2	λ	λ	PRON
ejpam-2610	76	3	>	>	X
ejpam-2610	76	4	0	0	PUNCT
ejpam-2610	76	5	and	and	CCONJ
ejpam-2610	76	6	t	t	PROPN
ejpam-2610	76	7	≥	≥	PROPN
ejpam-2610	76	8	0	0	NUM
ejpam-2610	76	9	.	.	PUNCT
ejpam-2610	77	1	from	from	ADP
ejpam-2610	77	2	formula	formula	NOUN
ejpam-2610	77	3	(	(	PUNCT
ejpam-2610	77	4	3	3	X
ejpam-2610	77	5	)	)	PUNCT
ejpam-2610	77	6	it	it	PRON
ejpam-2610	77	7	follows	follow	VERB
ejpam-2610	77	8	that	that	SCONJ
ejpam-2610	77	9	a(a+λ)−1	a(a+λ)−1	NOUN
ejpam-2610	77	10	f	f	PROPN
ejpam-2610	77	11	(	(	PUNCT
ejpam-2610	77	12	t	t	PROPN
ejpam-2610	77	13	)	)	PUNCT
ejpam-2610	78	1	=	=	NOUN
ejpam-2610	78	2	λ	λ	X
ejpam-2610	78	3	�	�	PROPN
ejpam-2610	78	4	1	1	NUM
ejpam-2610	78	5	λ	λ	X
ejpam-2610	78	6	f	f	X
ejpam-2610	78	7	(	(	PUNCT
ejpam-2610	78	8	t)−	t)−	PROPN
ejpam-2610	78	9	(	(	PUNCT
ejpam-2610	78	10	a+λ)−1	a+λ)−1	PROPN
ejpam-2610	78	11	f	f	PROPN
ejpam-2610	78	12	(	(	PUNCT
ejpam-2610	78	13	t	t	PROPN
ejpam-2610	78	14	)	)	PUNCT
ejpam-2610	78	15	�	�	PROPN
ejpam-2610	78	16	=	=	SYM
ejpam-2610	78	17	1	1	NUM
ejpam-2610	78	18	λ+	λ+	PUNCT
ejpam-2610	78	19	1	1	NUM
ejpam-2610	78	20	f	f	NOUN
ejpam-2610	78	21	(	(	PUNCT
ejpam-2610	78	22	t	t	PROPN
ejpam-2610	78	23	)	)	PUNCT
ejpam-2610	78	24	+	+	PROPN
ejpam-2610	78	25	λ	λ	X
ejpam-2610	78	26	�	�	X
ejpam-2610	78	27	1	1	NUM
ejpam-2610	78	28	λ+	λ+	PUNCT
ejpam-2610	78	29	1	1	NUM
ejpam-2610	78	30	f	f	NOUN
ejpam-2610	78	31	(	(	PUNCT
ejpam-2610	78	32	t)−	t)−	PROPN
ejpam-2610	78	33	(	(	PUNCT
ejpam-2610	78	34	a+λ)−1	a+λ)−1	PROPN
ejpam-2610	78	35	f	f	PROPN
ejpam-2610	78	36	(	(	PUNCT
ejpam-2610	78	37	t	t	PROPN
ejpam-2610	78	38	)	)	PUNCT
ejpam-2610	78	39	�	�	PROPN
ejpam-2610	78	40	=	=	SYM
ejpam-2610	78	41	1	1	NUM
ejpam-2610	78	42	λ+	λ+	PUNCT
ejpam-2610	78	43	1	1	NUM
ejpam-2610	78	44	f	f	NOUN
ejpam-2610	78	45	(	(	PUNCT
ejpam-2610	78	46	t	t	PROPN
ejpam-2610	78	47	)	)	PUNCT
ejpam-2610	78	48	+	+	NOUN
ejpam-2610	78	49	λ	λ	X
ejpam-2610	78	50	1	1	NUM
ejpam-2610	78	51	2	2	NUM
ejpam-2610	78	52	p	p	NOUN
ejpam-2610	78	53	1+λ	1+λ	NUM
ejpam-2610	78	54	∞	∞	NUM
ejpam-2610	78	55	∫	∫	PROPN
ejpam-2610	78	56	0	0	PROPN
ejpam-2610	78	57	�	�	PROPN
ejpam-2610	78	58	e−	e−	PROPN
ejpam-2610	78	59	p	p	PROPN
ejpam-2610	78	60	1+λ|t−s|	1+λ|t−s|	PROPN
ejpam-2610	78	61	−	−	PROPN
ejpam-2610	78	62	e−	e−	PROPN
ejpam-2610	78	63	p	p	PROPN
ejpam-2610	78	64	1+λ(t+s	1+λ(t+s	NUM
ejpam-2610	78	65	)	)	PUNCT
ejpam-2610	78	66	�	�	PROPN
ejpam-2610	78	67	�	�	PROPN
ejpam-2610	78	68	f	f	PROPN
ejpam-2610	78	69	(	(	PUNCT
ejpam-2610	78	70	t)−	t)−	PROPN
ejpam-2610	78	71	f	f	X
ejpam-2610	78	72	(	(	PUNCT
ejpam-2610	78	73	s	s	NOUN
ejpam-2610	78	74	)	)	PUNCT
ejpam-2610	78	75	�	�	PROPN
ejpam-2610	78	76	ds	ds	PROPN
ejpam-2610	78	77	.	.	PROPN
ejpam-2610	79	1	then	then	ADV
ejpam-2610	79	2	,	,	PUNCT
ejpam-2610	79	3	by	by	ADP
ejpam-2610	79	4	this	this	DET
ejpam-2610	79	5	formula	formula	NOUN
ejpam-2610	79	6	,	,	PUNCT
ejpam-2610	79	7	the	the	DET
ejpam-2610	79	8	triangle	triangle	NOUN
ejpam-2610	79	9	inequality	inequality	NOUN
ejpam-2610	79	10	,	,	PUNCT
ejpam-2610	79	11	and	and	CCONJ
ejpam-2610	79	12	the	the	DET
ejpam-2610	79	13	definition	definition	NOUN
ejpam-2610	79	14	of	of	ADP
ejpam-2610	79	15	c2α	c2α	PROPN
ejpam-2610	79	16	�	�	PROPN
ejpam-2610	79	17	r+	r+	X
ejpam-2610	79	18	�	�	PROPN
ejpam-2610	79	19	−norm	−norm	PROPN
ejpam-2610	79	20	,	,	PUNCT
ejpam-2610	79	21	we	we	PRON
ejpam-2610	79	22	have	have	VERB
ejpam-2610	79	23	�	�	PROPN
ejpam-2610	79	24	�	�	PROPN
ejpam-2610	79	25	λαa(a+λ)−1	λαa(a+λ)−1	PROPN
ejpam-2610	79	26	f	f	PROPN
ejpam-2610	79	27	(	(	PUNCT
ejpam-2610	79	28	t	t	PROPN
ejpam-2610	79	29	)	)	PUNCT
ejpam-2610	79	30	�	�	PROPN
ejpam-2610	79	31	�	�	PROPN
ejpam-2610	79	32	≤m	≤m	PROPN
ejpam-2610	79	33	f	f	PROPN
ejpam-2610	79	34	c2α	c2α	PROPN
ejpam-2610	79	35			PROPN
ejpam-2610	79	36			NOUN
ejpam-2610	79	37	λα	λα	PROPN
ejpam-2610	80	1	1+λ	1+λ	X
ejpam-2610	80	2	+	+	CCONJ
ejpam-2610	80	3	λα+1	λα+1	NUM
ejpam-2610	80	4	2	2	NUM
ejpam-2610	80	5	p	p	NOUN
ejpam-2610	80	6	1+λ	1+λ	NUM
ejpam-2610	80	7	∞	∞	NUM
ejpam-2610	80	8	∫	∫	PROPN
ejpam-2610	80	9	0	0	PROPN
ejpam-2610	80	10	�	�	PROPN
ejpam-2610	80	11	�	�	PROPN
ejpam-2610	80	12	�	�	PROPN
ejpam-2610	80	13	e−	e−	PROPN
ejpam-2610	80	14	p	p	NOUN
ejpam-2610	80	15	1+λ|t−s|	1+λ|t−s|	PROPN
ejpam-2610	80	16	−	−	PROPN
ejpam-2610	80	17	e−	e−	PROPN
ejpam-2610	80	18	p	p	PROPN
ejpam-2610	80	19	1+λ(t+s	1+λ(t+s	NUM
ejpam-2610	80	20	)	)	PUNCT
ejpam-2610	80	21	�	�	PROPN
ejpam-2610	80	22	�	�	PROPN
ejpam-2610	80	23	�	�	PROPN
ejpam-2610	80	24	|t	|t	VERB
ejpam-2610	81	1	−	−	PROPN
ejpam-2610	81	2	s|2α	s|2α	PROPN
ejpam-2610	81	3	ds	ds	ADJ
ejpam-2610	81	4			PROPN
ejpam-2610	81	5			PROPN
ejpam-2610	81	6	≤m	≤m	NOUN
ejpam-2610	81	7	f	f	PROPN
ejpam-2610	81	8	c2α	c2α	PROPN
ejpam-2610	81	9			PROPN
ejpam-2610	81	10			NOUN
ejpam-2610	81	11	λα	λα	PROPN
ejpam-2610	82	1	1+λ	1+λ	NUM
ejpam-2610	83	1	+	+	NOUN
ejpam-2610	83	2	λα+1	λα+1	NOUN
ejpam-2610	83	3	1p	1p	ADJ
ejpam-2610	83	4	1+λ	1+λ	NUM
ejpam-2610	83	5	∞	∞	NUM
ejpam-2610	83	6	∫	∫	NOUN
ejpam-2610	83	7	0	0	NUM
ejpam-2610	84	1	e−	e−	PROPN
ejpam-2610	84	2	p	p	PROPN
ejpam-2610	84	3	1+λ|t−s|	1+λ|t−s|	PROPN
ejpam-2610	84	4	|t	|t	NOUN
ejpam-2610	85	1	−	−	PROPN
ejpam-2610	85	2	s|2α	s|2α	PROPN
ejpam-2610	85	3	ds	ds	NOUN
ejpam-2610	85	4			PROPN
ejpam-2610	85	5			PROPN
ejpam-2610	85	6	.	.	PUNCT
ejpam-2610	86	1	(	(	PUNCT
ejpam-2610	86	2	6	6	NUM
ejpam-2610	86	3	)	)	PUNCT
ejpam-2610	86	4	the	the	DET
ejpam-2610	86	5	substitution	substitution	NOUN
ejpam-2610	86	6	p	p	NOUN
ejpam-2610	86	7	1+λ|t	1+λ|t	NUM
ejpam-2610	86	8	−	−	PROPN
ejpam-2610	86	9	s|=	s|=	PROPN
ejpam-2610	86	10	p	p	NOUN
ejpam-2610	86	11	yields	yield	NOUN
ejpam-2610	87	1	that	that	PRON
ejpam-2610	87	2	∞	∞	PROPN
ejpam-2610	87	3	∫	∫	NOUN
ejpam-2610	87	4	0	0	NUM
ejpam-2610	88	1	e−	e−	PROPN
ejpam-2610	88	2	p	p	PROPN
ejpam-2610	88	3	1+λ|t−s|	1+λ|t−s|	PROPN
ejpam-2610	88	4	|t	|t	NOUN
ejpam-2610	88	5	−	−	PROPN
ejpam-2610	88	6	s|2α	s|2α	NOUN
ejpam-2610	88	7	ds	ds	PROPN
ejpam-2610	88	8	=	=	SYM
ejpam-2610	88	9	t	t	PROPN
ejpam-2610	88	10	∫	∫	PROPN
ejpam-2610	88	11	0	0	NUM
ejpam-2610	89	1	e−	e−	PROPN
ejpam-2610	89	2	p	p	PROPN
ejpam-2610	89	3	1+λ|t−s|	1+λ|t−s|	PROPN
ejpam-2610	89	4	|t	|t	NOUN
ejpam-2610	89	5	−	−	PROPN
ejpam-2610	89	6	s|2α	s|2α	PROPN
ejpam-2610	89	7	ds+	ds+	PROPN
ejpam-2610	90	1	∞	∞	PROPN
ejpam-2610	90	2	∫	∫	PROPN
ejpam-2610	90	3	t	t	PROPN
ejpam-2610	90	4	e−	e−	PROPN
ejpam-2610	90	5	p	p	ADP
ejpam-2610	90	6	1+λ(s−t	1+λ(s−t	NUM
ejpam-2610	90	7	)	)	PUNCT
ejpam-2610	90	8	2	2	NUM
ejpam-2610	90	9	p	p	NOUN
ejpam-2610	90	10	1+λ	1+λ	NUM
ejpam-2610	90	11	|s−	|s−	ADJ
ejpam-2610	90	12	t|2α	t|2α	NOUN
ejpam-2610	90	13	ds	ds	NOUN
ejpam-2610	90	14	=	=	NOUN
ejpam-2610	90	15	−	−	NOUN
ejpam-2610	90	16	0	0	NUM
ejpam-2610	90	17	∫	∫	PROPN
ejpam-2610	90	18	p	p	PROPN
ejpam-2610	90	19	1+λt	1+λt	PROPN
ejpam-2610	90	20	e−p	e−p	PROPN
ejpam-2610	90	21	p2α	p2α	PROPN
ejpam-2610	90	22	(	(	PUNCT
ejpam-2610	90	23	1+λ)α+	1+λ)α+	NUM
ejpam-2610	90	24	1	1	NUM
ejpam-2610	90	25	2	2	NUM
ejpam-2610	90	26	dp+	dp+	NOUN
ejpam-2610	90	27	∞	∞	PROPN
ejpam-2610	90	28	∫	∫	PROPN
ejpam-2610	90	29	0	0	PROPN
ejpam-2610	91	1	e−p	e−p	PROPN
ejpam-2610	91	2	p2α	p2α	PROPN
ejpam-2610	91	3	(	(	PUNCT
ejpam-2610	91	4	1+λ)α+	1+λ)α+	NUM
ejpam-2610	91	5	1	1	NUM
ejpam-2610	91	6	2	2	NUM
ejpam-2610	91	7	dp	dp	NOUN
ejpam-2610	91	8	≤	≤	NOUN
ejpam-2610	91	9	2	2	NUM
ejpam-2610	91	10	(	(	PUNCT
ejpam-2610	91	11	1+λ)α+	1+λ)α+	NUM
ejpam-2610	91	12	1	1	NUM
ejpam-2610	91	13	2	2	NUM
ejpam-2610	91	14	γ(2α+	γ(2α+	NOUN
ejpam-2610	91	15	1	1	NUM
ejpam-2610	91	16	)	)	PUNCT
ejpam-2610	91	17	(	(	PUNCT
ejpam-2610	91	18	7	7	X
ejpam-2610	91	19	)	)	PUNCT
ejpam-2610	91	20	where	where	SCONJ
ejpam-2610	91	21	γ	γ	X
ejpam-2610	91	22	(	(	PUNCT
ejpam-2610	91	23	·	·	PUNCT
ejpam-2610	91	24	)	)	PUNCT
ejpam-2610	91	25	is	be	AUX
ejpam-2610	91	26	the	the	DET
ejpam-2610	91	27	gamma	gamma	PROPN
ejpam-2610	91	28	function	function	NOUN
ejpam-2610	91	29	.	.	PUNCT
ejpam-2610	92	1	thus	thus	ADV
ejpam-2610	92	2	,	,	PUNCT
ejpam-2610	92	3	from	from	ADP
ejpam-2610	92	4	estimate	estimate	NOUN
ejpam-2610	92	5	(	(	PUNCT
ejpam-2610	92	6	7	7	X
ejpam-2610	92	7	)	)	PUNCT
ejpam-2610	92	8	it	it	PRON
ejpam-2610	92	9	follows	follow	VERB
ejpam-2610	92	10	that	that	DET
ejpam-2610	92	11	estimate	estimate	NOUN
ejpam-2610	92	12	(	(	PUNCT
ejpam-2610	92	13	6	6	NUM
ejpam-2610	92	14	)	)	PUNCT
ejpam-2610	92	15	becomes	become	VERB
ejpam-2610	92	16	�	�	PROPN
ejpam-2610	92	17	�	�	PROPN
ejpam-2610	92	18	λαa(a+λ)−1	λαa(a+λ)−1	PROPN
ejpam-2610	92	19	f	f	PROPN
ejpam-2610	92	20	(	(	PUNCT
ejpam-2610	92	21	t	t	PROPN
ejpam-2610	92	22	)	)	PUNCT
ejpam-2610	92	23	�	�	PROPN
ejpam-2610	92	24	�	�	PROPN
ejpam-2610	92	25	≤	≤	PROPN
ejpam-2610	92	26	m	m	VERB
ejpam-2610	92	27	f	f	NOUN
ejpam-2610	92	28	c2α	c2α	PROPN
ejpam-2610	92	29	�	�	PROPN
ejpam-2610	92	30	λα	λα	PROPN
ejpam-2610	93	1	1+λ	1+λ	NUM
ejpam-2610	93	2	+	+	NOUN
ejpam-2610	93	3	λα+1	λα+1	NOUN
ejpam-2610	93	4	1	1	NUM
ejpam-2610	93	5	2	2	NUM
ejpam-2610	93	6	(	(	PUNCT
ejpam-2610	93	7	1+λ)1+α	1+λ)1+α	NUM
ejpam-2610	93	8	m(α	m(α	PROPN
ejpam-2610	93	9	)	)	PUNCT
ejpam-2610	93	10	�	�	PROPN
ejpam-2610	93	11	≤	≤	NUM
ejpam-2610	93	12	m(α	m(α	PROPN
ejpam-2610	93	13	)	)	PUNCT
ejpam-2610	93	14	f	f	PROPN
ejpam-2610	93	15	c2α	c2α	NOUN
ejpam-2610	93	16	.	.	PUNCT
ejpam-2610	94	1	hence	hence	ADV
ejpam-2610	94	2	,	,	PUNCT
ejpam-2610	94	3	we	we	PRON
ejpam-2610	94	4	get	get	VERB
ejpam-2610	94	5	sup	sup	NOUN
ejpam-2610	94	6	λ>0	λ>0	NOUN
ejpam-2610	94	7	sup	sup	NOUN
ejpam-2610	94	8	t∈[0,∞	t∈[0,∞	NOUN
ejpam-2610	94	9	)	)	PUNCT
ejpam-2610	94	10	�	�	PROPN
ejpam-2610	94	11	�	�	PROPN
ejpam-2610	94	12	λαa(a+λ)−1	λαa(a+λ)−1	PROPN
ejpam-2610	94	13	f	f	PROPN
ejpam-2610	94	14	(	(	PUNCT
ejpam-2610	94	15	t	t	PROPN
ejpam-2610	94	16	)	)	PUNCT
ejpam-2610	94	17	�	�	PROPN
ejpam-2610	94	18	�	�	PROPN
ejpam-2610	94	19	≤	≤	PROPN
ejpam-2610	94	20	m(α	m(α	PROPN
ejpam-2610	94	21	)	)	PUNCT
ejpam-2610	94	22	f	f	PROPN
ejpam-2610	94	23	c2α	c2α	PROPN
ejpam-2610	94	24	a.	a.	NOUN
ejpam-2610	94	25	ashyralyev	ashyralyev	PROPN
ejpam-2610	94	26	,	,	PUNCT
ejpam-2610	94	27	s.	s.	PROPN
ejpam-2610	94	28	akturk	akturk	PROPN
ejpam-2610	94	29	/	/	SYM
ejpam-2610	94	30	eur	eur	PROPN
ejpam-2610	94	31	.	.	PUNCT
ejpam-2610	95	1	j.	j.	PROPN
ejpam-2610	95	2	pure	pure	PROPN
ejpam-2610	95	3	appl	appl	PROPN
ejpam-2610	95	4	.	.	PROPN
ejpam-2610	95	5	math	math	PROPN
ejpam-2610	95	6	,	,	PUNCT
ejpam-2610	95	7	9	9	NUM
ejpam-2610	95	8	(	(	PUNCT
ejpam-2610	95	9	2016	2016	NUM
ejpam-2610	95	10	)	)	PUNCT
ejpam-2610	95	11	,	,	PUNCT
ejpam-2610	95	12	165	165	NUM
ejpam-2610	95	13	-	-	SYM
