id	sid	tid	token	lemma	pos
ejpam-124	1	1	10_bulut.dvi	10_bulut.dvi	NUM
ejpam-124	1	2	european	european	PROPN
ejpam-124	1	3	journal	journal	PROPN
ejpam-124	1	4	of	of	ADP
ejpam-124	1	5	pure	pure	ADJ
ejpam-124	1	6	and	and	CCONJ
ejpam-124	1	7	applied	apply	VERB
ejpam-124	1	8	mathematics	mathematic	NOUN
ejpam-124	1	9	vol	vol	NOUN
ejpam-124	1	10	.	.	PROPN
ejpam-124	2	1	2	2	NUM
ejpam-124	2	2	,	,	PUNCT
ejpam-124	2	3	no	no	INTJ
ejpam-124	2	4	.	.	NOUN
ejpam-124	2	5	2	2	NUM
ejpam-124	2	6	,	,	PUNCT
ejpam-124	2	7	2009	2009	NUM
ejpam-124	2	8	,	,	PUNCT
ejpam-124	2	9	(	(	PUNCT
ejpam-124	2	10	296	296	NUM
ejpam-124	2	11	-	-	NUM
ejpam-124	2	12	301	301	NUM
ejpam-124	2	13	)	)	PUNCT
ejpam-124	2	14	issn	issn	PROPN
ejpam-124	2	15	1307	1307	NUM
ejpam-124	2	16	-	-	SYM
ejpam-124	2	17	5543	5543	NUM
ejpam-124	2	18	–	–	PUNCT
ejpam-124	2	19	www.ejpam.com	www.ejpam.com	X
ejpam-124	2	20	a	a	DET
ejpam-124	2	21	note	note	NOUN
ejpam-124	2	22	on	on	ADP
ejpam-124	2	23	the	the	DET
ejpam-124	2	24	operator	operator	NOUN
ejpam-124	2	25	-	-	PUNCT
ejpam-124	2	26	valued	value	VERB
ejpam-124	2	27	poisson	poisson	PROPN
ejpam-124	2	28	kernel	kernel	PROPN
ejpam-124	2	29	serap	serap	PROPN
ejpam-124	2	30	bulut	bulut	PROPN
ejpam-124	3	1	kocaeli	kocaeli	PROPN
ejpam-124	3	2	university	university	PROPN
ejpam-124	3	3	,	,	PUNCT
ejpam-124	3	4	civil	civil	ADJ
ejpam-124	3	5	aviation	aviation	NOUN
ejpam-124	3	6	college	college	NOUN
ejpam-124	3	7	,	,	PUNCT
ejpam-124	3	8	arslanbey	arslanbey	NOUN
ejpam-124	3	9	campus	campus	VERB
ejpam-124	3	10	41285	41285	NUM
ejpam-124	3	11	i̇zmit	i̇zmit	NOUN
ejpam-124	3	12	,	,	PUNCT
ejpam-124	3	13	kocaeli	kocaeli	ADJ
ejpam-124	3	14	/	/	SYM
ejpam-124	3	15	turkey	turkey	NOUN
ejpam-124	3	16	abstract	abstract	NOUN
ejpam-124	3	17	.	.	PUNCT
ejpam-124	4	1	the	the	DET
ejpam-124	4	2	purpose	purpose	NOUN
ejpam-124	4	3	of	of	ADP
ejpam-124	4	4	this	this	DET
ejpam-124	4	5	paper	paper	NOUN
ejpam-124	4	6	is	be	AUX
ejpam-124	4	7	to	to	PART
ejpam-124	4	8	give	give	VERB
ejpam-124	4	9	a	a	DET
ejpam-124	4	10	different	different	ADJ
ejpam-124	4	11	proof	proof	NOUN
ejpam-124	4	12	of	of	ADP
ejpam-124	4	13	the	the	DET
ejpam-124	4	14	integral	integral	ADJ
ejpam-124	4	15	formula	formula	NOUN
ejpam-124	4	16	1	1	NUM
ejpam-124	4	17	2π	2π	NUM
ejpam-124	4	18	2π	2π	PROPN
ejpam-124	4	19	∫	∫	PROPN
ejpam-124	4	20	0	0	NUM
ejpam-124	4	21	kr	kr	PROPN
ejpam-124	4	22	,	,	PUNCT
ejpam-124	4	23	t(t	t(t	NOUN
ejpam-124	4	24	)	)	PUNCT
ejpam-124	4	25	d	d	NOUN