ejpam-2610	95	14	174	174	NUM
ejpam-2610	95	15	169	169	NUM
ejpam-2610	95	16	or	or	CCONJ
ejpam-2610	95	17	f	f	PROPN
ejpam-2610	95	18	eα(a	eα(a	NOUN
ejpam-2610	95	19	,	,	PUNCT
ejpam-2610	95	20	c	c	NOUN
ejpam-2610	95	21	)	)	PUNCT
ejpam-2610	95	22	≤	≤	NUM
ejpam-2610	95	23	m(α	m(α	PROPN
ejpam-2610	95	24	)	)	PUNCT
ejpam-2610	95	25	f	f	PROPN
ejpam-2610	95	26	c2α	c2α	NOUN
ejpam-2610	95	27	.	.	PUNCT
ejpam-2610	96	1	therefore	therefore	ADV
ejpam-2610	96	2	,	,	PUNCT
ejpam-2610	96	3	we	we	PRON
ejpam-2610	96	4	prove	prove	VERB
ejpam-2610	96	5	c2α	c2α	PROPN
ejpam-2610	96	6	�	�	PROPN
ejpam-2610	96	7	r+	r+	PUNCT
ejpam-2610	96	8	�	�	PROPN
ejpam-2610	96	9	⊂	⊂	PROPN
ejpam-2610	96	10	eα(c	eα(c	PUNCT
ejpam-2610	96	11	�	�	PROPN
ejpam-2610	96	12	r+	r+	PUNCT
ejpam-2610	96	13	�	�	PROPN
ejpam-2610	96	14	,	,	PUNCT
ejpam-2610	96	15	a	a	PRON
ejpam-2610	96	16	)	)	PUNCT
ejpam-2610	96	17	.	.	PUNCT
ejpam-2610	97	1	next	next	ADV
ejpam-2610	97	2	,	,	PUNCT
ejpam-2610	97	3	let	let	VERB
ejpam-2610	97	4	us	we	PRON
ejpam-2610	97	5	prove	prove	VERB
ejpam-2610	97	6	that	that	SCONJ
ejpam-2610	97	7	eα(c	eα(c	ADP
ejpam-2610	97	8	�	�	PROPN
ejpam-2610	97	9	r+	r+	PUNCT
ejpam-2610	97	10	�	�	PROPN
ejpam-2610	97	11	,	,	PUNCT
ejpam-2610	97	12	a	a	PRON
ejpam-2610	97	13	)	)	PUNCT
ejpam-2610	97	14	⊂	⊂	PROPN
ejpam-2610	97	15	c2α	c2α	PROPN
ejpam-2610	97	16	�	�	PROPN
ejpam-2610	97	17	r+	r+	PUNCT
ejpam-2610	97	18	�	�	PROPN
ejpam-2610	97	19	.	.	PUNCT
ejpam-2610	98	1	clearly	clearly	ADV
ejpam-2610	98	2	,	,	PUNCT
ejpam-2610	98	3	for	for	ADP
ejpam-2610	98	4	a	a	DET
ejpam-2610	98	5	positive	positive	ADJ
ejpam-2610	98	6	operator	operator	NOUN
ejpam-2610	98	7	a	a	PRON
ejpam-2610	98	8	in	in	ADP
ejpam-2610	98	9	a	a	DET
ejpam-2610	98	10	banach	banach	NOUN
ejpam-2610	98	11	space	space	NOUN
ejpam-2610	98	12	e	e	NOUN
ejpam-2610	98	13	,	,	PUNCT
ejpam-2610	98	14	we	we	PRON
ejpam-2610	98	15	have	have	VERB
ejpam-2610	98	16	v	v	NOUN
ejpam-2610	98	17	=	=	SYM
ejpam-2610	98	18	∞	∞	NUM
ejpam-2610	98	19	∫	∫	NOUN
ejpam-2610	98	20	0	0	NUM
ejpam-2610	99	1	a(λ+	a(λ+	NOUN
ejpam-2610	99	2	a)−2vdλ	a)−2vdλ	PROPN
ejpam-2610	99	3	.	.	PUNCT
ejpam-2610	100	1	by	by	ADP
ejpam-2610	100	2	this	this	DET
ejpam-2610	100	3	fact	fact	NOUN
ejpam-2610	100	4	,	,	PUNCT
ejpam-2610	100	5	for	for	ADP
ejpam-2610	100	6	t	t	PROPN
ejpam-2610	100	7	+	+	PROPN
ejpam-2610	100	8	τ	τ	X
ejpam-2610	100	9	>	>	X
ejpam-2610	100	10	t	t	PROPN
ejpam-2610	100	11	≥	≥	PROPN
ejpam-2610	100	12	0	0	NUM
ejpam-2610	100	13	,	,	PUNCT
ejpam-2610	100	14	we	we	PRON
ejpam-2610	100	15	have	have	VERB
ejpam-2610	100	16	f	f	PROPN
ejpam-2610	100	17	(	(	PUNCT
ejpam-2610	100	18	t	t	PROPN
ejpam-2610	100	19	)	)	PUNCT
ejpam-2610	100	20	=	=	SYM
ejpam-2610	101	1	∞	∞	NUM
ejpam-2610	101	2	∫	∫	NOUN
ejpam-2610	101	3	0	0	NUM
ejpam-2610	102	1	a(λ+	a(λ+	PROPN
ejpam-2610	102	2	a)−2	a)−2	NOUN
ejpam-2610	102	3	f	f	X
ejpam-2610	102	4	(	(	PUNCT
ejpam-2610	102	5	t)dλ=	t)dλ=	PROPN
ejpam-2610	102	6	∞	∞	NUM
ejpam-2610	102	7	∫	∫	NOUN
ejpam-2610	102	8	0	0	PUNCT
ejpam-2610	103	1	(	(	PUNCT
ejpam-2610	103	2	λ+	λ+	PUNCT
ejpam-2610	103	3	a)−1a(λ+	a)−1a(λ+	ADP
ejpam-2610	103	4	a)−1	a)−1	NOUN
ejpam-2610	103	5	f	f	PROPN
ejpam-2610	103	6	(	(	PUNCT
ejpam-2610	103	7	t)dλ	t)dλ	PROPN
ejpam-2610	103	8	=	=	SYM
ejpam-2610	103	9	∞	∞	NUM
ejpam-2610	103	10	∫	∫	NOUN
ejpam-2610	103	11	0	0	NUM
ejpam-2610	104	1	∞	∞	NUM
ejpam-2610	104	2	∫	∫	NOUN
ejpam-2610	104	3	0	0	NUM
ejpam-2610	104	4	1	1	NUM
ejpam-2610	104	5	2	2	NUM
ejpam-2610	104	6	p	p	NOUN
ejpam-2610	104	7	1+λ	1+λ	NUM
ejpam-2610	104	8	�	�	NOUN
ejpam-2610	104	9	e−	e−	PROPN
ejpam-2610	104	10	p	p	PROPN
ejpam-2610	104	11	1+λ|t−s|	1+λ|t−s|	PROPN
ejpam-2610	104	12	−	−	PROPN
ejpam-2610	104	13	e−	e−	PROPN
ejpam-2610	104	14	p	p	PROPN
ejpam-2610	104	15	1+λ(t+s	1+λ(t+s	NUM
ejpam-2610	104	16	)	)	PUNCT
ejpam-2610	104	17	�	�	PROPN
ejpam-2610	104	18	a(λ+	a(λ+	NOUN
ejpam-2610	104	19	a)−1	a)−1	NOUN
ejpam-2610	104	20	f	f	PROPN
ejpam-2610	104	21	(	(	PUNCT
ejpam-2610	104	22	s)dsdλ	s)dsdλ	PROPN
ejpam-2610	104	23	,	,	PUNCT
ejpam-2610	104	24	(	(	PUNCT
ejpam-2610	104	25	8)	8)	NUM
ejpam-2610	104	26	and	and	CCONJ
ejpam-2610	104	27	f	f	PROPN
ejpam-2610	104	28	(	(	PUNCT
ejpam-2610	104	29	t	t	PROPN
ejpam-2610	104	30	+	+	NOUN
ejpam-2610	104	31	τ	τ	X
ejpam-2610	104	32	)	)	PUNCT
ejpam-2610	104	33	=	=	SYM
ejpam-2610	105	1	∞	∞	NUM
ejpam-2610	105	2	∫	∫	NOUN
ejpam-2610	105	3	0	0	NUM
ejpam-2610	106	1	∞	∞	NUM
ejpam-2610	106	2	∫	∫	NOUN
ejpam-2610	106	3	0	0	NUM
ejpam-2610	106	4	1	1	NUM
ejpam-2610	106	5	2	2	NUM
ejpam-2610	106	6	p	p	NOUN
ejpam-2610	106	7	1+λ	1+λ	NUM
ejpam-2610	106	8	�	�	NOUN
ejpam-2610	106	9	e−	e−	X
ejpam-2610	106	10	p	p	NOUN
ejpam-2610	106	11	1+λ|t+τ−s|	1+λ|t+τ−s|	ADJ
ejpam-2610	107	1	−	−	NOUN
ejpam-2610	108	1	e−	e−	PROPN
ejpam-2610	108	2	p	p	PROPN
ejpam-2610	108	3	1+λ(t+τ+s	1+λ(t+τ+s	NOUN
ejpam-2610	108	4	)	)	PUNCT
ejpam-2610	108	5	�	�	PROPN
ejpam-2610	108	6	a(λ+	a(λ+	NOUN
ejpam-2610	108	7	a)−1	a)−1	NOUN
ejpam-2610	108	8	f	f	PROPN
ejpam-2610	108	9	(	(	PUNCT
ejpam-2610	108	10	s)dsdλ	s)dsdλ	PROPN
ejpam-2610	108	11	.	.	PUNCT
ejpam-2610	109	1	(	(	PUNCT
ejpam-2610	109	2	9	9	NUM
ejpam-2610	109	3	)	)	PUNCT
ejpam-2610	109	4	clearly	clearly	ADV
ejpam-2610	109	5	,	,	PUNCT
ejpam-2610	109	6	‖	‖	PROPN
ejpam-2610	109	7	f	f	PROPN
ejpam-2610	109	8	‖c(r+	‖c(r+	PROPN
ejpam-2610	109	9	)	)	PUNCT
ejpam-2610	109	10	≤	≤	NUM
ejpam-2610	109	11	m(α	m(α	PROPN
ejpam-2610	109	12	)	)	PUNCT
ejpam-2610	109	13	.	.	PUNCT
ejpam-2610	110	1	(	(	PUNCT
ejpam-2610	110	2	10	10	NUM
ejpam-2610	110	3	)	)	PUNCT
ejpam-2610	110	4	from	from	ADP
ejpam-2610	110	5	equations	equation	NOUN
ejpam-2610	110	6	(	(	PUNCT
ejpam-2610	110	7	8)	8)	NUM
ejpam-2610	110	8	and	and	CCONJ
ejpam-2610	110	9	(	(	PUNCT
ejpam-2610	110	10	9	9	X
ejpam-2610	110	11	)	)	PUNCT
ejpam-2610	110	12	it	it	PRON
ejpam-2610	110	13	follows	follow	VERB
ejpam-2610	110	14	that	that	SCONJ
ejpam-2610	111	1	f	f	PROPN
ejpam-2610	111	2	(	(	PUNCT
ejpam-2610	111	3	t	t	PROPN
ejpam-2610	111	4	+	+	PROPN
ejpam-2610	111	5	τ)−	τ)−	PROPN
ejpam-2610	111	6	f	f	PROPN
ejpam-2610	111	7	(	(	PUNCT
ejpam-2610	111	8	t	t	PROPN
ejpam-2610	111	9	)	)	PUNCT
ejpam-2610	111	10	τ2α	τ2α	PUNCT
ejpam-2610	111	11	=	=	PUNCT
ejpam-2610	112	1	∞	∞	NUM
ejpam-2610	112	2	∫	∫	NOUN
ejpam-2610	112	3	0	0	NUM
ejpam-2610	113	1	λ−α	λ−α	NOUN
ejpam-2610	113	2	2	2	NUM
ejpam-2610	113	3	p	p	NOUN
ejpam-2610	113	4	1+λ	1+λ	NUM
ejpam-2610	113	5	1	1	NUM
ejpam-2610	113	6	τ2α	τ2α	SYM
ejpam-2610	113	7	t	t	PROPN
ejpam-2610	113	8	∫	∫	PROPN
ejpam-2610	113	9	0	0	PROPN
ejpam-2610	113	10	�	�	PROPN
ejpam-2610	114	1	e−	e−	PROPN
ejpam-2610	114	2	p	p	NOUN
ejpam-2610	115	1	1+λ|t+τ−s|	1+λ|t+τ−s|	ADJ
ejpam-2610	115	2	−	−	NOUN
ejpam-2610	115	3	e−	e−	PROPN
ejpam-2610	115	4	p	p	PROPN
ejpam-2610	115	5	1+λ(t+τ+s	1+λ(t+τ+s	NOUN
ejpam-2610	115	6	)	)	PUNCT
ejpam-2610	115	7	−	−	PROPN
ejpam-2610	116	1	e−	e−	PROPN
ejpam-2610	116	2	p	p	PROPN
ejpam-2610	116	3	1+λ|t−s|	1+λ|t−s|	PROPN
ejpam-2610	116	4	−	−	PROPN
ejpam-2610	116	5	e−	e−	PROPN
ejpam-2610	116	6	p	p	PROPN
ejpam-2610	116	7	1+λ(t+s	1+λ(t+s	NUM
ejpam-2610	116	8	)	)	PUNCT
ejpam-2610	116	9	�	�	PROPN
ejpam-2610	116	10	×λαa(λ+	×λαa(λ+	NUM
ejpam-2610	116	11	a)−1	a)−1	NOUN
ejpam-2610	116	12	f	f	PROPN
ejpam-2610	116	13	(	(	PUNCT
ejpam-2610	116	14	s)dsdλ	s)dsdλ	NOUN
ejpam-2610	117	1	+	+	CCONJ
ejpam-2610	117	2	∞	∞	NUM
ejpam-2610	117	3	∫	∫	NOUN
ejpam-2610	117	4	0	0	NUM
ejpam-2610	118	1	λ−α	λ−α	NOUN
ejpam-2610	118	2	2	2	NUM
ejpam-2610	118	3	p	p	NOUN
ejpam-2610	118	4	1+λ	1+λ	NUM
ejpam-2610	118	5	1	1	NUM
ejpam-2610	118	6	τ2α	τ2α	SYM
ejpam-2610	118	7	t+τ	t+τ	NUM
ejpam-2610	118	8	∫	∫	PROPN
ejpam-2610	118	9	t	t	PROPN
ejpam-2610	118	10	�	�	PROPN
ejpam-2610	119	1	e−	e−	PROPN
ejpam-2610	119	2	p	p	X
ejpam-2610	120	1	1+λ|t+τ−s|	1+λ|t+τ−s|	ADJ
ejpam-2610	120	2	−	−	NOUN
ejpam-2610	120	3	e−	e−	PROPN
ejpam-2610	120	4	p	p	PROPN
ejpam-2610	120	5	1+λ(t+τ+s	1+λ(t+τ+s	NOUN
ejpam-2610	120	6	)	)	PUNCT
ejpam-2610	120	7	−	−	NOUN
ejpam-2610	121	1	e−	e−	PROPN
ejpam-2610	121	2	p	p	NOUN
ejpam-2610	121	3	1+λ(s−t	1+λ(s−t	NUM
ejpam-2610	121	4	)	)	PUNCT
ejpam-2610	121	5	−	−	PROPN
ejpam-2610	122	1	e−	e−	PROPN
ejpam-2610	122	2	p	p	PROPN
ejpam-2610	122	3	1+λ(s+t	1+λ(s+t	NUM
ejpam-2610	122	4	)	)	PUNCT
ejpam-2610	122	5	�	�	PROPN
ejpam-2610	122	6	×λαa(λ+	×λαa(λ+	NUM
ejpam-2610	122	7	a)−1	a)−1	NOUN
ejpam-2610	122	8	f	f	PROPN
ejpam-2610	122	9	(	(	PUNCT
ejpam-2610	122	10	s)dsdλ	s)dsdλ	NOUN
ejpam-2610	122	11	+	+	CCONJ
ejpam-2610	122	12	∞	∞	NUM
ejpam-2610	122	13	∫	∫	NOUN
ejpam-2610	122	14	0	0	NUM
ejpam-2610	123	1	λ−α	λ−α	NOUN
ejpam-2610	123	2	2	2	NUM
ejpam-2610	123	3	p	p	NOUN
ejpam-2610	123	4	1+λ	1+λ	NUM
ejpam-2610	123	5	1	1	NUM
ejpam-2610	123	6	τ2α	τ2α	SYM
ejpam-2610	123	7	∞	∞	PROPN
ejpam-2610	123	8	∫	∫	PROPN
ejpam-2610	123	9	t+τ	t+τ	X
ejpam-2610	123	10	�	�	PROPN
ejpam-2610	124	1	e−	e−	PROPN
ejpam-2610	124	2	p	p	X
ejpam-2610	125	1	1+λ|t+τ−s|	1+λ|t+τ−s|	ADJ
ejpam-2610	125	2	−	−	NOUN
ejpam-2610	125	3	e−	e−	PROPN
ejpam-2610	125	4	p	p	PROPN
ejpam-2610	125	5	1+λ(t+τ+s	1+λ(t+τ+s	NOUN
ejpam-2610	125	6	)	)	PUNCT
ejpam-2610	125	7	−	−	NOUN
ejpam-2610	126	1	e−	e−	PROPN
ejpam-2610	126	2	p	p	NOUN
ejpam-2610	126	3	1+λ(s−t	1+λ(s−t	NUM
ejpam-2610	126	4	)	)	PUNCT
ejpam-2610	126	5	−	−	PROPN
ejpam-2610	127	1	e−	e−	PROPN
ejpam-2610	127	2	p	p	PROPN
ejpam-2610	127	3	1+λ(s+t	1+λ(s+t	NUM
ejpam-2610	127	4	)	)	PUNCT
ejpam-2610	127	5	�	�	PROPN
ejpam-2610	127	6	a.	a.	NOUN
ejpam-2610	127	7	ashyralyev	ashyralyev	PROPN
ejpam-2610	127	8	,	,	PUNCT
ejpam-2610	127	9	s.	s.	PROPN
ejpam-2610	127	10	akturk	akturk	PROPN
ejpam-2610	127	11	/	/	SYM
ejpam-2610	127	12	eur	eur	PROPN
ejpam-2610	127	13	.	.	PUNCT
ejpam-2610	128	1	j.	j.	PROPN
ejpam-2610	128	2	pure	pure	PROPN
ejpam-2610	128	3	appl	appl	PROPN
ejpam-2610	128	4	.	.	PROPN
ejpam-2610	128	5	math	math	PROPN
ejpam-2610	128	6	,	,	PUNCT
ejpam-2610	128	7	9	9	NUM
ejpam-2610	128	8	(	(	PUNCT
ejpam-2610	128	9	2016	2016	NUM
ejpam-2610	128	10	)	)	PUNCT
ejpam-2610	128	11	,	,	PUNCT
ejpam-2610	128	12	165	165	NUM
ejpam-2610	128	13	-	-	SYM
ejpam-2610	128	14	174	174	NUM
ejpam-2610	128	15	170	170	NUM
ejpam-2610	128	16	×λαa(λ+	×λαa(λ+	NUM
ejpam-2610	128	17	a)−1	a)−1	NOUN
ejpam-2610	128	18	f	f	PROPN
ejpam-2610	128	19	(	(	PUNCT
ejpam-2610	128	20	s)dsdλ	s)dsdλ	NOUN
ejpam-2610	128	21	=	=	PROPN
ejpam-2610	128	22	j1	j1	PROPN
ejpam-2610	128	23	+	+	CCONJ
ejpam-2610	128	24	j2	j2	PROPN
ejpam-2610	128	25	+	+	CCONJ
ejpam-2610	128	26	j3	j3	PROPN
ejpam-2610	128	27	.	.	PUNCT
ejpam-2610	129	1	clearly	clearly	ADV
ejpam-2610	129	2	,	,	PUNCT
ejpam-2610	129	3	we	we	PRON
ejpam-2610	129	4	have	have	VERB
ejpam-2610	129	5	1−	1−	NUM
ejpam-2610	130	1	e−	e−	NUM
ejpam-2610	130	2	p	p	X
ejpam-2610	130	3	1+λτ	1+λτ	NUM
ejpam-2610	130	4	≤	≤	NUM
ejpam-2610	130	5	(	(	PUNCT
ejpam-2610	130	6	1+λ)ατ2α	1+λ)ατ2α	NUM
ejpam-2610	130	7	.	.	PUNCT
ejpam-2610	131	1	(	(	PUNCT
ejpam-2610	131	2	11	11	NUM
ejpam-2610	131	3	)	)	PUNCT
ejpam-2610	131	4	using	use	VERB
ejpam-2610	131	5	estimate	estimate	NOUN
ejpam-2610	131	6	(	(	PUNCT
ejpam-2610	131	7	11	11	NUM
ejpam-2610	131	8	)	)	PUNCT
ejpam-2610	131	9	,	,	PUNCT
ejpam-2610	131	10	the	the	DET
ejpam-2610	131	11	triangle	triangle	NOUN
ejpam-2610	131	12	inequality	inequality	NOUN
ejpam-2610	131	13	,	,	PUNCT
ejpam-2610	131	14	and	and	CCONJ
ejpam-2610	131	15	the	the	DET
ejpam-2610	131	16	definition	definition	NOUN
ejpam-2610	131	17	of	of	ADP
ejpam-2610	131	18	eα−norm	eα−norm	NOUN
ejpam-2610	131	19	,	,	PUNCT
ejpam-2610	131	20	we	we	PRON
ejpam-2610	131	21	obtain	obtain	VERB
ejpam-2610	131	22	|j1|	|j1|	NOUN
ejpam-2610	131	23	≤‖	≤‖	PROPN
ejpam-2610	131	24	f	f	PROPN
ejpam-2610	131	25	‖c(eα	‖c(eα	PROPN
ejpam-2610	131	26	)	)	PUNCT
ejpam-2610	131	27	∞	∞	NUM
ejpam-2610	131	28	∫	∫	NOUN
ejpam-2610	131	29	0	0	NUM
ejpam-2610	132	1	λ−α	λ−α	NOUN
ejpam-2610	132	2	2	2	NUM
ejpam-2610	132	3	p	p	NOUN
ejpam-2610	132	4	1+λ	1+λ	NUM
ejpam-2610	132	5	×	×	NOUN
ejpam-2610	132	6	1	1	NUM
ejpam-2610	132	7	τ2α	τ2α	SYM
ejpam-2610	132	8	t	t	PROPN
ejpam-2610	132	9	∫	∫	PROPN
ejpam-2610	132	10	0	0	PROPN
ejpam-2610	132	11	�	�	PROPN
ejpam-2610	132	12	�	�	PROPN
ejpam-2610	132	13	�	�	PROPN
ejpam-2610	132	14	e−	e−	PROPN
ejpam-2610	132	15	p	p	NOUN
ejpam-2610	132	16	1+λ|t+τ−s|	1+λ|t+τ−s|	ADJ
ejpam-2610	132	17	−	−	NOUN
ejpam-2610	133	1	e−	e−	PROPN
ejpam-2610	133	2	p	p	PROPN
ejpam-2610	133	3	1+λ(t+τ+s	1+λ(t+τ+s	NOUN
ejpam-2610	133	4	)	)	PUNCT
ejpam-2610	133	5	−	−	PROPN
ejpam-2610	134	1	e−	e−	PROPN
ejpam-2610	134	2	p	p	PROPN
ejpam-2610	134	3	1+λ|t−s|	1+λ|t−s|	PROPN
ejpam-2610	134	4	−	−	PROPN
ejpam-2610	134	5	e−	e−	PROPN
ejpam-2610	134	6	p	p	PROPN
ejpam-2610	134	7	1+λ(t+s	1+λ(t+s	NUM
ejpam-2610	134	8	)	)	PUNCT
ejpam-2610	134	9	�	�	PROPN
ejpam-2610	134	10	�	�	PROPN
ejpam-2610	134	11	�	�	PROPN
ejpam-2610	134	12	dsdλ	dsdλ	NOUN
ejpam-2610	134	13	≤‖	≤‖	PROPN
ejpam-2610	134	14	f	f	PROPN
ejpam-2610	134	15	‖c(eα	‖c(eα	PROPN
ejpam-2610	134	16	)	)	PUNCT
ejpam-2610	134	17	∞	∞	NUM
ejpam-2610	134	18	∫	∫	NOUN
ejpam-2610	134	19	0	0	NUM
ejpam-2610	135	1	λ−α	λ−α	NOUN
ejpam-2610	135	2	2	2	NUM
ejpam-2610	135	3	(	(	PUNCT
ejpam-2610	135	4	1+λ	1+λ	NUM
ejpam-2610	135	5	)	)	PUNCT
ejpam-2610	135	6	1	1	NUM
ejpam-2610	135	7	τ2α	τ2α	SYM
ejpam-2610	135	8	�	�	PROPN
ejpam-2610	135	9	1−	1−	NUM
ejpam-2610	136	1	e−	e−	PROPN
ejpam-2610	136	2	p	p	X
ejpam-2610	136	3	1+λτ	1+λτ	NUM
ejpam-2610	136	4	�	�	PROPN
ejpam-2610	136	5	dλ	dλ	NOUN
ejpam-2610	136	6	=	=	PROPN
ejpam-2610	136	7	‖	‖	PROPN
ejpam-2610	136	8	f	f	PROPN
ejpam-2610	136	9	‖c(eα	‖c(eα	PROPN
ejpam-2610	136	10	)	)	PUNCT
ejpam-2610	136	11			NOUN
ejpam-2610	136	12			NOUN
ejpam-2610	136	13	1	1	NUM
ejpam-2610	136	14	∫	∫	NOUN
ejpam-2610	136	15	0	0	NUM
ejpam-2610	137	1	λ−α	λ−α	NOUN
ejpam-2610	137	2	2	2	NUM
ejpam-2610	137	3	(	(	PUNCT
ejpam-2610	137	4	1+λ	1+λ	NUM
ejpam-2610	137	5	)	)	PUNCT
ejpam-2610	137	6	1	1	NUM
ejpam-2610	137	7	τ2α	τ2α	SYM
ejpam-2610	137	8	�	�	PROPN
ejpam-2610	137	9	1−	1−	NUM
ejpam-2610	138	1	e−	e−	PROPN
ejpam-2610	138	2	p	p	X
ejpam-2610	138	3	1+λτ	1+λτ	NUM
ejpam-2610	138	4	�	�	PROPN
ejpam-2610	138	5	dλ+	dλ+	NOUN
ejpam-2610	138	6	∞	∞	PROPN
ejpam-2610	138	7	∫	∫	PROPN
ejpam-2610	138	8	1	1	NUM
ejpam-2610	138	9	λ−α	λ−α	NOUN
ejpam-2610	138	10	2	2	NUM
ejpam-2610	138	11	(	(	PUNCT
ejpam-2610	138	12	1+λ	1+λ	NUM
ejpam-2610	138	13	)	)	PUNCT
ejpam-2610	138	14	1	1	NUM
ejpam-2610	138	15	τ2α	τ2α	SYM
ejpam-2610	138	16	�	�	PROPN
ejpam-2610	138	17	1−	1−	NUM
ejpam-2610	138	18	e−	e−	PROPN
ejpam-2610	138	19	p	p	X
ejpam-2610	138	20	1+λτ	1+λτ	NUM
ejpam-2610	138	21	�	�	PROPN
ejpam-2610	138	22	dλ	dλ	PROPN
ejpam-2610	138	23			PROPN
ejpam-2610	138	24			PUNCT
ejpam-2610	139	1	≤m(α)‖	≤m(α)‖	NOUN
ejpam-2610	139	2	f	f	PROPN
ejpam-2610	139	3	‖c(eα	‖c(eα	PROPN
ejpam-2610	139	4	)	)	PUNCT
ejpam-2610	139	5	.	.	PUNCT
ejpam-2610	140	1	(	(	PUNCT
ejpam-2610	140	2	12	12	NUM
ejpam-2610	140	3	)	)	PUNCT
ejpam-2610	140	4	in	in	ADP
ejpam-2610	140	5	the	the	DET
ejpam-2610	140	6	same	same	ADJ
ejpam-2610	140	7	manner	manner	NOUN
ejpam-2610	140	8	,	,	PUNCT
ejpam-2610	140	9	we	we	PRON
ejpam-2610	140	10	get	get	VERB
ejpam-2610	140	11	|j2|	|j2|	NOUN
ejpam-2610	140	12	≤m(α)‖	≤m(α)‖	PROPN
ejpam-2610	140	13	f	f	PROPN
ejpam-2610	140	14	‖c(eα	‖c(eα	PROPN
ejpam-2610	140	15	)	)	PUNCT
ejpam-2610	140	16	,	,	PUNCT
ejpam-2610	140	17	(	(	PUNCT
ejpam-2610	140	18	13	13	NUM
ejpam-2610	140	19	)	)	PUNCT
ejpam-2610	140	20	|j3|	|j3|	VERB
ejpam-2610	140	21	≤m(α)‖	≤m(α)‖	PROPN
ejpam-2610	140	22	f	f	PROPN
ejpam-2610	140	23	‖c(eα	‖c(eα	PROPN
ejpam-2610	140	24	)	)	PUNCT
ejpam-2610	140	25	.	.	PUNCT
ejpam-2610	141	1	(	(	PUNCT
ejpam-2610	141	2	14	14	NUM
ejpam-2610	141	3	)	)	PUNCT
ejpam-2610	141	4	estimates	estimate	NOUN
ejpam-2610	141	5	(	(	PUNCT
ejpam-2610	141	6	12)-(14	12)-(14	NOUN
ejpam-2610	141	7	)	)	PUNCT
ejpam-2610	141	8	yield	yield	NOUN
ejpam-2610	141	9	that	that	PRON
ejpam-2610	141	10	sup	sup	NOUN
ejpam-2610	141	11	0≤t	0≤t	NOUN
ejpam-2610	141	12	<	<	X
ejpam-2610	141	13	t+τ<∞	t+τ<∞	NOUN
ejpam-2610	141	14	|	|	ADV
ejpam-2610	141	15	f	f	X
ejpam-2610	141	16	(	(	PUNCT
ejpam-2610	141	17	t	t	PROPN
ejpam-2610	141	18	+	+	PROPN
ejpam-2610	141	19	τ)−	τ)−	PROPN
ejpam-2610	141	20	f	f	PROPN
ejpam-2610	141	21	(	(	PUNCT
ejpam-2610	141	22	t)|	t)|	INTJ
ejpam-2610	141	23	τ2α	τ2α	PUNCT
ejpam-2610	141	24	≤	≤	NUM
ejpam-2610	141	25	m(α)‖	m(α)‖	PROPN
ejpam-2610	141	26	f	f	PROPN
ejpam-2610	141	27	‖c(eα	‖c(eα	PROPN
ejpam-2610	141	28	)	)	PUNCT
ejpam-2610	141	29	.	.	PUNCT
ejpam-2610	142	1	(	(	PUNCT
ejpam-2610	142	2	15	15	NUM
ejpam-2610	142	3	)	)	PUNCT
ejpam-2610	142	4	therefore	therefore	ADV
ejpam-2610	142	5	,	,	PUNCT
ejpam-2610	142	6	estimates	estimate	NOUN
ejpam-2610	142	7	(	(	PUNCT
ejpam-2610	142	8	10	10	NUM
ejpam-2610	142	9	)	)	PUNCT
ejpam-2610	142	10	and	and	CCONJ
ejpam-2610	142	11	(	(	PUNCT
ejpam-2610	142	12	15	15	X
ejpam-2610	142	13	)	)	PUNCT
ejpam-2610	142	14	finish	finish	VERB
ejpam-2610	142	15	the	the	DET
ejpam-2610	142	16	proof	proof	NOUN
ejpam-2610	142	17	of	of	ADP
ejpam-2610	142	18	theorem	theorem	NOUN
ejpam-2610	142	19	2	2	NUM
ejpam-2610	142	20	.	.	NUM
ejpam-2610	142	21	from	from	ADP
ejpam-2610	142	22	the	the	DET
ejpam-2610	142	23	positivity	positivity	NOUN
ejpam-2610	142	24	of	of	ADP
ejpam-2610	142	25	an	an	DET
ejpam-2610	142	26	elliptic	elliptic	ADJ
ejpam-2610	142	27	operator	operator	NOUN
ejpam-2610	142	28	a	a	PRON
ejpam-2610	142	29	in	in	ADP
ejpam-2610	142	30	the	the	DET
ejpam-2610	142	31	banach	banach	NOUN
ejpam-2610	142	32	space	space	NOUN
ejpam-2610	142	33	c	c	PROPN
ejpam-2610	142	34	�	�	PROPN
ejpam-2610	142	35	r+	r+	PUNCT
ejpam-2610	142	36	�	�	PROPN
ejpam-2610	142	37	and	and	CCONJ
ejpam-2610	142	38	estimate	estimate	VERB
ejpam-2610	142	39	(	(	PUNCT
ejpam-2610	142	40	9	9	X
ejpam-2610	142	41	)	)	PUNCT
ejpam-2610	142	42	it	it	PRON
ejpam-2610	142	43	follows	follow	VERB
ejpam-2610	142	44	the	the	DET
ejpam-2610	142	45	positivity	positivity	NOUN
ejpam-2610	142	46	of	of	ADP
ejpam-2610	142	47	this	this	DET
ejpam-2610	142	48	operator	operator	NOUN
ejpam-2610	142	49	in	in	ADP
ejpam-2610	142	50	banach	banach	NOUN
ejpam-2610	142	51	spaces	space	NOUN
ejpam-2610	142	52	c2α	c2α	PROPN
ejpam-2610	142	53	�	�	PROPN
ejpam-2610	142	54	r+	r+	PUNCT
ejpam-2610	142	55	�	�	PROPN
ejpam-2610	142	56	.	.	PUNCT
ejpam-2610	143	1	4	4	X
ejpam-2610	143	2	.	.	X
ejpam-2610	143	3	applications	application	NOUN
ejpam-2610	143	4	in	in	ADP
ejpam-2610	143	5	this	this	DET
ejpam-2610	143	6	section	section	NOUN
ejpam-2610	143	7	,	,	PUNCT
ejpam-2610	143	8	we	we	PRON
ejpam-2610	143	9	will	will	AUX
ejpam-2610	143	10	consider	consider	VERB
ejpam-2610	143	11	some	some	DET
ejpam-2610	143	12	applications	application	NOUN
ejpam-2610	143	13	of	of	ADP
ejpam-2610	143	14	theorems	theorem	NOUN
ejpam-2610	143	15	1	1	NUM
ejpam-2610	143	16	-	-	SYM
ejpam-2610	143	17	2	2	NUM
ejpam-2610	143	18	.	.	PUNCT
ejpam-2610	144	1	first	first	ADV
ejpam-2610	144	2	,	,	PUNCT
ejpam-2610	144	3	we	we	PRON
ejpam-2610	144	4	will	will	AUX
ejpam-2610	144	5	consider	consider	VERB
ejpam-2610	144	6	the	the	DET
ejpam-2610	144	7	boundary	boundary	ADJ
ejpam-2610	144	8	value	value	NOUN
ejpam-2610	144	9	problem	problem	NOUN
ejpam-2610	144	10	for	for	ADP
ejpam-2610	144	11	the	the	DET
ejpam-2610	144	12	elliptic	elliptic	ADJ
ejpam-2610	144	13	equation	equation	NOUN
ejpam-2610	144	14			PRON
ejpam-2610	144	15			VERB
ejpam-2610	144	16			PRON
ejpam-2610	144	17			ADJ
ejpam-2610	144	18			NOUN
ejpam-2610	144	19	−	−	PROPN
ejpam-2610	144	20	∂	∂	NOUN
ejpam-2610	144	21	2u(t	2u(t	NUM
ejpam-2610	144	22	,	,	PUNCT
ejpam-2610	144	23	x	x	NOUN
ejpam-2610	144	24	)	)	PUNCT
ejpam-2610	144	25	∂	∂	NUM
ejpam-2610	144	26	t2	t2	PROPN
ejpam-2610	144	27	−	−	PROPN
ejpam-2610	144	28	∂	∂	NUM
ejpam-2610	144	29	2u(t	2u(t	NUM
ejpam-2610	144	30	,	,	PUNCT
ejpam-2610	144	31	x	x	X
ejpam-2610	144	32	)	)	PUNCT
ejpam-2610	144	33	∂	∂	NOUN
ejpam-2610	145	1	x2	x2	NOUN
ejpam-2610	146	1	+	+	NOUN
ejpam-2610	146	2	δu(t	δu(t	NOUN
ejpam-2610	146	3	,	,	PUNCT
ejpam-2610	146	4	x	x	X
ejpam-2610	146	5	)	)	PUNCT
ejpam-2610	146	6	=	=	SYM
ejpam-2610	146	7	f	f	PROPN
ejpam-2610	146	8	(	(	PUNCT
ejpam-2610	146	9	t	t	PROPN
ejpam-2610	146	10	,	,	PUNCT
ejpam-2610	146	11	x	x	NOUN
ejpam-2610	146	12	)	)	PUNCT
ejpam-2610	146	13	,	,	PUNCT
ejpam-2610	146	14	0	0	NUM
ejpam-2610	146	15	<	<	X
ejpam-2610	146	16	t	t	X
ejpam-2610	146	17	<	<	X
ejpam-2610	146	18	t	t	PROPN
ejpam-2610	146	19	,	,	PUNCT
ejpam-2610	146	20	x	x	PROPN
ejpam-2610	146	21	∈	∈	PROPN
ejpam-2610	146	22	r+	r+	NOUN
ejpam-2610	146	23	,	,	PUNCT
ejpam-2610	146	24	u(0	u(0	PROPN
ejpam-2610	146	25	,	,	PUNCT
ejpam-2610	146	26	x	x	NOUN
ejpam-2610	146	27	)	)	PUNCT
ejpam-2610	146	28	=	=	SYM
ejpam-2610	146	29	ϕ(x	ϕ(x	PROPN
ejpam-2610	146	30	)	)	PUNCT
ejpam-2610	146	31	,	,	PUNCT
ejpam-2610	146	32	u(t	u(t	NOUN
ejpam-2610	146	33	,	,	PUNCT
ejpam-2610	146	34	x	x	X
ejpam-2610	146	35	)	)	PUNCT
ejpam-2610	146	36	=	=	NOUN
ejpam-2610	146	37	ψ(x	ψ(x	NOUN
ejpam-2610	146	38	)	)	PUNCT
ejpam-2610	146	39	,	,	PUNCT
ejpam-2610	146	40	x	x	PUNCT
ejpam-2610	146	41	∈	∈	NOUN
ejpam-2610	146	42	r+	r+	NOUN
ejpam-2610	146	43	,	,	PUNCT
ejpam-2610	146	44	u(t	u(t	NOUN
ejpam-2610	146	45	,	,	PUNCT
ejpam-2610	146	46	0	0	NUM
ejpam-2610	146	47	)	)	PUNCT
ejpam-2610	146	48	=	=	SYM
ejpam-2610	146	49	0	0	NUM
ejpam-2610	146	50	,	,	PUNCT
ejpam-2610	146	51	0≤	0≤	NUM