ejpam-124	4	26	t	t	NOUN
ejpam-124	5	1	=	=	PUNCT
ejpam-124	5	2	i	i	INTJ
ejpam-124	5	3	,	,	PUNCT
ejpam-124	5	4	where	where	SCONJ
ejpam-124	5	5	kr	kr	PROPN
ejpam-124	5	6	,	,	PUNCT
ejpam-124	5	7	t(t	t(t	NOUN
ejpam-124	5	8	)	)	PUNCT
ejpam-124	5	9	is	be	AUX
ejpam-124	5	10	the	the	DET
ejpam-124	5	11	operator	operator	NOUN
ejpam-124	5	12	-	-	PUNCT
ejpam-124	5	13	valued	value	VERB
ejpam-124	5	14	poisson	poisson	NOUN
ejpam-124	5	15	kernel	kernel	PROPN
ejpam-124	5	16	.	.	PUNCT
ejpam-124	6	1	ams	am	NOUN
ejpam-124	6	2	subject	subject	ADJ
ejpam-124	6	3	classifications	classification	NOUN
ejpam-124	6	4	:	:	PUNCT
ejpam-124	6	5	primary	primary	ADJ
ejpam-124	6	6	45p05	45p05	NUM
ejpam-124	6	7	,	,	PUNCT
ejpam-124	6	8	47a60	47a60	NUM
ejpam-124	6	9	;	;	PUNCT
ejpam-124	6	10	secondary	secondary	ADJ
ejpam-124	6	11	46e40	46e40	NUM
ejpam-124	6	12	,	,	PUNCT
ejpam-124	6	13	47b38	47b38	DET
ejpam-124	6	14	key	key	ADJ
ejpam-124	6	15	words	word	NOUN
ejpam-124	6	16	:	:	PUNCT
ejpam-124	6	17	poisson	poisson	PROPN
ejpam-124	6	18	kernel	kernel	PROPN
ejpam-124	6	19	,	,	PUNCT
ejpam-124	6	20	operator	operator	NOUN
ejpam-124	6	21	-	-	PUNCT
ejpam-124	6	22	valued	value	VERB
ejpam-124	6	23	poisson	poisson	NOUN
ejpam-124	6	24	kernel	kernel	PROPN
ejpam-124	6	25	1	1	X
ejpam-124	6	26	.	.	PUNCT
ejpam-124	7	1	introduction	introduction	NOUN
ejpam-124	7	2	let	let	VERB
ejpam-124	7	3	h	h	PRON
ejpam-124	7	4	be	be	AUX
ejpam-124	7	5	a	a	DET
ejpam-124	7	6	hilbert	hilbert	NOUN
ejpam-124	7	7	space	space	NOUN
ejpam-124	7	8	which	which	PRON
ejpam-124	7	9	will	will	AUX
ejpam-124	7	10	be	be	AUX
ejpam-124	7	11	always	always	ADV
ejpam-124	7	12	complex	complex	ADJ
ejpam-124	7	13	and	and	CCONJ
ejpam-124	7	14	let	let	VERB
ejpam-124	7	15	l	l	NOUN
ejpam-124	7	16	(	(	PUNCT
ejpam-124	7	17	h	h	NOUN
ejpam-124	7	18	)	)	PUNCT
ejpam-124	7	19	be	be	AUX
ejpam-124	7	20	the	the	DET
ejpam-124	7	21	algebra	algebra	NOUN
ejpam-124	7	22	of	of	ADP
ejpam-124	7	23	all	all	DET
ejpam-124	7	24	bounded	bound	VERB
ejpam-124	7	25	linear	linear	PROPN
ejpam-124	7	26	operators	operator	NOUN
ejpam-124	7	27	from	from	ADP
ejpam-124	7	28	h	h	NOUN
ejpam-124	7	29	to	to	ADP
ejpam-124	7	30	h	h	PROPN
ejpam-124	7	31	.	.	PUNCT
ejpam-124	8	1	we	we	PRON
ejpam-124	8	2	write	write	VERB
ejpam-124	8	3	i	i	PRON
ejpam-124	8	4	for	for	ADP
ejpam-124	8	5	the	the	DET
ejpam-124	8	6	identity	identity	NOUN
ejpam-124	8	7	operator	operator	NOUN
ejpam-124	8	8	on	on	ADP
ejpam-124	8	9	h	h	NOUN