ejpam-2610	146	52	t	t	NOUN
ejpam-2610	146	53	≤	≤	NOUN
ejpam-2610	146	54	t	t	PROPN
ejpam-2610	146	55	.	.	PUNCT
ejpam-2610	147	1	(	(	PUNCT
ejpam-2610	147	2	16	16	NUM
ejpam-2610	147	3	)	)	PUNCT
ejpam-2610	147	4	here	here	ADV
ejpam-2610	147	5	,	,	PUNCT
ejpam-2610	147	6	ϕ(x	ϕ(x	PROPN
ejpam-2610	147	7	)	)	PUNCT
ejpam-2610	147	8	,	,	PUNCT
ejpam-2610	147	9	ψ(x	ψ(x	NOUN
ejpam-2610	147	10	)	)	PUNCT
ejpam-2610	147	11	and	and	CCONJ
ejpam-2610	147	12	f	f	PROPN
ejpam-2610	147	13	(	(	PUNCT
ejpam-2610	147	14	t	t	PROPN
ejpam-2610	147	15	,	,	PUNCT
ejpam-2610	147	16	x	x	X
ejpam-2610	147	17	)	)	PUNCT
ejpam-2610	147	18	are	be	AUX
ejpam-2610	147	19	sufficiently	sufficiently	ADV
ejpam-2610	147	20	smooth	smooth	ADJ
ejpam-2610	147	21	functions	function	NOUN
ejpam-2610	147	22	and	and	CCONJ
ejpam-2610	147	23	they	they	PRON
ejpam-2610	147	24	satisfy	satisfy	VERB
ejpam-2610	147	25	every	every	DET
ejpam-2610	147	26	compatibility	compatibility	NOUN
ejpam-2610	147	27	conditions	condition	NOUN
ejpam-2610	147	28	which	which	PRON
ejpam-2610	147	29	guarantee	guarantee	VERB
ejpam-2610	147	30	the	the	DET
ejpam-2610	147	31	problem	problem	NOUN
ejpam-2610	147	32	(	(	PUNCT
ejpam-2610	147	33	16	16	NUM
ejpam-2610	147	34	)	)	PUNCT
ejpam-2610	147	35	has	have	VERB
ejpam-2610	147	36	a	a	DET
ejpam-2610	147	37	smooth	smooth	ADJ
ejpam-2610	147	38	solution	solution	NOUN
ejpam-2610	147	39	u(t	u(t	NOUN
ejpam-2610	147	40	,	,	PUNCT
ejpam-2610	147	41	x	x	NOUN
ejpam-2610	147	42	)	)	PUNCT
ejpam-2610	147	43	.	.	PUNCT
ejpam-2610	148	1	assume	assume	VERB
ejpam-2610	148	2	that	that	SCONJ
ejpam-2610	148	3	the	the	DET
ejpam-2610	148	4	assumption	assumption	NOUN
ejpam-2610	148	5	of	of	ADP
ejpam-2610	148	6	the	the	DET
ejpam-2610	148	7	uniform	uniform	ADJ
ejpam-2610	148	8	ellipticity	ellipticity	NOUN
ejpam-2610	148	9	holds	hold	VERB
ejpam-2610	148	10	.	.	PUNCT
ejpam-2610	149	1	a.	a.	PROPN
ejpam-2610	149	2	ashyralyev	ashyralyev	PROPN
ejpam-2610	149	3	,	,	PUNCT
ejpam-2610	149	4	s.	s.	PROPN
ejpam-2610	149	5	akturk	akturk	PROPN
ejpam-2610	149	6	/	/	SYM
ejpam-2610	149	7	eur	eur	PROPN
ejpam-2610	149	8	.	.	PUNCT
ejpam-2610	150	1	j.	j.	PROPN
ejpam-2610	150	2	pure	pure	PROPN
ejpam-2610	150	3	appl	appl	PROPN
ejpam-2610	150	4	.	.	PROPN
ejpam-2610	150	5	math	math	PROPN
ejpam-2610	150	6	,	,	PUNCT
ejpam-2610	150	7	9	9	NUM
ejpam-2610	150	8	(	(	PUNCT
ejpam-2610	150	9	2016	2016	NUM
ejpam-2610	150	10	)	)	PUNCT
ejpam-2610	150	11	,	,	PUNCT
ejpam-2610	150	12	165	165	NUM
ejpam-2610	150	13	-	-	SYM
ejpam-2610	150	14	174	174	NUM
ejpam-2610	150	15	171	171	NUM
ejpam-2610	150	16	theorem	theorem	NOUN
ejpam-2610	150	17	3	3	X
ejpam-2610	150	18	.	.	PUNCT
ejpam-2610	151	1	let	let	VERB
ejpam-2610	151	2	0	0	NUM
ejpam-2610	151	3	<	<	X
ejpam-2610	151	4	2α	2α	X
ejpam-2610	151	5	<	<	X
ejpam-2610	151	6	1	1	NUM
ejpam-2610	151	7	.	.	PUNCT
ejpam-2610	152	1	then	then	ADV
ejpam-2610	152	2	for	for	ADP
ejpam-2610	152	3	the	the	DET
ejpam-2610	152	4	solution	solution	NOUN
ejpam-2610	152	5	of	of	ADP
ejpam-2610	152	6	boundary	boundary	ADJ
ejpam-2610	152	7	value	value	NOUN
ejpam-2610	152	8	problem	problem	NOUN
ejpam-2610	152	9	(	(	PUNCT
ejpam-2610	152	10	16	16	NUM
ejpam-2610	152	11	)	)	PUNCT
ejpam-2610	152	12	,	,	PUNCT
ejpam-2610	152	13	we	we	PRON
ejpam-2610	152	14	have	have	VERB
ejpam-2610	152	15	the	the	DET
ejpam-2610	152	16	following	follow	VERB
ejpam-2610	152	17	coercive	coercive	ADJ
ejpam-2610	152	18	stability	stability	NOUN
ejpam-2610	152	19	inequality	inequality	NOUN
ejpam-2610	152	20	‖ut	‖ut	PROPN
ejpam-2610	152	21	t‖c(c2α(r+	t‖c(c2α(r+	X
ejpam-2610	152	22	)	)	PUNCT
ejpam-2610	152	23	)	)	PUNCT
ejpam-2610	153	1	+	+	CCONJ
ejpam-2610	154	1	‖u‖c(c2	‖u‖c(c2	PROPN
ejpam-2610	154	2	+	+	ADJ
ejpam-2610	154	3	2α(r+	2α(r+	NUM
ejpam-2610	154	4	)	)	PUNCT
ejpam-2610	154	5	)	)	PUNCT
ejpam-2610	154	6	≤	≤	NUM
ejpam-2610	154	7	m(α	m(α	PROPN
ejpam-2610	154	8	)	)	PUNCT
ejpam-2610	154	9	�	�	PROPN
ejpam-2610	154	10	‖ϕ‖c2	‖ϕ‖c2	PRON
ejpam-2610	154	11	+	+	NOUN
ejpam-2610	154	12	2α(r+	2α(r+	NUM
ejpam-2610	154	13	)	)	PUNCT
ejpam-2610	154	14	+	+	CCONJ
ejpam-2610	154	15	‖ψ‖c2	‖ψ‖c2	NUM
ejpam-2610	154	16	+	+	NOUN
ejpam-2610	154	17	2α((r+	2α((r+	NUM
ejpam-2610	154	18	)	)	PUNCT
ejpam-2610	154	19	+	+	CCONJ
ejpam-2610	154	20	‖	‖	PROPN
ejpam-2610	154	21	f	f	PROPN
ejpam-2610	154	22	‖c(c2α(r+	‖c(c2α(r+	NUM
ejpam-2610	154	23	)	)	PUNCT
ejpam-2610	154	24	)	)	PUNCT
ejpam-2610	154	25	�	�	PROPN
ejpam-2610	154	26	.	.	PUNCT
ejpam-2610	155	1	the	the	DET
ejpam-2610	155	2	proof	proof	NOUN
ejpam-2610	155	3	of	of	ADP
ejpam-2610	155	4	theorem	theorem	ADJ
ejpam-2610	155	5	3	3	NUM
ejpam-2610	155	6	is	be	AUX
ejpam-2610	155	7	based	base	VERB
ejpam-2610	155	8	on	on	ADP
ejpam-2610	155	9	theorem	theorem	NOUN
ejpam-2610	155	10	2	2	NUM
ejpam-2610	155	11	on	on	ADP
ejpam-2610	155	12	the	the	DET
ejpam-2610	155	13	structure	structure	NOUN
ejpam-2610	155	14	of	of	ADP
ejpam-2610	155	15	the	the	DET
ejpam-2610	155	16	fractional	fractional	ADJ
ejpam-2610	155	17	spaces	space	NOUN
ejpam-2610	155	18	eα(c(r+),a	eα(c(r+),a	PROPN
ejpam-2610	155	19	)	)	PUNCT
ejpam-2610	155	20	,	,	PUNCT
ejpam-2610	155	21	theorem	theorem	VERB
ejpam-2610	155	22	1	1	NUM
ejpam-2610	155	23	on	on	ADP
ejpam-2610	155	24	the	the	DET
ejpam-2610	155	25	positivity	positivity	NOUN
ejpam-2610	155	26	of	of	ADP
ejpam-2610	155	27	the	the	DET
ejpam-2610	155	28	operator	operator	NOUN
ejpam-2610	155	29	a	a	PRON
ejpam-2610	155	30	,	,	PUNCT
ejpam-2610	155	31	on	on	ADP
ejpam-2610	155	32	the	the	DET
ejpam-2610	155	33	following	follow	VERB
ejpam-2610	155	34	theorems	theorem	NOUN
ejpam-2610	155	35	on	on	ADP
ejpam-2610	155	36	coercive	coercive	ADJ
ejpam-2610	155	37	stability	stability	NOUN
ejpam-2610	155	38	of	of	ADP
ejpam-2610	155	39	boundary	boundary	ADJ
ejpam-2610	155	40	value	value	NOUN
ejpam-2610	155	41	for	for	ADP
ejpam-2610	155	42	the	the	DET
ejpam-2610	155	43	abstract	abstract	ADJ
ejpam-2610	155	44	elliptic	elliptic	ADJ
ejpam-2610	155	45	equation	equation	NOUN
ejpam-2610	155	46	and	and	CCONJ
ejpam-2610	155	47	on	on	ADP
ejpam-2610	155	48	the	the	DET
ejpam-2610	155	49	structure	structure	NOUN
ejpam-2610	155	50	of	of	ADP
ejpam-2610	155	51	the	the	DET
ejpam-2610	155	52	fractional	fractional	ADJ
ejpam-2610	155	53	space	space	NOUN
ejpam-2610	155	54	e′α	e′α	PROPN
ejpam-2610	155	55	=	=	SYM
ejpam-2610	155	56	eα(e	eα(e	PROPN
ejpam-2610	155	57	,	,	PUNCT
ejpam-2610	155	58	a1/2	a1/2	NOUN
ejpam-2610	155	59	)	)	PUNCT
ejpam-2610	155	60	which	which	PRON
ejpam-2610	155	61	is	be	AUX
ejpam-2610	155	62	the	the	DET
ejpam-2610	155	63	banach	banach	NOUN
ejpam-2610	155	64	space	space	NOUN
ejpam-2610	155	65	consists	consist	VERB
ejpam-2610	155	66	of	of	ADP
ejpam-2610	155	67	those	those	DET
ejpam-2610	155	68	v	v	ADP
ejpam-2610	155	69	∈	∈	NOUN
ejpam-2610	155	70	e	e	NOUN
ejpam-2610	155	71	for	for	ADP
ejpam-2610	155	72	which	which	PRON
ejpam-2610	155	73	the	the	DET
ejpam-2610	155	74	norm	norm	NOUN
ejpam-2610	155	75	||v||e′α	||v||e′α	PUNCT
ejpam-2610	155	76	=	=	SYM
ejpam-2610	155	77	sup	sup	X
ejpam-2610	155	78	λ>0	λ>0	NOUN
ejpam-2610	155	79	λα	λα	PROPN
ejpam-2610	155	80	a1/2	a1/2	PROPN
ejpam-2610	155	81	�	�	PROPN
ejpam-2610	155	82	λ+	λ+	PUNCT
ejpam-2610	155	83	a1/2	a1/2	PROPN
ejpam-2610	155	84	�	�	PROPN
ejpam-2610	155	85	−1	−1	NOUN
ejpam-2610	155	86	v	v	NOUN
ejpam-2610	155	87	e	e	NOUN
ejpam-2610	156	1	+	+	CCONJ
ejpam-2610	156	2	||v||e	||v||e	PROPN
ejpam-2610	156	3	is	be	AUX
ejpam-2610	156	4	finite	finite	ADJ
ejpam-2610	156	5	.	.	PUNCT
ejpam-2610	157	1	theorem	theorem	ADJ
ejpam-2610	157	2	4	4	NUM
ejpam-2610	157	3	(	(	PUNCT
ejpam-2610	157	4	[	[	X
ejpam-2610	157	5	5	5	NUM
ejpam-2610	157	6	]	]	NUM
ejpam-2610	157	7	)	)	PUNCT
ejpam-2610	157	8	.	.	PUNCT
ejpam-2610	158	1	the	the	DET
ejpam-2610	158	2	spaces	space	NOUN
ejpam-2610	158	3	eα(e	eα(e	PROPN
ejpam-2610	158	4	,	,	PUNCT
ejpam-2610	158	5	a	a	PRON
ejpam-2610	158	6	)	)	PUNCT
ejpam-2610	158	7	and	and	CCONJ
ejpam-2610	158	8	e′2α(a	e′2α(a	VERB
ejpam-2610	158	9	1/2	1/2	NUM
ejpam-2610	158	10	,	,	PUNCT
ejpam-2610	158	11	e	e	NOUN
ejpam-2610	158	12	)	)	PUNCT
ejpam-2610	158	13	coincide	coincide	NOUN
ejpam-2610	158	14	for	for	ADP
ejpam-2610	158	15	any	any	DET
ejpam-2610	158	16	0	0	PUNCT
ejpam-2610	158	17	<	<	X
ejpam-2610	158	18	α	α	X
ejpam-2610	158	19	<	<	X
ejpam-2610	158	20	1	1	NUM
ejpam-2610	158	21	2	2	NUM
ejpam-2610	158	22	,	,	PUNCT
ejpam-2610	158	23	and	and	CCONJ
ejpam-2610	158	24	their	their	PRON
ejpam-2610	158	25	norms	norm	NOUN
ejpam-2610	158	26	are	be	AUX
ejpam-2610	158	27	equivalent	equivalent	ADJ
ejpam-2610	158	28	.	.	PUNCT
ejpam-2610	159	1	theorem	theorem	ADJ
ejpam-2610	159	2	5	5	NUM
ejpam-2610	159	3	(	(	PUNCT
ejpam-2610	159	4	[	[	X
ejpam-2610	159	5	7	7	NUM
ejpam-2610	159	6	]	]	NUM
ejpam-2610	159	7	)	)	PUNCT
ejpam-2610	159	8	.	.	PUNCT
ejpam-2610	160	1	let	let	VERB
ejpam-2610	160	2	a	a	PRON
ejpam-2610	160	3	be	be	AUX
ejpam-2610	160	4	positive	positive	ADJ
ejpam-2610	160	5	operator	operator	NOUN
ejpam-2610	160	6	in	in	ADP
ejpam-2610	160	7	a	a	DET
ejpam-2610	160	8	banach	banach	NOUN
ejpam-2610	160	9	space	space	NOUN
ejpam-2610	160	10	e	e	NOUN
ejpam-2610	160	11	and	and	CCONJ
ejpam-2610	160	12	f	f	PROPN
ejpam-2610	160	13	∈	∈	PROPN
ejpam-2610	160	14	c([0	c([0	PROPN
ejpam-2610	160	15	,	,	PUNCT
ejpam-2610	160	16	t	t	PROPN
ejpam-2610	160	17	]	]	PUNCT
ejpam-2610	160	18	,	,	PUNCT
ejpam-2610	160	19	e′α	e′α	PROPN
ejpam-2610	160	20	)	)	PUNCT
ejpam-2610	160	21	(	(	PUNCT
ejpam-2610	160	22	0	0	NUM
ejpam-2610	160	23	<	<	X
ejpam-2610	160	24	α	α	X
ejpam-2610	160	25	<	<	X
ejpam-2610	160	26	1	1	NUM
ejpam-2610	160	27	)	)	PUNCT
ejpam-2610	160	28	.	.	PUNCT
ejpam-2610	161	1	then	then	ADV
ejpam-2610	161	2	,	,	PUNCT
ejpam-2610	161	3	for	for	ADP
ejpam-2610	161	4	the	the	DET
ejpam-2610	161	5	solution	solution	NOUN
ejpam-2610	161	6	of	of	ADP
ejpam-2610	161	7	boundary	boundary	ADJ
ejpam-2610	161	8	value	value	NOUN
ejpam-2610	161	9	problem	problem	NOUN
ejpam-2610	161	10	¨	¨	NOUN
ejpam-2610	161	11	−u′′(t	−u′′(t	VERB
ejpam-2610	161	12	)	)	PUNCT
ejpam-2610	161	13	+	+	NUM
ejpam-2610	161	14	au(t	au(t	NUM
ejpam-2610	161	15	)	)	PUNCT
ejpam-2610	161	16	=	=	SYM
ejpam-2610	161	17	f	f	PROPN
ejpam-2610	161	18	(	(	PUNCT
ejpam-2610	161	19	t	t	PROPN
ejpam-2610	161	20	)	)	PUNCT
ejpam-2610	161	21	,	,	PUNCT
ejpam-2610	161	22	0	0	NUM
ejpam-2610	161	23	<	<	X
ejpam-2610	161	24	t	t	X
ejpam-2610	161	25	<	<	X
ejpam-2610	161	26	t	t	PROPN
ejpam-2610	161	27	,	,	PUNCT
ejpam-2610	161	28	u(0	u(0	PROPN
ejpam-2610	161	29	)	)	PUNCT
ejpam-2610	161	30	=	=	SYM
ejpam-2610	161	31	ϕ	ϕ	NOUN
ejpam-2610	161	32	,	,	PUNCT
ejpam-2610	161	33	u(t	u(t	PROPN
ejpam-2610	161	34	)	)	PUNCT
ejpam-2610	162	1	=	=	SYM
ejpam-2610	162	2	ψ	ψ	X
ejpam-2610	162	3	(	(	PUNCT
ejpam-2610	162	4	17	17	NUM
ejpam-2610	162	5	)	)	PUNCT
ejpam-2610	162	6	in	in	ADP
ejpam-2610	162	7	a	a	DET
ejpam-2610	162	8	banach	banach	NOUN
ejpam-2610	162	9	space	space	NOUN
ejpam-2610	162	10	e	e	NOUN
ejpam-2610	162	11	with	with	ADP
ejpam-2610	162	12	positive	positive	ADJ
ejpam-2610	162	13	operator	operator	NOUN
ejpam-2610	162	14	a	a	DET
ejpam-2610	162	15	the	the	DET
ejpam-2610	162	16	coercive	coercive	ADJ
ejpam-2610	162	17	inequality	inequality	NOUN
ejpam-2610	162	18	‖u′′‖c([0,t],e′α	‖u′′‖c([0,t],e′α	ADJ
ejpam-2610	162	19	)	)	PUNCT
ejpam-2610	163	1	+	+	SYM
ejpam-2610	164	1	‖au‖c([0,t],e′α	‖au‖c([0,t],e′α	X
ejpam-2610	164	2	)	)	PUNCT
ejpam-2610	164	3	≤	≤	NUM
ejpam-2610	164	4	m	m	VERB
ejpam-2610	164	5	�	�	NOUN
ejpam-2610	164	6	‖aϕ‖e′α	‖aϕ‖e′α	PRON
ejpam-2610	164	7	+	+	SYM
ejpam-2610	164	8	‖aψ‖e′α	‖aψ‖e′α	X
ejpam-2610	164	9	+	+	NUM
ejpam-2610	164	10	m	m	VERB
ejpam-2610	164	11	α	α	NOUN
ejpam-2610	164	12	(	(	PUNCT
ejpam-2610	164	13	1−α)‖	1−α)‖	PROPN
ejpam-2610	164	14	f	f	X
ejpam-2610	164	15	‖c([0,t],e′α	‖c([0,t],e′α	PUNCT
ejpam-2610	164	16	)	)	PUNCT
ejpam-2610	164	17	�	�	PROPN
ejpam-2610	164	18	holds	hold	VERB
ejpam-2610	164	19	.	.	PUNCT
ejpam-2610	165	1	second	second	ADJ
ejpam-2610	165	2	,	,	PUNCT
ejpam-2610	165	3	we	we	PRON
ejpam-2610	165	4	will	will	AUX
ejpam-2610	165	5	consider	consider	VERB
ejpam-2610	165	6	the	the	DET
ejpam-2610	165	7	nonlocal	nonlocal	ADJ
ejpam-2610	165	8	-	-	PUNCT
ejpam-2610	165	9	boundary	boundary	NOUN
ejpam-2610	165	10	value	value	NOUN
ejpam-2610	165	11	problem	problem	NOUN
ejpam-2610	165	12	for	for	ADP
ejpam-2610	165	13	the	the	DET
ejpam-2610	165	14	elliptic	elliptic	ADJ
ejpam-2610	165	15	equation	equation	NOUN
ejpam-2610	165	16			PRON
ejpam-2610	165	17			VERB
ejpam-2610	165	18			PRON
ejpam-2610	165	19			ADJ
ejpam-2610	165	20			NOUN
ejpam-2610	165	21	−	−	PROPN
ejpam-2610	165	22	∂	∂	NOUN
ejpam-2610	165	23	2u(t	2u(t	NUM
ejpam-2610	165	24	,	,	PUNCT
ejpam-2610	165	25	x	x	NOUN
ejpam-2610	165	26	)	)	PUNCT
ejpam-2610	165	27	∂	∂	NUM
ejpam-2610	165	28	t2	t2	PROPN
ejpam-2610	165	29	−	−	PROPN
ejpam-2610	165	30	∂	∂	NUM
ejpam-2610	165	31	2u(t	2u(t	NUM
ejpam-2610	165	32	,	,	PUNCT
ejpam-2610	165	33	x	x	X
ejpam-2610	165	34	)	)	PUNCT
ejpam-2610	165	35	∂	∂	NOUN
ejpam-2610	165	36	x2	x2	NOUN
ejpam-2610	166	1	+	+	NOUN
ejpam-2610	166	2	δu(t	δu(t	NOUN
ejpam-2610	166	3	,	,	PUNCT
ejpam-2610	166	4	x	x	X
ejpam-2610	166	5	)	)	PUNCT
ejpam-2610	166	6	=	=	SYM
ejpam-2610	166	7	f	f	PROPN
ejpam-2610	166	8	(	(	PUNCT
ejpam-2610	166	9	t	t	PROPN
ejpam-2610	166	10	,	,	PUNCT
ejpam-2610	166	11	x	x	NOUN
ejpam-2610	166	12	)	)	PUNCT
ejpam-2610	166	13	,	,	PUNCT
ejpam-2610	166	14	0	0	NUM
ejpam-2610	166	15	<	<	X
ejpam-2610	166	16	t	t	X
ejpam-2610	166	17	<	<	X
ejpam-2610	166	18	t	t	PROPN
ejpam-2610	166	19	,	,	PUNCT
ejpam-2610	166	20	x	x	PROPN
ejpam-2610	166	21	∈	∈	PROPN
ejpam-2610	166	22	r+	r+	NOUN
ejpam-2610	166	23	,	,	PUNCT
ejpam-2610	166	24	u(0	u(0	PROPN
ejpam-2610	166	25	,	,	PUNCT
ejpam-2610	166	26	x	x	NOUN
ejpam-2610	166	27	)	)	PUNCT
ejpam-2610	166	28	=	=	SYM
ejpam-2610	166	29	u(t	u(t	NOUN
ejpam-2610	166	30	,	,	PUNCT
ejpam-2610	166	31	x	x	NOUN
ejpam-2610	166	32	)	)	PUNCT
ejpam-2610	166	33	,	,	PUNCT
ejpam-2610	166	34	ut(0	ut(0	PROPN
ejpam-2610	166	35	,	,	PUNCT
ejpam-2610	166	36	x	x	NOUN
ejpam-2610	166	37	)	)	PUNCT
ejpam-2610	166	38	=	=	SYM
ejpam-2610	166	39	ut(t	ut(t	NOUN
ejpam-2610	166	40	,	,	PUNCT
ejpam-2610	166	41	x	x	NOUN
ejpam-2610	166	42	)	)	PUNCT
ejpam-2610	166	43	,	,	PUNCT
ejpam-2610	166	44	x	x	PUNCT
ejpam-2610	166	45	∈	∈	NOUN
ejpam-2610	166	46	r+	r+	NOUN
ejpam-2610	166	47	,	,	PUNCT
ejpam-2610	166	48	u(t	u(t	NOUN
ejpam-2610	166	49	,	,	PUNCT
ejpam-2610	166	50	0	0	NUM
ejpam-2610	166	51	)	)	PUNCT
ejpam-2610	166	52	=	=	SYM
ejpam-2610	166	53	0	0	NUM
ejpam-2610	166	54	,	,	PUNCT
ejpam-2610	166	55	0≤	0≤	NUM
ejpam-2610	166	56	t	t	NOUN
ejpam-2610	166	57	≤	≤	NOUN
ejpam-2610	166	58	t	t	PROPN
ejpam-2610	166	59	.	.	PUNCT
ejpam-2610	167	1	(	(	PUNCT
ejpam-2610	167	2	18	18	NUM
ejpam-2610	167	3	)	)	PUNCT
ejpam-2610	167	4	here	here	ADV
ejpam-2610	167	5	,	,	PUNCT
ejpam-2610	167	6	f	f	PROPN
ejpam-2610	167	7	(	(	PUNCT
ejpam-2610	167	8	t	t	PROPN
ejpam-2610	167	9	,	,	PUNCT
ejpam-2610	167	10	x	x	X
ejpam-2610	167	11	)	)	PUNCT
ejpam-2610	167	12	is	be	AUX
ejpam-2610	167	13	a	a	DET
ejpam-2610	167	14	sufficiently	sufficiently	ADV
ejpam-2610	167	15	smooth	smooth	ADJ
ejpam-2610	167	16	function	function	NOUN
ejpam-2610	167	17	and	and	CCONJ
ejpam-2610	167	18	they	they	PRON
ejpam-2610	167	19	satisfies	satisfy	VERB
ejpam-2610	167	20	every	every	DET
ejpam-2610	167	21	compatibility	compatibility	NOUN
ejpam-2610	167	22	conditions	condition	NOUN
ejpam-2610	167	23	which	which	PRON
ejpam-2610	167	24	guarantee	guarantee	VERB
ejpam-2610	167	25	the	the	DET
ejpam-2610	167	26	problem	problem	NOUN
ejpam-2610	167	27	(	(	PUNCT
ejpam-2610	167	28	18	18	NUM
ejpam-2610	167	29	)	)	PUNCT
ejpam-2610	167	30	has	have	VERB
ejpam-2610	167	31	a	a	DET
ejpam-2610	167	32	smooth	smooth	ADJ
ejpam-2610	167	33	solution	solution	NOUN
ejpam-2610	167	34	u(t	u(t	NOUN
ejpam-2610	167	35	,	,	PUNCT
ejpam-2610	167	36	x	x	NOUN
ejpam-2610	167	37	)	)	PUNCT
ejpam-2610	167	38	.	.	PUNCT
ejpam-2610	168	1	assume	assume	VERB
ejpam-2610	168	2	that	that	SCONJ
ejpam-2610	168	3	the	the	DET
ejpam-2610	168	4	assumption	assumption	NOUN
ejpam-2610	168	5	of	of	ADP
ejpam-2610	168	6	the	the	DET
ejpam-2610	168	7	uniform	uniform	ADJ
ejpam-2610	168	8	ellipticity	ellipticity	NOUN
ejpam-2610	168	9	holds	hold	VERB
ejpam-2610	168	10	.	.	PUNCT
ejpam-2610	169	1	theorem	theorem	NOUN
ejpam-2610	169	2	6	6	NUM
ejpam-2610	169	3	.	.	PUNCT
ejpam-2610	170	1	let	let	VERB
ejpam-2610	170	2	0	0	NUM
ejpam-2610	170	3	<	<	X
ejpam-2610	170	4	2mα	2mα	NOUN
ejpam-2610	170	5	<	<	X
ejpam-2610	170	6	1	1	NUM
ejpam-2610	170	7	.	.	PUNCT
ejpam-2610	171	1	then	then	ADV
ejpam-2610	171	2	for	for	ADP
ejpam-2610	171	3	the	the	DET
ejpam-2610	171	4	solution	solution	NOUN
ejpam-2610	171	5	of	of	ADP
ejpam-2610	171	6	boundary	boundary	ADJ
ejpam-2610	171	7	value	value	NOUN
ejpam-2610	171	8	problem	problem	NOUN
ejpam-2610	171	9	(	(	PUNCT
ejpam-2610	171	10	18	18	NUM
ejpam-2610	171	11	)	)	PUNCT
ejpam-2610	171	12	,	,	PUNCT
ejpam-2610	171	13	we	we	PRON
ejpam-2610	171	14	have	have	VERB
ejpam-2610	171	15	the	the	DET
ejpam-2610	171	16	following	follow	VERB
ejpam-2610	171	17	coercive	coercive	ADJ
ejpam-2610	171	18	stability	stability	NOUN
ejpam-2610	171	19	inequality	inequality	NOUN
ejpam-2610	171	20	‖ut	‖ut	PROPN
ejpam-2610	171	21	t‖c(c2α(r+	t‖c(c2α(r+	X
ejpam-2610	171	22	)	)	PUNCT
ejpam-2610	171	23	)	)	PUNCT
ejpam-2610	172	1	+	+	CCONJ
ejpam-2610	173	1	‖u‖c(c2	‖u‖c(c2	PROPN
ejpam-2610	173	2	+	+	ADJ
ejpam-2610	173	3	2α(r+	2α(r+	NUM
ejpam-2610	173	4	)	)	PUNCT
ejpam-2610	173	5	)	)	PUNCT
ejpam-2610	173	6	≤	≤	NOUN
ejpam-2610	173	7	m(α)‖	m(α)‖	PROPN
ejpam-2610	173	8	f	f	PROPN
ejpam-2610	173	9	‖c(c2α(r+	‖c(c2α(r+	NUM
ejpam-2610	173	10	)	)	PUNCT
ejpam-2610	173	11	)	)	PUNCT
ejpam-2610	173	12	.	.	PUNCT
ejpam-2610	174	1	the	the	DET
ejpam-2610	174	2	proof	proof	NOUN
ejpam-2610	174	3	of	of	ADP
ejpam-2610	174	4	theorem	theorem	NOUN
ejpam-2610	174	5	6	6	NUM
ejpam-2610	174	6	is	be	AUX
ejpam-2610	174	7	based	base	VERB
ejpam-2610	174	8	on	on	ADP
ejpam-2610	174	9	theorem	theorem	NOUN
ejpam-2610	174	10	2	2	NUM
ejpam-2610	174	11	on	on	ADP
ejpam-2610	174	12	the	the	DET
ejpam-2610	174	13	structure	structure	NOUN
ejpam-2610	174	14	of	of	ADP
ejpam-2610	174	15	the	the	DET
ejpam-2610	174	16	fractional	fractional	ADJ
ejpam-2610	174	17	spaces	space	NOUN
ejpam-2610	174	18	eα(c(r+),a	eα(c(r+),a	PROPN
ejpam-2610	174	19	)	)	PUNCT
ejpam-2610	174	20	,	,	PUNCT
ejpam-2610	174	21	theorem	theorem	VERB
ejpam-2610	174	22	1	1	NUM
ejpam-2610	174	23	on	on	ADP
ejpam-2610	174	24	the	the	DET
ejpam-2610	174	25	positivity	positivity	NOUN
ejpam-2610	174	26	of	of	ADP
ejpam-2610	174	27	the	the	DET
ejpam-2610	174	28	operator	operator	NOUN
ejpam-2610	174	29	a	a	PRON
ejpam-2610	174	30	,	,	PUNCT
ejpam-2610	174	31	theorem	theorem	VERB
ejpam-2610	174	32	4	4	NUM
ejpam-2610	174	33	on	on	ADP
ejpam-2610	174	34	the	the	DET
ejpam-2610	174	35	structure	structure	NOUN
ejpam-2610	174	36	of	of	ADP
ejpam-2610	174	37	the	the	DET
ejpam-2610	174	38	fractional	fractional	ADJ
ejpam-2610	174	39	space	space	NOUN
ejpam-2610	174	40	e′α	e′α	PROPN
ejpam-2610	174	41	=	=	SYM
ejpam-2610	174	42	eα(e	eα(e	PROPN
ejpam-2610	174	43	,	,	PUNCT
ejpam-2610	174	44	a1/2	a1/2	NOUN
ejpam-2610	174	45	)	)	PUNCT
ejpam-2610	174	46	and	and	CCONJ
ejpam-2610	174	47	on	on	ADP
ejpam-2610	174	48	the	the	DET
ejpam-2610	174	49	following	following	NOUN
ejpam-2610	174	50	theorem	theorem	NOUN
ejpam-2610	174	51	on	on	ADP
ejpam-2610	174	52	coercive	coercive	ADJ
ejpam-2610	174	53	stability	stability	NOUN
ejpam-2610	174	54	of	of	ADP
ejpam-2610	174	55	nonlocal	nonlocal	ADJ
ejpam-2610	174	56	boundary	boundary	ADJ
ejpam-2610	174	57	value	value	NOUN
ejpam-2610	174	58	problem	problem	NOUN
ejpam-2610	174	59	for	for	ADP
ejpam-2610	174	60	the	the	DET
ejpam-2610	174	61	abstract	abstract	ADJ
ejpam-2610	174	62	elliptic	elliptic	ADJ
ejpam-2610	174	63	equation	equation	NOUN
ejpam-2610	174	64	.	.	PUNCT
ejpam-2610	175	1	references	reference	NOUN
ejpam-2610	175	2	172	172	NUM
ejpam-2610	175	3	theorem	theorem	VERB
ejpam-2610	175	4	7	7	NUM
ejpam-2610	175	5	(	(	PUNCT
ejpam-2610	175	6	[	[	X
ejpam-2610	175	7	7	7	NUM
ejpam-2610	175	8	]	]	NUM
ejpam-2610	175	9	)	)	PUNCT
ejpam-2610	175	10	.	.	PUNCT
ejpam-2610	176	1	let	let	VERB
ejpam-2610	176	2	a	a	PRON
ejpam-2610	176	3	be	be	AUX
ejpam-2610	176	4	positive	positive	ADJ
ejpam-2610	176	5	operator	operator	NOUN
ejpam-2610	176	6	in	in	ADP
ejpam-2610	176	7	a	a	DET
ejpam-2610	176	8	banach	banach	NOUN
ejpam-2610	176	9	space	space	NOUN
ejpam-2610	176	10	e	e	NOUN
ejpam-2610	176	11	and	and	CCONJ
ejpam-2610	176	12	f	f	PROPN
ejpam-2610	176	13	∈	∈	PROPN
ejpam-2610	176	14	c([0	c([0	PROPN
ejpam-2610	176	15	,	,	PUNCT
ejpam-2610	176	16	t	t	PROPN
ejpam-2610	176	17	]	]	PUNCT
ejpam-2610	176	18	,	,	PUNCT
ejpam-2610	176	19	e′α	e′α	PROPN
ejpam-2610	176	20	)	)	PUNCT
ejpam-2610	176	21	(	(	PUNCT
ejpam-2610	176	22	0	0	NUM
ejpam-2610	176	23	<	<	X
ejpam-2610	176	24	α	α	X
ejpam-2610	176	25	<	<	X
ejpam-2610	176	26	1	1	NUM
ejpam-2610	176	27	)	)	PUNCT
ejpam-2610	176	28	.	.	PUNCT
ejpam-2610	177	1	then	then	ADV
ejpam-2610	177	2	,	,	PUNCT
ejpam-2610	177	3	for	for	ADP
ejpam-2610	177	4	the	the	DET
ejpam-2610	177	5	solution	solution	NOUN
ejpam-2610	177	6	of	of	ADP