ejpam-124	8	10	.	.	PUNCT
ejpam-124	9	1	for	for	ADP
ejpam-124	9	2	t	t	PROPN
ejpam-124	9	3	∈	∈	PROPN
ejpam-124	9	4	l	l	NOUN
ejpam-124	9	5	(	(	PUNCT
ejpam-124	9	6	h	h	NOUN
ejpam-124	9	7	)	)	PUNCT
ejpam-124	9	8	,	,	PUNCT
ejpam-124	9	9	we	we	PRON
ejpam-124	9	10	denote	denote	VERB
ejpam-124	9	11	by	by	ADP
ejpam-124	9	12	σ(t	σ(t	PROPN
ejpam-124	9	13	)	)	PUNCT
ejpam-124	10	1	the	the	DET
ejpam-124	10	2	spectrum	spectrum	NOUN
ejpam-124	10	3	of	of	ADP
ejpam-124	10	4	t	t	PROPN
ejpam-124	10	5	.	.	PUNCT
ejpam-124	11	1	t	t	PROPN
ejpam-124	11	2	is	be	AUX
ejpam-124	11	3	called	call	VERB
ejpam-124	11	4	a	a	DET
ejpam-124	11	5	unitary	unitary	ADJ
ejpam-124	11	6	operator	operator	NOUN
ejpam-124	11	7	if	if	SCONJ
ejpam-124	11	8	it	it	PRON
ejpam-124	11	9	satisfies	satisfy	VERB
ejpam-124	11	10	t	t	PROPN
ejpam-124	11	11	∗t	∗t	PROPN
ejpam-124	11	12	=	=	PUNCT
ejpam-124	11	13	t	t	PROPN
ejpam-124	11	14	t	t	NOUN
ejpam-124	11	15	∗	∗	NOUN
ejpam-124	11	16	=	=	PUNCT
ejpam-124	12	1	i	i	PRON
ejpam-124	12	2	where	where	SCONJ
ejpam-124	12	3	t	t	PROPN
ejpam-124	12	4	∗	∗	NOUN
ejpam-124	12	5	is	be	AUX
ejpam-124	12	6	the	the	DET
ejpam-124	12	7	adjoint	adjoint	NOUN
ejpam-124	12	8	of	of	ADP
ejpam-124	12	9	t	t	PROPN
ejpam-124	12	10	.	.	PUNCT
ejpam-124	13	1	email	email	NOUN
ejpam-124	13	2	address	address	NOUN
ejpam-124	13	3	:	:	PUNCT
ejpam-124	13	4	serap.bulut	serap.bulut	VERB
ejpam-124	13	5	�	�	NOUN
ejpam-124	13	6	ko	ko	PROPN
ejpam-124	13	7	aeli.edu.tr	aeli.edu.tr	PRON
ejpam-124	13	8	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-124	14	1	296	296	NUM
ejpam-124	14	2	c	c	X
ejpam-124	14	3	©	©	PROPN
ejpam-124	14	4	2009	2009	NUM
ejpam-124	14	5	ejpam	ejpam	NOUN
ejpam-124	14	6	all	all	DET
ejpam-124	14	7	rights	right	NOUN
ejpam-124	14	8	reserved	reserve	VERB
ejpam-124	14	9	.	.	PUNCT
ejpam-124	15	1	s.	s.	PROPN
ejpam-124	15	2	bulut	bulut	PROPN
ejpam-124	15	3	/	/	SYM
ejpam-124	15	4	eur	eur	PROPN
ejpam-124	15	5	.	.	PUNCT
ejpam-124	16	1	j.	j.	PROPN
ejpam-124	16	2	pure	pure	PROPN
ejpam-124	16	3	appl	appl	PROPN
ejpam-124	16	4	.	.	PROPN
ejpam-124	16	5	math	math	PROPN
ejpam-124	16	6	,	,	PUNCT
ejpam-124	16	7	2	2	NUM
ejpam-124	16	8	(	(	PUNCT
ejpam-124	16	9	2009	2009	NUM
ejpam-124	16	10	)	)	PUNCT
ejpam-124	16	11	,	,	PUNCT
ejpam-124	16	12	(	(	PUNCT
ejpam-124	16	13	296	296	NUM
ejpam-124	16	14	-	-	NUM
ejpam-124	16	15	301	301	NUM
ejpam-124	16	16	)	)	PUNCT
ejpam-124	16	17	297	297	NUM
ejpam-124	16	18	throughout	throughout	ADP
ejpam-124	16	19	the	the	DET