ejpam-2610	177	7	the	the	DET
ejpam-2610	177	8	nonlocal	nonlocal	ADJ
ejpam-2610	177	9	boundary	boundary	ADJ
ejpam-2610	177	10	value	value	NOUN
ejpam-2610	177	11	problem	problem	NOUN
ejpam-2610	177	12	¨	¨	NOUN
ejpam-2610	177	13	−u′′(t	−u′′(t	VERB
ejpam-2610	177	14	)	)	PUNCT
ejpam-2610	177	15	+	+	NUM
ejpam-2610	177	16	au(t	au(t	NUM
ejpam-2610	177	17	)	)	PUNCT
ejpam-2610	177	18	=	=	SYM
ejpam-2610	177	19	f	f	PROPN
ejpam-2610	177	20	(	(	PUNCT
ejpam-2610	177	21	t	t	PROPN
ejpam-2610	177	22	)	)	PUNCT
ejpam-2610	177	23	,	,	PUNCT
ejpam-2610	177	24	0	0	NUM
ejpam-2610	177	25	<	<	X
ejpam-2610	177	26	t	t	X
ejpam-2610	177	27	<	<	X
ejpam-2610	177	28	t	t	PROPN
ejpam-2610	177	29	,	,	PUNCT
ejpam-2610	177	30	u(0	u(0	NOUN
ejpam-2610	177	31	)	)	PUNCT
ejpam-2610	177	32	=	=	SYM
ejpam-2610	177	33	u(t	u(t	PROPN
ejpam-2610	177	34	)	)	PUNCT
ejpam-2610	177	35	,	,	PUNCT
ejpam-2610	177	36	u′(0	u′(0	PROPN
ejpam-2610	177	37	)	)	PUNCT
ejpam-2610	177	38	=	=	SYM
ejpam-2610	177	39	u′(t	u′(t	X
ejpam-2610	177	40	)	)	PUNCT
ejpam-2610	177	41	(	(	PUNCT
ejpam-2610	177	42	19	19	NUM
ejpam-2610	177	43	)	)	PUNCT
ejpam-2610	177	44	in	in	ADP
ejpam-2610	177	45	a	a	DET
ejpam-2610	177	46	banach	banach	NOUN
ejpam-2610	177	47	space	space	NOUN
ejpam-2610	177	48	e	e	NOUN
ejpam-2610	177	49	with	with	ADP
ejpam-2610	177	50	positive	positive	ADJ
ejpam-2610	177	51	operator	operator	NOUN
ejpam-2610	177	52	a	a	DET
ejpam-2610	177	53	the	the	DET
ejpam-2610	177	54	coercive	coercive	ADJ
ejpam-2610	177	55	inequality	inequality	NOUN
ejpam-2610	177	56	‖u′′‖c([0,t],e′α	‖u′′‖c([0,t],e′α	ADJ
ejpam-2610	177	57	)	)	PUNCT
ejpam-2610	178	1	+	+	SYM
ejpam-2610	178	2	‖au‖c([0,t],e′α	‖au‖c([0,t],e′α	X
ejpam-2610	178	3	)	)	PUNCT
ejpam-2610	178	4	≤	≤	NOUN
ejpam-2610	178	5	m	m	VERB
ejpam-2610	178	6	α	α	NOUN
ejpam-2610	178	7	(	(	PUNCT
ejpam-2610	178	8	1−α)‖	1−α)‖	PROPN
ejpam-2610	178	9	f	f	PROPN
ejpam-2610	178	10	‖c([0,t],e′α	‖c([0,t],e′α	X
ejpam-2610	178	11	)	)	PUNCT
ejpam-2610	178	12	holds	hold	VERB
ejpam-2610	178	13	.	.	PUNCT
ejpam-2610	178	14	5	5	X
ejpam-2610	178	15	.	.	X
ejpam-2610	178	16	conclusion	conclusion	NOUN
ejpam-2610	178	17	in	in	ADP
ejpam-2610	178	18	the	the	DET
ejpam-2610	178	19	present	present	ADJ
ejpam-2610	178	20	article	article	NOUN
ejpam-2610	178	21	,	,	PUNCT
ejpam-2610	178	22	the	the	DET
ejpam-2610	178	23	structure	structure	NOUN
ejpam-2610	178	24	of	of	ADP
ejpam-2610	178	25	the	the	DET
ejpam-2610	178	26	fractional	fractional	ADJ
ejpam-2610	178	27	spaces	space	NOUN
ejpam-2610	178	28	eα(c(r+),a	eα(c(r+),a	PROPN
ejpam-2610	178	29	)	)	PUNCT
ejpam-2610	178	30	generated	generate	VERB
ejpam-2610	178	31	by	by	ADP
ejpam-2610	178	32	the	the	DET
ejpam-2610	178	33	one	one	NUM
ejpam-2610	178	34	-	-	PUNCT
ejpam-2610	178	35	dimensional	dimensional	ADJ
ejpam-2610	178	36	elliptic	elliptic	ADJ
ejpam-2610	178	37	differential	differential	NOUN
ejpam-2610	178	38	operator	operator	NOUN
ejpam-2610	178	39	a	a	PRON
ejpam-2610	178	40	is	be	AUX
ejpam-2610	178	41	investigated	investigate	VERB
ejpam-2610	178	42	.	.	PUNCT
ejpam-2610	179	1	the	the	DET
ejpam-2610	179	2	positivity	positivity	NOUN
ejpam-2610	179	3	of	of	ADP
ejpam-2610	179	4	this	this	DET
ejpam-2610	179	5	operator	operator	NOUN
ejpam-2610	179	6	a	a	PRON
ejpam-2610	179	7	in	in	ADP
ejpam-2610	179	8	banach	banach	NOUN
ejpam-2610	179	9	spaces	space	NOUN
ejpam-2610	179	10	is	be	AUX
ejpam-2610	179	11	established	establish	VERB
ejpam-2610	179	12	.	.	PUNCT
ejpam-2610	180	1	of	of	ADP
ejpam-2610	180	2	course	course	NOUN
ejpam-2610	180	3	,	,	PUNCT
ejpam-2610	180	4	the	the	DET
ejpam-2610	180	5	difference	difference	NOUN
ejpam-2610	180	6	operator	operator	NOUN
ejpam-2610	180	7	ah	ah	INTJ
ejpam-2610	180	8	approximates	approximate	VERB
ejpam-2610	180	9	to	to	ADP
ejpam-2610	180	10	the	the	DET
ejpam-2610	180	11	operator	operator	NOUN
ejpam-2610	180	12	a	a	PRON
ejpam-2610	180	13	can	can	AUX
ejpam-2610	180	14	be	be	AUX
ejpam-2610	180	15	presented	present	VERB
ejpam-2610	180	16	.	.	PUNCT
ejpam-2610	181	1	the	the	DET
ejpam-2610	181	2	positivity	positivity	NOUN
ejpam-2610	181	3	of	of	ADP
ejpam-2610	181	4	this	this	DET
ejpam-2610	181	5	operator	operator	NOUN
ejpam-2610	181	6	ah	ah	INTJ
ejpam-2610	181	7	in	in	ADP
ejpam-2610	181	8	banach	banach	NOUN
ejpam-2610	181	9	spaces	space	NOUN
ejpam-2610	181	10	can	can	AUX
ejpam-2610	181	11	be	be	AUX
ejpam-2610	181	12	established	establish	VERB
ejpam-2610	181	13	.	.	PUNCT
ejpam-2610	182	1	references	reference	NOUN
ejpam-2610	182	2	[	[	X
ejpam-2610	182	3	1	1	X
ejpam-2610	182	4	]	]	PUNCT
ejpam-2610	182	5	s.	s.	PROPN
ejpam-2610	182	6	agmon	agmon	PROPN
ejpam-2610	182	7	,	,	PUNCT
ejpam-2610	182	8	a.	a.	NOUN
ejpam-2610	182	9	douglis	douglis	PROPN
ejpam-2610	182	10	,	,	PUNCT
ejpam-2610	182	11	and	and	CCONJ
ejpam-2610	182	12	l.	l.	PROPN
ejpam-2610	182	13	nirenberg	nirenberg	PROPN
ejpam-2610	182	14	.	.	PUNCT
ejpam-2610	183	1	estimates	estimate	NOUN
ejpam-2610	183	2	near	near	ADP
ejpam-2610	183	3	the	the	DET
ejpam-2610	183	4	boundary	boundary	NOUN
ejpam-2610	183	5	for	for	ADP
ejpam-2610	183	6	solutions	solution	NOUN
ejpam-2610	183	7	of	of	ADP
ejpam-2610	183	8	elliptic	elliptic	ADJ
ejpam-2610	183	9	partial	partial	ADJ
ejpam-2610	183	10	differential	differential	ADJ
ejpam-2610	183	11	equations	equation	NOUN
ejpam-2610	183	12	satisfying	satisfy	VERB
ejpam-2610	183	13	general	general	ADJ
ejpam-2610	183	14	boundary	boundary	ADJ
ejpam-2610	183	15	conditions	conditions	PROPN
ejpam-2610	183	16	ii	ii	PROPN
ejpam-2610	183	17	,	,	PUNCT
ejpam-2610	183	18	communications	communication	NOUN
ejpam-2610	183	19	on	on	ADP
ejpam-2610	183	20	applied	applied	ADJ
ejpam-2610	183	21	mathematics	mathematic	NOUN
ejpam-2610	183	22	,	,	PUNCT
ejpam-2610	183	23	17	17	NUM
ejpam-2610	183	24	,	,	PUNCT
ejpam-2610	183	25	35	35	NUM
ejpam-2610	183	26	-	-	SYM
ejpam-2610	183	27	92	92	NUM
ejpam-2610	183	28	.	.	PUNCT
ejpam-2610	183	29	1964	1964	NUM
ejpam-2610	183	30	.	.	PUNCT
ejpam-2610	184	1	[	[	X
ejpam-2610	184	2	2	2	X
ejpam-2610	184	3	]	]	PUNCT
ejpam-2610	184	4	s.	s.	PROPN
ejpam-2610	184	5	agmon	agmon	PROPN
ejpam-2610	184	6	.	.	PUNCT
ejpam-2610	185	1	lectures	lecture	NOUN
ejpam-2610	185	2	on	on	ADP
ejpam-2610	185	3	elliptic	elliptic	ADJ
ejpam-2610	185	4	boundary	boundary	ADJ
ejpam-2610	185	5	value	value	NOUN
ejpam-2610	185	6	problems	problem	NOUN
ejpam-2610	185	7	,	,	PUNCT
ejpam-2610	185	8	d.	d.	PROPN
ejpam-2610	185	9	van	van	PROPN
ejpam-2610	185	10	nostrand	nostrand	PROPN
ejpam-2610	185	11	,	,	PUNCT
ejpam-2610	185	12	princeton	princeton	PROPN
ejpam-2610	185	13	,	,	PUNCT
ejpam-2610	185	14	new	new	PROPN
ejpam-2610	185	15	jersey	jersey	PROPN
ejpam-2610	185	16	,	,	PUNCT
ejpam-2610	185	17	1965	1965	NUM
ejpam-2610	185	18	.	.	PUNCT
ejpam-2610	186	1	[	[	X
ejpam-2610	186	2	3	3	X
ejpam-2610	186	3	]	]	X
ejpam-2610	186	4	kh.a	kh.a	PROPN
ejpam-2610	186	5	.	.	PUNCT
ejpam-2610	186	6	alibekov	alibekov	PROPN
ejpam-2610	186	7	.	.	PUNCT
ejpam-2610	187	1	investigations	investigation	NOUN
ejpam-2610	187	2	in	in	ADP
ejpam-2610	187	3	c	c	PROPN
ejpam-2610	187	4	and	and	CCONJ
ejpam-2610	187	5	lp	lp	NOUN
ejpam-2610	187	6	of	of	ADP
ejpam-2610	187	7	difference	difference	NOUN
ejpam-2610	187	8	schemes	scheme	NOUN
ejpam-2610	187	9	of	of	ADP
ejpam-2610	187	10	high	high	ADJ
ejpam-2610	187	11	order	order	NOUN
ejpam-2610	187	12	accuracy	accuracy	NOUN
ejpam-2610	187	13	for	for	ADP
ejpam-2610	187	14	apporoximate	apporoximate	ADJ
ejpam-2610	187	15	solutions	solution	NOUN
ejpam-2610	187	16	of	of	ADP
ejpam-2610	187	17	multidimensional	multidimensional	ADJ
ejpam-2610	187	18	parabolic	parabolic	PROPN
ejpam-2610	187	19	boundary	boundary	ADJ
ejpam-2610	187	20	value	value	NOUN
ejpam-2610	187	21	problems	problem	NOUN
ejpam-2610	187	22	,	,	PUNCT
ejpam-2610	187	23	dissertation	dissertation	NOUN
ejpam-2610	187	24	,	,	PUNCT
ejpam-2610	187	25	voronezh	voronezh	PROPN
ejpam-2610	187	26	state	state	PROPN
ejpam-2610	187	27	university	university	PROPN
ejpam-2610	187	28	,	,	PUNCT
ejpam-2610	187	29	voronezh	voronezh	NOUN
ejpam-2610	187	30	,	,	PUNCT
ejpam-2610	187	31	1978	1978	NUM
ejpam-2610	187	32	.	.	PUNCT
ejpam-2610	188	1	[	[	X
ejpam-2610	188	2	4	4	NUM
ejpam-2610	188	3	]	]	PUNCT
ejpam-2610	188	4	a.	a.	NOUN
ejpam-2610	188	5	ashyralyev	ashyralyev	NOUN
ejpam-2610	188	6	and	and	CCONJ
ejpam-2610	188	7	p.e	p.e	PROPN
ejpam-2610	188	8	.	.	PROPN
ejpam-2610	188	9	sobolevskii	sobolevskii	PROPN
ejpam-2610	188	10	.	.	PUNCT
ejpam-2610	189	1	the	the	DET
ejpam-2610	189	2	linear	linear	ADJ
ejpam-2610	189	3	operator	operator	NOUN
ejpam-2610	189	4	interpolation	interpolation	NOUN
ejpam-2610	189	5	theory	theory	NOUN
ejpam-2610	189	6	and	and	CCONJ
ejpam-2610	189	7	the	the	DET
ejpam-2610	189	8	stability	stability	NOUN
ejpam-2610	189	9	of	of	ADP
ejpam-2610	189	10	the	the	DET
ejpam-2610	189	11	difference	difference	NOUN
ejpam-2610	189	12	schemes	scheme	NOUN
ejpam-2610	189	13	,	,	PUNCT
ejpam-2610	189	14	doklady	doklady	NOUN
ejpam-2610	189	15	akademii	akademii	NOUN
ejpam-2610	189	16	nauk	nauk	NOUN
ejpam-2610	189	17	sssr	sssr	NOUN
ejpam-2610	189	18	,	,	PUNCT
ejpam-2610	189	19	275(6	275(6	NUM
ejpam-2610	189	20	)	)	PUNCT
ejpam-2610	189	21	,	,	PUNCT
ejpam-2610	189	22	1289	1289	NUM
ejpam-2610	189	23	-	-	SYM
ejpam-2610	189	24	1291	1291	NUM
ejpam-2610	189	25	.	.	PUNCT
ejpam-2610	189	26	1984	1984	NUM
ejpam-2610	189	27	.	.	PUNCT
ejpam-2610	190	1	[	[	X
ejpam-2610	190	2	5	5	NUM
ejpam-2610	190	3	]	]	PUNCT
ejpam-2610	190	4	a.	a.	NOUN
ejpam-2610	190	5	ashyralyev	ashyralyev	NOUN
ejpam-2610	190	6	.	.	PUNCT
ejpam-2610	191	1	method	method	NOUN
ejpam-2610	191	2	of	of	ADP
ejpam-2610	191	3	positive	positive	ADJ
ejpam-2610	191	4	operators	operator	NOUN
ejpam-2610	191	5	of	of	ADP
ejpam-2610	191	6	investigations	investigation	NOUN
ejpam-2610	191	7	of	of	ADP
ejpam-2610	191	8	the	the	DET
ejpam-2610	191	9	high	high	ADJ
ejpam-2610	191	10	order	order	NOUN
ejpam-2610	191	11	of	of	ADP
ejpam-2610	191	12	accuracy	accuracy	NOUN
ejpam-2610	191	13	difference	difference	NOUN
ejpam-2610	191	14	schemes	scheme	NOUN
ejpam-2610	191	15	for	for	ADP
ejpam-2610	191	16	parabolic	parabolic	ADJ
ejpam-2610	191	17	and	and	CCONJ
ejpam-2610	191	18	elliptic	elliptic	ADJ
ejpam-2610	191	19	equations	equation	NOUN
ejpam-2610	191	20	,	,	PUNCT
ejpam-2610	191	21	dissertation	dissertation	NOUN
ejpam-2610	191	22	,	,	PUNCT
ejpam-2610	191	23	institute	institute	NOUN
ejpam-2610	191	24	of	of	ADP
ejpam-2610	191	25	mathematics	mathematics	PROPN
ejpam-2610	191	26	of	of	ADP
ejpam-2610	191	27	the	the	DET
ejpam-2610	191	28	national	national	PROPN
ejpam-2610	191	29	academy	academy	PROPN
ejpam-2610	191	30	of	of	ADP
ejpam-2610	191	31	sciences	sciences	PROPN
ejpam-2610	191	32	,	,	PUNCT
ejpam-2610	191	33	kiev	kiev	PROPN
ejpam-2610	191	34	.	.	PROPN
ejpam-2610	191	35	1991	1991	NUM
ejpam-2610	191	36	.	.	PUNCT
ejpam-2610	192	1	[	[	X
ejpam-2610	192	2	6	6	NUM
ejpam-2610	192	3	]	]	PUNCT
ejpam-2610	192	4	a.	a.	NOUN
ejpam-2610	192	5	ashyralyev	ashyralyev	NOUN
ejpam-2610	192	6	and	and	CCONJ
ejpam-2610	192	7	p.e	p.e	PROPN
ejpam-2610	192	8	.	.	PROPN
ejpam-2610	192	9	sobolevskii	sobolevskii	PROPN
ejpam-2610	192	10	.	.	PUNCT
ejpam-2610	193	1	well	well	ADJ
ejpam-2610	193	2	-	-	PUNCT
ejpam-2610	193	3	posedness	posedness	NOUN
ejpam-2610	193	4	of	of	ADP
ejpam-2610	193	5	parabolic	parabolic	ADJ
ejpam-2610	193	6	difference	difference	NOUN
ejpam-2610	193	7	equations	equation	NOUN
ejpam-2610	193	8	,	,	PUNCT
ejpam-2610	193	9	birkhäuser	birkhäuser	ADJ
ejpam-2610	193	10	verlag	verlag	PROPN
ejpam-2610	193	11	,	,	PUNCT
ejpam-2610	193	12	basel	basel	PROPN
ejpam-2610	193	13	,	,	PUNCT
ejpam-2610	193	14	boston	boston	PROPN
ejpam-2610	193	15	,	,	PUNCT
ejpam-2610	193	16	berlin	berlin	PROPN
ejpam-2610	193	17	,	,	PUNCT
ejpam-2610	193	18	1994	1994	NUM
ejpam-2610	193	19	.	.	PUNCT
ejpam-2610	194	1	[	[	X
ejpam-2610	194	2	7	7	NUM
ejpam-2610	194	3	]	]	PUNCT
ejpam-2610	194	4	a.	a.	NOUN
ejpam-2610	194	5	ashyralyev	ashyralyev	NOUN
ejpam-2610	194	6	.	.	PUNCT
ejpam-2610	195	1	on	on	ADP
ejpam-2610	195	2	well	well	ADV
ejpam-2610	195	3	-	-	PUNCT
ejpam-2610	195	4	posedness	posedness	NOUN
ejpam-2610	195	5	of	of	ADP
ejpam-2610	195	6	the	the	DET
ejpam-2610	195	7	nonlocal	nonlocal	ADJ
ejpam-2610	195	8	boundary	boundary	ADJ
ejpam-2610	195	9	value	value	NOUN
ejpam-2610	195	10	problem	problem	NOUN
ejpam-2610	195	11	for	for	ADP
ejpam-2610	195	12	elliptic	elliptic	ADJ
ejpam-2610	195	13	equations	equation	NOUN
ejpam-2610	195	14	,	,	PUNCT
ejpam-2610	195	15	numerical	numerical	ADJ
ejpam-2610	195	16	functional	functional	ADJ
ejpam-2610	195	17	analysis	analysis	NOUN
ejpam-2610	195	18	and	and	CCONJ
ejpam-2610	195	19	optimization	optimization	NOUN
ejpam-2610	195	20	,	,	PUNCT
ejpam-2610	195	21	24(1	24(1	NOUN
ejpam-2610	195	22	-	-	SYM
ejpam-2610	195	23	2	2	NUM
ejpam-2610	195	24	)	)	PUNCT
ejpam-2610	195	25	,	,	PUNCT
ejpam-2610	195	26	1	1	NUM
ejpam-2610	195	27	-	-	SYM
ejpam-2610	195	28	15	15	NUM
ejpam-2610	195	29	.	.	PUNCT
ejpam-2610	195	30	2003	2003	NUM
ejpam-2610	195	31	.	.	PUNCT
ejpam-2610	196	1	references	reference	NOUN
ejpam-2610	196	2	173	173	NUM
ejpam-2610	197	1	[	[	X
ejpam-2610	197	2	8	8	NUM
ejpam-2610	197	3	]	]	PUNCT
ejpam-2610	197	4	a.	a.	NOUN
ejpam-2610	197	5	ashyralyev	ashyralyev	NOUN
ejpam-2610	197	6	and	and	CCONJ
ejpam-2610	197	7	p.e	p.e	PROPN
ejpam-2610	197	8	.	.	PROPN
ejpam-2610	197	9	sobolevskii	sobolevskii	PROPN
ejpam-2610	197	10	.	.	PUNCT
ejpam-2610	198	1	new	new	ADJ
ejpam-2610	198	2	difference	difference	NOUN
ejpam-2610	198	3	schemes	scheme	NOUN
ejpam-2610	198	4	for	for	ADP
ejpam-2610	198	5	partial	partial	ADJ
ejpam-2610	198	6	differential	differential	ADJ
ejpam-2610	198	7	equations	equation	NOUN
ejpam-2610	198	8	,	,	PUNCT
ejpam-2610	198	9	birkhäuser	birkhäuser	ADJ
ejpam-2610	198	10	verlag	verlag	PROPN
ejpam-2610	198	11	,	,	PUNCT
ejpam-2610	198	12	basel	basel	PROPN
ejpam-2610	198	13	,	,	PUNCT
ejpam-2610	198	14	boston	boston	PROPN
ejpam-2610	198	15	,	,	PUNCT
ejpam-2610	198	16	berlin	berlin	PROPN
ejpam-2610	198	17	,	,	PUNCT
ejpam-2610	198	18	2004	2004	NUM
ejpam-2610	198	19	.	.	PUNCT
ejpam-2610	199	1	[	[	X
ejpam-2610	199	2	9	9	NUM
ejpam-2610	199	3	]	]	PUNCT
ejpam-2610	199	4	a.	a.	NOUN
ejpam-2610	199	5	ashyralyev	ashyralyev	PROPN
ejpam-2610	199	6	,	,	PUNCT
ejpam-2610	199	7	s.	s.	PROPN
ejpam-2610	199	8	akturk	akturk	PROPN
ejpam-2610	199	9	and	and	CCONJ
ejpam-2610	199	10	y.	y.	PROPN
ejpam-2610	199	11	sozen	sozen	PROPN
ejpam-2610	199	12	.	.	PUNCT
ejpam-2610	200	1	the	the	DET
ejpam-2610	200	2	structure	structure	NOUN
ejpam-2610	200	3	of	of	ADP
ejpam-2610	200	4	fractional	fractional	ADJ
ejpam-2610	200	5	spaces	space	NOUN
ejpam-2610	200	6	generated	generate	VERB
ejpam-2610	200	7	by	by	ADP
ejpam-2610	200	8	a	a	DET
ejpam-2610	200	9	twodimensional	twodimensional	ADJ
ejpam-2610	200	10	elliptic	elliptic	ADJ
ejpam-2610	200	11	differential	differential	NOUN
ejpam-2610	200	12	operator	operator	NOUN
ejpam-2610	200	13	and	and	CCONJ
ejpam-2610	200	14	its	its	PRON
ejpam-2610	200	15	applications	application	NOUN
ejpam-2610	200	16	,	,	PUNCT
ejpam-2610	200	17	boundary	boundary	ADJ
ejpam-2610	200	18	value	value	NOUN
ejpam-2610	200	19	problems	problem	NOUN
ejpam-2610	200	20	,	,	PUNCT
ejpam-2610	200	21	2014(3	2014(3	NUM
ejpam-2610	200	22	)	)	PUNCT
ejpam-2610	200	23	,	,	PUNCT
ejpam-2610	200	24	pages	page	NOUN
ejpam-2610	200	25	17	17	NUM
ejpam-2610	200	26	.	.	PUNCT
ejpam-2610	200	27	2014	2014	NUM
ejpam-2610	200	28	.	.	PUNCT
ejpam-2610	201	1	[	[	X
ejpam-2610	201	2	10	10	NUM
ejpam-2610	201	3	]	]	X
ejpam-2610	201	4	a.	a.	NOUN
ejpam-2610	201	5	ashyralyev	ashyralyev	NOUN
ejpam-2610	201	6	and	and	CCONJ
ejpam-2610	201	7	d.	d.	PROPN
ejpam-2610	201	8	agirseven	agirseven	VERB
ejpam-2610	201	9	.	.	PUNCT
ejpam-2610	202	1	well	well	ADV
ejpam-2610	202	2	-	-	PUNCT
ejpam-2610	202	3	posedness	posedness	NOUN
ejpam-2610	202	4	of	of	ADP
ejpam-2610	202	5	delay	delay	NOUN
ejpam-2610	202	6	parabolic	parabolic	ADJ
ejpam-2610	202	7	difference	difference	NOUN
ejpam-2610	202	8	equations	equation	NOUN
ejpam-2610	202	9	,	,	PUNCT
ejpam-2610	202	10	advances	advance	NOUN
ejpam-2610	202	11	in	in	ADP
ejpam-2610	202	12	difference	difference	NOUN
ejpam-2610	202	13	equations	equation	NOUN
ejpam-2610	202	14	,	,	PUNCT
ejpam-2610	202	15	2014(18	2014(18	NUM
ejpam-2610	202	16	)	)	PUNCT
ejpam-2610	202	17	,	,	PUNCT
ejpam-2610	202	18	2014	2014	NUM
ejpam-2610	202	19	.	.	PUNCT
ejpam-2610	203	1	[	[	X
ejpam-2610	203	2	11	11	NUM
ejpam-2610	203	3	]	]	PUNCT
ejpam-2610	203	4	a.	a.	NOUN
ejpam-2610	203	5	ashyralyev	ashyralyev	PROPN
ejpam-2610	203	6	,	,	PUNCT
ejpam-2610	203	7	n.	n.	PROPN
ejpam-2610	203	8	nalbant	nalbant	PROPN
ejpam-2610	203	9	and	and	CCONJ
ejpam-2610	203	10	y.	y.	PROPN
ejpam-2610	203	11	sozen	sozen	PROPN
ejpam-2610	203	12	.	.	PUNCT
ejpam-2610	203	13	structure	structure	NOUN
ejpam-2610	203	14	of	of	ADP
ejpam-2610	203	15	fractional	fractional	ADJ
ejpam-2610	203	16	spaces	space	NOUN
ejpam-2610	203	17	generated	generate	VERB
ejpam-2610	203	18	by	by	ADP
ejpam-2610	203	19	second	second	ADJ
ejpam-2610	203	20	order	order	NOUN
ejpam-2610	203	21	difference	difference	NOUN
ejpam-2610	203	22	operators	operator	NOUN
ejpam-2610	203	23	,	,	PUNCT
ejpam-2610	203	24	journal	journal	NOUN
ejpam-2610	203	25	of	of	ADP
ejpam-2610	203	26	the	the	DET
ejpam-2610	203	27	franklin	franklin	PROPN
ejpam-2610	203	28	institute	institute	PROPN
ejpam-2610	203	29	,	,	PUNCT
ejpam-2610	203	30	351(2	351(2	NUM
ejpam-2610	203	31	)	)	PUNCT
ejpam-2610	203	32	,	,	PUNCT
ejpam-2610	203	33	713	713	NUM
ejpam-2610	203	34	-	-	SYM
ejpam-2610	203	35	731	731	NUM
ejpam-2610	203	36	.	.	PUNCT
ejpam-2610	203	37	2014	2014	NUM
ejpam-2610	203	38	.	.	PUNCT
ejpam-2610	204	1	[	[	X
ejpam-2610	204	2	12	12	NUM
ejpam-2610	204	3	]	]	PUNCT
ejpam-2610	204	4	a.	a.	NOUN
ejpam-2610	204	5	ashyralyev	ashyralyev	NOUN
ejpam-2610	204	6	and	and	CCONJ
ejpam-2610	204	7	s.	s.	PROPN
ejpam-2610	204	8	akturk	akturk	PROPN
ejpam-2610	204	9	.	.	PUNCT
ejpam-2610	205	1	fractional	fractional	ADJ
ejpam-2610	205	2	spaces	space	NOUN
ejpam-2610	205	3	generated	generate	VERB
ejpam-2610	205	4	by	by	ADP
ejpam-2610	205	5	the	the	DET
ejpam-2610	205	6	positive	positive	ADJ
ejpam-2610	205	7	differential	differential	NOUN
ejpam-2610	205	8	operator	operator	NOUN
ejpam-2610	205	9	in	in	ADP
ejpam-2610	205	10	the	the	DET
ejpam-2610	205	11	half	half	ADJ
ejpam-2610	205	12	-	-	PUNCT
ejpam-2610	205	13	line	line	NOUN
ejpam-2610	205	14	r+	r+	NOUN
ejpam-2610	205	15	and	and	CCONJ
ejpam-2610	205	16	their	their	PRON
ejpam-2610	205	17	applications	application	NOUN
ejpam-2610	205	18	,	,	PUNCT
ejpam-2610	205	19	aip	aip	PROPN
ejpam-2610	205	20	conference	conference	NOUN
ejpam-2610	205	21	proceedings	proceeding	NOUN
ejpam-2610	205	22	,	,	PUNCT
ejpam-2610	205	23	icaam	icaam	NOUN
ejpam-2610	205	24	2014	2014	NUM
ejpam-2610	205	25	,	,	PUNCT
ejpam-2610	205	26	1611	1611	NUM
ejpam-2610	205	27	,	,	PUNCT
ejpam-2610	205	28	211	211	NUM
ejpam-2610	205	29	-	-	SYM
ejpam-2610	205	30	215	215	NUM
ejpam-2610	205	31	.	.	NUM
ejpam-2610	205	32	2014	2014	NUM
ejpam-2610	205	33	.	.	PUNCT
ejpam-2610	206	1	[	[	X
ejpam-2610	206	2	13	13	NUM
ejpam-2610	206	3	]	]	PUNCT
ejpam-2610	206	4	a.	a.	NOUN
ejpam-2610	206	5	ashyralyev	ashyralyev	NOUN
ejpam-2610	206	6	and	and	CCONJ
ejpam-2610	206	7	f.s	f.s	PROPN
ejpam-2610	206	8	.	.	PROPN
ejpam-2610	206	9	tetikoğlu	tetikoğlu	PROPN
ejpam-2610	206	10	.	.	PUNCT
ejpam-2610	207	1	a	a	DET
ejpam-2610	207	2	note	note	NOUN
ejpam-2610	207	3	on	on	ADP
ejpam-2610	207	4	fractional	fractional	ADJ
ejpam-2610	207	5	spaces	space	NOUN
ejpam-2610	207	6	generated	generate	VERB
ejpam-2610	207	7	by	by	ADP
ejpam-2610	207	8	the	the	DET
ejpam-2610	207	9	positive	positive	ADJ
ejpam-2610	207	10	operator	operator	NOUN
ejpam-2610	207	11	with	with	ADP
ejpam-2610	207	12	periodic	periodic	ADJ
ejpam-2610	207	13	conditions	condition	NOUN
ejpam-2610	207	14	and	and	CCONJ
ejpam-2610	207	15	applications	application	NOUN
ejpam-2610	207	16	,	,	PUNCT
ejpam-2610	207	17	boundary	boundary	ADJ
ejpam-2610	207	18	value	value	NOUN
ejpam-2610	207	19	problems	problem	NOUN
ejpam-2610	207	20	,	,	PUNCT
ejpam-2610	207	21	2015(31	2015(31	NUM
ejpam-2610	207	22	)	)	PUNCT
ejpam-2610	207	23	,	,	PUNCT
ejpam-2610	207	24	doi:10.1186	doi:10.1186	NOUN
ejpam-2610	207	25	/	/	SYM
ejpam-2610	207	26	s13661	s13661	NOUN
ejpam-2610	207	27	-	-	PUNCT
ejpam-2610	207	28	015	015	NUM
ejpam-2610	207	29	-	-	PUNCT
ejpam-2610	207	30	0293	0293	NUM
ejpam-2610	207	31	-	-	SYM
ejpam-2610	207	32	9	9	NUM
ejpam-2610	207	33	.	.	NOUN
ejpam-2610	207	34	2015	2015	NUM
ejpam-2610	207	35	.	.	PUNCT
ejpam-2610	208	1	[	[	X
ejpam-2610	208	2	14	14	NUM
ejpam-2610	208	3	]	]	X
ejpam-2610	208	4	s.	s.	PROPN
ejpam-2610	208	5	i.	i.	PROPN
ejpam-2610	208	6	danelich	danelich	PROPN
ejpam-2610	208	7	.	.	PUNCT
ejpam-2610	209	1	positive	positive	ADJ
ejpam-2610	209	2	difference	difference	NOUN
ejpam-2610	209	3	operators	operator	NOUN
ejpam-2610	209	4	in	in	ADP
ejpam-2610	209	5	rh1(russian	rh1(russian	PROPN
ejpam-2610	209	6	)	)	PUNCT
ejpam-2610	209	7	,	,	PUNCT
ejpam-2610	209	8	voronezh	voronezh	PROPN
ejpam-2610	209	9	gosud	gosud	PROPN
ejpam-2610	209	10	university	university	PROPN
ejpam-2610	209	11	,	,	PUNCT