ejpam-124	16	20	paper	paper	NOUN
ejpam-124	16	21	d	d	NOUN
ejpam-124	16	22	will	will	AUX
ejpam-124	16	23	denote	denote	VERB
ejpam-124	16	24	the	the	DET
ejpam-124	16	25	open	open	ADJ
ejpam-124	16	26	unit	unit	NOUN
ejpam-124	16	27	disc	disc	VERB
ejpam-124	16	28	d=	d=	NOUN
ejpam-124	16	29	{	{	PUNCT
ejpam-124	16	30	z	z	NOUN
ejpam-124	16	31	:	:	PUNCT
ejpam-124	16	32	|z|	|z|	NOUN
ejpam-124	16	33	<	<	X
ejpam-124	16	34	1	1	NUM
ejpam-124	16	35	}	}	PUNCT
ejpam-124	16	36	in	in	ADP
ejpam-124	16	37	the	the	DET
ejpam-124	16	38	complex	complex	ADJ
ejpam-124	16	39	plane	plane	NOUN
ejpam-124	16	40	c.	c.	NOUN
ejpam-124	16	41	for	for	ADP
ejpam-124	16	42	rei	rei	PROPN
ejpam-124	16	43	t	t	PROPN
ejpam-124	16	44	∈	∈	PROPN
ejpam-124	17	1	d	d	PROPN
ejpam-124	17	2	,	,	PUNCT
ejpam-124	17	3	the	the	DET
ejpam-124	17	4	(	(	PUNCT
ejpam-124	17	5	scalar	scalar	ADJ
ejpam-124	17	6	)	)	PUNCT
ejpam-124	17	7	poisson	poisson	PROPN
ejpam-124	17	8	kernel	kernel	PROPN
ejpam-124	17	9	pr	pr	PROPN
ejpam-124	17	10	,	,	PUNCT
ejpam-124	17	11	t	t	PROPN
ejpam-124	17	12	is	be	AUX
ejpam-124	17	13	defined	define	VERB
ejpam-124	17	14	by	by	ADP
ejpam-124	17	15	pr	pr	NOUN
ejpam-124	17	16	,	,	PUNCT
ejpam-124	17	17	t(e	t(e	X
ejpam-124	17	18	iθ	iθ	NOUN
ejpam-124	17	19	)	)	PUNCT
ejpam-124	18	1	=	=	SYM
ejpam-124	18	2	1−	1−	NUM
ejpam-124	18	3	r2	r2	PROPN
ejpam-124	18	4	�	�	PROPN
ejpam-124	18	5	1−	1−	NUM
ejpam-124	18	6	rei	rei	PROPN
ejpam-124	18	7	t	t	PROPN
ejpam-124	18	8	e−iθ	e−iθ	PROPN
ejpam-124	18	9	�	�	PROPN
ejpam-124	18	10	�	�	PROPN
ejpam-124	18	11	1−	1−	NUM
ejpam-124	18	12	re−i	re−i	PROPN
ejpam-124	18	13	teiθ	teiθ	PROPN
ejpam-124	18	14	�	�	PROPN
ejpam-124	18	15	=	=	NOUN
ejpam-124	18	16	1	1	NUM
ejpam-124	18	17	1−	1−	NUM
ejpam-124	18	18	rei	rei	PROPN
ejpam-124	18	19	te−iθ	te−iθ	PROPN
ejpam-124	19	1	+	+	CCONJ
ejpam-124	19	2	1	1	NUM
ejpam-124	19	3	1−	1−	NUM
ejpam-124	19	4	re−i	re−i	PROPN
ejpam-124	19	5	t	t	PROPN
ejpam-124	19	6	eiθ	eiθ	NUM
ejpam-124	20	1	−	−	NOUN
ejpam-124	20	2	1	1	NUM
ejpam-124	20	3	=	=	SYM
ejpam-124	20	4	∑	∑	PUNCT
ejpam-124	20	5	n≥0	n≥0	PROPN
ejpam-124	20	6	rneint	rneint	NOUN
ejpam-124	20	7	e−inθ	e−inθ	NOUN
ejpam-124	21	1	+	+	CCONJ
ejpam-124	21	2	∑	∑	PROPN
ejpam-124	21	3	n≥0	n≥0	ADJ
ejpam-124	21	4	rne−int	rne−int	PROPN
ejpam-124	21	5	einθ	einθ	NOUN
ejpam-124	21	6	−	−	PROPN
ejpam-124	22	1	1	1	X
ejpam-124	22	2	.	.	PUNCT
ejpam-124	23	1	it	it	PRON
ejpam-124	23	2	is	be	AUX
ejpam-124	23	3	the	the	DET