ejpam-2610	209	12	deposited	deposit	VERB
ejpam-2610	209	13	viniti	viniti	NOUN
ejpam-2610	209	14	3(18	3(18	NUM
ejpam-2610	209	15	)	)	PUNCT
ejpam-2610	209	16	,	,	PUNCT
ejpam-2610	209	17	1936	1936	NUM
ejpam-2610	209	18	-	-	PUNCT
ejpam-2610	209	19	b87	b87	NOUN
ejpam-2610	209	20	,	,	PUNCT
ejpam-2610	209	21	pages	page	NOUN
ejpam-2610	209	22	13	13	NUM
ejpam-2610	209	23	.	.	PUNCT
ejpam-2610	209	24	1987	1987	NUM
ejpam-2610	209	25	.	.	PUNCT
ejpam-2610	210	1	[	[	X
ejpam-2610	210	2	15	15	NUM
ejpam-2610	210	3	]	]	X
ejpam-2610	210	4	s.i	s.i	PROPN
ejpam-2610	210	5	.	.	PROPN
ejpam-2610	210	6	danelich	danelich	PROPN
ejpam-2610	210	7	.	.	PUNCT
ejpam-2610	211	1	fractional	fractional	ADJ
ejpam-2610	211	2	powers	power	NOUN
ejpam-2610	211	3	of	of	ADP
ejpam-2610	211	4	positive	positive	ADJ
ejpam-2610	211	5	difference	difference	NOUN
ejpam-2610	211	6	operators	operator	NOUN
ejpam-2610	211	7	,	,	PUNCT
ejpam-2610	211	8	dissertation	dissertation	NOUN
ejpam-2610	211	9	,	,	PUNCT
ejpam-2610	211	10	voronezh	voronezh	PROPN
ejpam-2610	211	11	state	state	PROPN
ejpam-2610	211	12	university	university	PROPN
ejpam-2610	211	13	,	,	PUNCT
ejpam-2610	211	14	voronezh	voronezh	NOUN
ejpam-2610	211	15	,	,	PUNCT
ejpam-2610	211	16	1989	1989	NUM
ejpam-2610	211	17	.	.	PUNCT
ejpam-2610	212	1	[	[	X
ejpam-2610	212	2	16	16	X
ejpam-2610	212	3	]	]	X
ejpam-2610	212	4	v.	v.	CCONJ
ejpam-2610	212	5	shakhmurov	shakhmurov	NOUN
ejpam-2610	212	6	.	.	PUNCT
ejpam-2610	213	1	abstract	abstract	ADJ
ejpam-2610	213	2	differential	differential	ADJ
ejpam-2610	213	3	equations	equation	NOUN
ejpam-2610	213	4	with	with	ADP
ejpam-2610	213	5	vmo	vmo	PROPN
ejpam-2610	213	6	coefficients	coefficient	NOUN
ejpam-2610	213	7	in	in	ADP
ejpam-2610	213	8	half	half	ADJ
ejpam-2610	213	9	space	space	NOUN
ejpam-2610	213	10	and	and	CCONJ
ejpam-2610	213	11	applications	application	NOUN
ejpam-2610	213	12	,	,	PUNCT
ejpam-2610	213	13	mediterranean	mediterranean	PROPN
ejpam-2610	213	14	journal	journal	PROPN
ejpam-2610	213	15	of	of	ADP
ejpam-2610	213	16	mathematics	mathematic	NOUN
ejpam-2610	213	17	,	,	PUNCT
ejpam-2610	213	18	doi	doi	X
ejpam-2610	213	19	10.1007	10.1007	NUM
ejpam-2610	213	20	/	/	SYM
ejpam-2610	213	21	s00009	s00009	NOUN
ejpam-2610	213	22	-	-	PUNCT
ejpam-2610	213	23	015	015	NUM
ejpam-2610	213	24	-	-	PUNCT
ejpam-2610	213	25	0599	0599	NUM
ejpam-2610	213	26	-	-	PUNCT
ejpam-2610	213	27	y	y	PROPN
ejpam-2610	213	28	,	,	PUNCT
ejpam-2610	213	29	springer	springer	NOUN
ejpam-2610	213	30	basel	basel	PROPN
ejpam-2610	213	31	,	,	PUNCT
ejpam-2610	213	32	2015	2015	NUM
ejpam-2610	213	33	.	.	PUNCT
ejpam-2610	214	1	[	[	X
ejpam-2610	214	2	17	17	NUM
ejpam-2610	214	3	]	]	X
ejpam-2610	214	4	yu	yu	PROPN
ejpam-2610	214	5	.	.	PUNCT
ejpam-2610	214	6	a.	a.	PROPN
ejpam-2610	214	7	simirnitskii	simirnitskii	PROPN
ejpam-2610	214	8	.	.	PUNCT
ejpam-2610	215	1	positivity	positivity	NOUN
ejpam-2610	215	2	of	of	ADP
ejpam-2610	215	3	difference	difference	NOUN
ejpam-2610	215	4	elliptic	elliptic	ADJ
ejpam-2610	215	5	operators(russian	operators(russian	PROPN
ejpam-2610	215	6	)	)	PUNCT
ejpam-2610	215	7	,	,	PUNCT
ejpam-2610	215	8	phd	phd	NOUN
ejpam-2610	215	9	thesis	thesis	NOUN
ejpam-2610	215	10	,	,	PUNCT
ejpam-2610	215	11	voronezh	voronezh	PROPN
ejpam-2610	215	12	state	state	PROPN
ejpam-2610	215	13	university	university	PROPN
ejpam-2610	215	14	,	,	PUNCT
ejpam-2610	215	15	voronezh	voronezh	NOUN
ejpam-2610	215	16	,	,	PUNCT
ejpam-2610	215	17	1983	1983	NUM
ejpam-2610	215	18	.	.	PUNCT
ejpam-2610	216	1	[	[	X
ejpam-2610	216	2	18	18	NUM
ejpam-2610	216	3	]	]	X
ejpam-2610	216	4	p.e	p.e	PROPN
ejpam-2610	216	5	.	.	PROPN
ejpam-2610	216	6	sobolevskii	sobolevskii	PROPN
ejpam-2610	216	7	.	.	PUNCT
ejpam-2610	217	1	the	the	DET
ejpam-2610	217	2	coercive	coercive	ADJ
ejpam-2610	217	3	solvability	solvability	NOUN
ejpam-2610	217	4	of	of	ADP
ejpam-2610	217	5	difference	difference	NOUN
ejpam-2610	217	6	equations	equation	NOUN
ejpam-2610	217	7	,	,	PUNCT
ejpam-2610	217	8	doklady	doklady	NOUN
ejpam-2610	217	9	akademii	akademii	NOUN
ejpam-2610	217	10	nauk	nauk	NOUN
ejpam-2610	217	11	sssr	sssr	NOUN
ejpam-2610	217	12	,	,	PUNCT
ejpam-2610	217	13	201(5	201(5	NUM
ejpam-2610	217	14	)	)	PUNCT
ejpam-2610	217	15	,	,	PUNCT
ejpam-2610	217	16	1063	1063	NUM
ejpam-2610	217	17	-	-	SYM
ejpam-2610	217	18	1066	1066	NUM
ejpam-2610	217	19	.	.	PUNCT
ejpam-2610	218	1	1971	1971	NUM
ejpam-2610	218	2	.	.	PUNCT
ejpam-2610	219	1	[	[	X
ejpam-2610	219	2	19	19	NUM
ejpam-2610	219	3	]	]	PUNCT
ejpam-2610	219	4	p.	p.	PROPN
ejpam-2610	219	5	e.	e.	PROPN
ejpam-2610	219	6	sobolevskii	sobolevskii	PROPN
ejpam-2610	219	7	.	.	PUNCT
ejpam-2610	220	1	well	well	ADV
ejpam-2610	220	2	-	-	PUNCT
ejpam-2610	220	3	posedness	posedness	NOUN
ejpam-2610	220	4	of	of	ADP
ejpam-2610	220	5	difference	difference	NOUN
ejpam-2610	220	6	elliptic	elliptic	ADJ
ejpam-2610	220	7	equation	equation	NOUN
ejpam-2610	220	8	,	,	PUNCT
ejpam-2610	220	9	discrete	discrete	ADJ
ejpam-2610	220	10	dynamics	dynamic	NOUN
ejpam-2610	220	11	in	in	ADP
ejpam-2610	220	12	nature	nature	NOUN
ejpam-2610	220	13	and	and	CCONJ
ejpam-2610	220	14	society	society	NOUN
ejpam-2610	220	15	,	,	PUNCT
ejpam-2610	220	16	1(3	1(3	NUM
ejpam-2610	220	17	)	)	PUNCT
ejpam-2610	220	18	,	,	PUNCT
ejpam-2610	220	19	219	219	NUM
ejpam-2610	220	20	-	-	SYM
ejpam-2610	220	21	231	231	NUM
ejpam-2610	220	22	.	.	PUNCT
ejpam-2610	220	23	1997	1997	NUM
ejpam-2610	220	24	.	.	PUNCT
ejpam-2610	221	1	[	[	X
ejpam-2610	221	2	20	20	NUM
ejpam-2610	221	3	]	]	PUNCT
ejpam-2610	221	4	p.	p.	PROPN
ejpam-2610	221	5	e.	e.	PROPN
ejpam-2610	221	6	sobolevskii	sobolevskii	PROPN
ejpam-2610	221	7	.	.	PUNCT
ejpam-2610	222	1	a	a	DET
ejpam-2610	222	2	new	new	ADJ
ejpam-2610	222	3	method	method	NOUN
ejpam-2610	222	4	of	of	ADP
ejpam-2610	222	5	summation	summation	NOUN
ejpam-2610	222	6	of	of	ADP
ejpam-2610	222	7	fourier	fourier	ADJ
ejpam-2610	222	8	series	series	NOUN
ejpam-2610	222	9	converging	converge	VERB
ejpam-2610	222	10	in	in	ADP
ejpam-2610	222	11	c	c	NOUN
ejpam-2610	222	12	-	-	PUNCT
ejpam-2610	222	13	norm	norm	NOUN
ejpam-2610	222	14	,	,	PUNCT
ejpam-2610	222	15	semigroup	semigroup	PROPN
ejpam-2610	222	16	forum	forum	PROPN
ejpam-2610	222	17	,	,	PUNCT
ejpam-2610	222	18	71	71	NUM
ejpam-2610	222	19	,	,	PUNCT
ejpam-2610	222	20	289	289	NUM
ejpam-2610	222	21	-	-	SYM
ejpam-2610	222	22	300	300	NUM
ejpam-2610	222	23	.	.	NUM
ejpam-2610	222	24	2005	2005	NUM
ejpam-2610	222	25	.	.	PUNCT
ejpam-2610	223	1	[	[	X
ejpam-2610	223	2	21	21	NUM
ejpam-2610	223	3	]	]	X
ejpam-2610	223	4	m.z	m.z	PROPN
ejpam-2610	223	5	.	.	PROPN
ejpam-2610	223	6	solomyak	solomyak	PROPN
ejpam-2610	223	7	.	.	PUNCT
ejpam-2610	224	1	analytic	analytic	ADJ
ejpam-2610	224	2	semigroups	semigroup	NOUN
ejpam-2610	224	3	generated	generate	VERB
ejpam-2610	224	4	by	by	ADP
ejpam-2610	224	5	elliptic	elliptic	ADJ
ejpam-2610	224	6	operator	operator	NOUN
ejpam-2610	224	7	in	in	ADP
ejpam-2610	224	8	spaces	space	NOUN
ejpam-2610	224	9	lp	lp	PROPN
ejpam-2610	224	10	,	,	PUNCT
ejpam-2610	224	11	doklady	doklady	ADV
ejpam-2610	224	12	akademii	akademii	NOUN
ejpam-2610	224	13	nauk	nauk	NOUN
ejpam-2610	224	14	sssr	sssr	NOUN
ejpam-2610	224	15	,	,	PUNCT
ejpam-2610	224	16	127(1	127(1	NUM
ejpam-2610	224	17	)	)	PUNCT
ejpam-2610	224	18	,	,	PUNCT
ejpam-2610	224	19	37	37	NUM
ejpam-2610	224	20	-	-	SYM
ejpam-2610	224	21	39	39	NUM
ejpam-2610	224	22	.	.	PUNCT
ejpam-2610	224	23	1959	1959	NUM
ejpam-2610	225	1	[	[	X
ejpam-2610	225	2	22	22	NUM
ejpam-2610	225	3	]	]	X
ejpam-2610	225	4	m.z	m.z	PROPN
ejpam-2610	225	5	.	.	PROPN
ejpam-2610	225	6	solomyak	solomyak	PROPN
ejpam-2610	225	7	.	.	PUNCT
ejpam-2610	226	1	estimation	estimation	NOUN
ejpam-2610	226	2	of	of	ADP
ejpam-2610	226	3	norm	norm	NOUN
ejpam-2610	226	4	of	of	ADP
ejpam-2610	226	5	the	the	DET
ejpam-2610	226	6	resolvent	resolvent	NOUN
ejpam-2610	226	7	of	of	ADP
ejpam-2610	226	8	elliptic	elliptic	ADJ
ejpam-2610	226	9	operator	operator	NOUN
ejpam-2610	226	10	in	in	ADP
ejpam-2610	226	11	spaces	space	NOUN
ejpam-2610	226	12	lp	lp	PROPN
ejpam-2610	226	13	,	,	PUNCT
ejpam-2610	226	14	uspekhi	uspekhi	PROPN
ejpam-2610	226	15	matematicheskikh	matematicheskikh	PROPN
ejpam-2610	226	16	nauk	nauk	PROPN
ejpam-2610	226	17	,	,	PUNCT
ejpam-2610	226	18	15(6	15(6	NUM
ejpam-2610	226	19	)	)	PUNCT
ejpam-2610	226	20	,	,	PUNCT
ejpam-2610	226	21	141	141	NUM
ejpam-2610	226	22	-	-	SYM
ejpam-2610	226	23	148	148	NUM
ejpam-2610	226	24	.	.	PUNCT
ejpam-2610	226	25	1960	1960	NUM
ejpam-2610	226	26	.	.	PUNCT
ejpam-2610	227	1	references	reference	NOUN
ejpam-2610	227	2	174	174	NUM
ejpam-2610	227	3	[	[	X
ejpam-2610	227	4	23	23	NUM
ejpam-2610	227	5	]	]	X
ejpam-2610	227	6	h.b	h.b	PROPN
ejpam-2610	227	7	.	.	PROPN
ejpam-2610	227	8	stewart	stewart	PROPN
ejpam-2610	227	9	.	.	PUNCT
ejpam-2610	228	1	generation	generation	NOUN
ejpam-2610	228	2	of	of	ADP
ejpam-2610	228	3	analytic	analytic	ADJ
ejpam-2610	228	4	semigroups	semigroup	NOUN
ejpam-2610	228	5	by	by	ADP
ejpam-2610	228	6	strongly	strongly	ADV
ejpam-2610	228	7	elliptic	elliptic	ADJ
ejpam-2610	228	8	operators	operator	NOUN
ejpam-2610	228	9	under	under	ADP
ejpam-2610	228	10	general	general	ADJ
ejpam-2610	228	11	boundary	boundary	ADJ
ejpam-2610	228	12	conditions	condition	NOUN
ejpam-2610	228	13	,	,	PUNCT
ejpam-2610	228	14	transactions	transaction	NOUN
ejpam-2610	228	15	of	of	ADP
ejpam-2610	228	16	the	the	DET
ejpam-2610	228	17	american	american	PROPN
ejpam-2610	228	18	mathematical	mathematical	PROPN
ejpam-2610	228	19	society	society	NOUN
ejpam-2610	228	20	,	,	PUNCT
ejpam-2610	228	21	259	259	NUM
ejpam-2610	228	22	,	,	PUNCT
ejpam-2610	228	23	299	299	NUM
ejpam-2610	228	24	-	-	SYM
ejpam-2610	228	25	310	310	NUM
ejpam-2610	228	26	.	.	NOUN
ejpam-2610	228	27	1980	1980	NUM
ejpam-2610	228	28	.	.	PUNCT
ejpam-2610	229	1	[	[	X
ejpam-2610	229	2	24	24	NUM
ejpam-2610	229	3	]	]	PUNCT
ejpam-2610	229	4	h.	h.	NOUN
ejpam-2610	229	5	triebel	triebel	NOUN
ejpam-2610	229	6	.	.	PUNCT
ejpam-2610	230	1	interpolation	interpolation	NOUN
ejpam-2610	230	2	theory	theory	NOUN
ejpam-2610	230	3	,	,	PUNCT
ejpam-2610	230	4	function	function	NOUN
ejpam-2610	230	5	spaces	space	NOUN
ejpam-2610	230	6	,	,	PUNCT
ejpam-2610	230	7	differential	differential	ADJ
ejpam-2610	230	8	operators	operator	NOUN
ejpam-2610	230	9	,	,	PUNCT
ejpam-2610	230	10	north	north	NOUN
ejpam-2610	230	11	-	-	PUNCT
ejpam-2610	230	12	holland	holland	PROPN
ejpam-2610	230	13	,	,	PUNCT
ejpam-2610	230	14	amsterdam	amsterdam	PROPN
ejpam-2610	230	15	-	-	PUNCT
ejpam-2610	230	16	new	new	PROPN
ejpam-2610	230	17	york	york	PROPN
ejpam-2610	230	18	,	,	PUNCT
ejpam-2610	230	19	1978	1978	NUM
ejpam-2610	230	20	.	.	PUNCT