ejpam-124	23	4	well	well	ADV
ejpam-124	23	5	-	-	PUNCT
ejpam-124	23	6	known	know	VERB
ejpam-124	23	7	property	property	NOUN
ejpam-124	23	8	of	of	ADP
ejpam-124	23	9	the	the	DET
ejpam-124	23	10	(	(	PUNCT
ejpam-124	23	11	scalar	scalar	ADJ
ejpam-124	23	12	)	)	PUNCT
ejpam-124	23	13	poisson	poisson	NOUN
ejpam-124	23	14	kernel	kernel	PROPN
ejpam-124	23	15	that	that	SCONJ
ejpam-124	23	16	the	the	DET
ejpam-124	23	17	integral	integral	ADJ
ejpam-124	23	18	formula	formula	NOUN
ejpam-124	23	19	1	1	NUM
ejpam-124	23	20	2π	2π	NUM
ejpam-124	23	21	2π	2π	PROPN
ejpam-124	23	22	∫	∫	PROPN
ejpam-124	23	23	0	0	NUM
ejpam-124	23	24	pr	pr	PROPN
ejpam-124	23	25	,	,	PUNCT
ejpam-124	23	26	t(e	t(e	PROPN
ejpam-124	23	27	iθ	iθ	NOUN
ejpam-124	23	28	)	)	PUNCT
ejpam-124	23	29	dθ	dθ	PROPN
ejpam-124	23	30	=	=	SYM
ejpam-124	23	31	1	1	NUM
ejpam-124	23	32	(	(	PUNCT
ejpam-124	23	33	1.1	1.1	NUM
ejpam-124	23	34	)	)	PUNCT
ejpam-124	23	35	holds	hold	VERB
ejpam-124	23	36	.	.	PUNCT
ejpam-124	24	1	in	in	ADP
ejpam-124	24	2	[	[	X
ejpam-124	24	3	1	1	NUM
ejpam-124	24	4	]	]	PUNCT
ejpam-124	24	5	,	,	PUNCT
ejpam-124	24	6	the	the	DET
ejpam-124	24	7	author	author	NOUN
ejpam-124	24	8	gave	give	VERB
ejpam-124	24	9	the	the	DET
ejpam-124	24	10	definition	definition	NOUN
ejpam-124	24	11	of	of	ADP
ejpam-124	24	12	the	the	DET
ejpam-124	24	13	operator	operator	NOUN
ejpam-124	24	14	-	-	PUNCT
ejpam-124	24	15	valued	value	VERB
ejpam-124	24	16	poisson	poisson	NOUN
ejpam-124	24	17	kernel	kernel	PROPN
ejpam-124	24	18	kr	kr	PROPN
ejpam-124	24	19	,	,	PUNCT
ejpam-124	24	20	t(t	t(t	NOUN
ejpam-124	24	21	)	)	PUNCT
ejpam-124	24	22	∈	∈	PROPN
ejpam-124	24	23	l	l	NOUN
ejpam-124	24	24	(	(	PUNCT
ejpam-124	24	25	h	h	NOUN
ejpam-124	24	26	)	)	PUNCT
ejpam-124	24	27	for	for	ADP
ejpam-124	24	28	t	t	PROPN
ejpam-124	24	29	∈	∈	PROPN
ejpam-124	24	30	l	l	NOUN
ejpam-124	24	31	(	(	PUNCT
ejpam-124	24	32	h	h	NOUN
ejpam-124	24	33	)	)	PUNCT
ejpam-124	24	34	such	such	ADJ
ejpam-124	24	35	that	that	SCONJ
ejpam-124	24	36	σ(t	σ(t	PROPN
ejpam-124	24	37	)	)	PUNCT
ejpam-124	25	1	⊂	⊂	PROPN
ejpam-124	25	2	d	d	PROPN
ejpam-124	25	3	and	and	CCONJ
ejpam-124	25	4	for	for	ADP
ejpam-124	25	5	rei	rei	PROPN
ejpam-124	25	6	t	t	PROPN
ejpam-124	25	7	∈	∈	PROPN
ejpam-124	25	8	d	d	X
ejpam-124	25	9	,	,	PUNCT
ejpam-124	25	10	in	in	ADP
ejpam-124	25	11	the	the	DET
ejpam-124	25	12	following	following	ADJ
ejpam-124	25	13	way	way	NOUN
ejpam-124	25	14	:	:	PUNCT
ejpam-124	25	15	kr	kr	NOUN
ejpam-124	25	16	,	,	PUNCT
ejpam-124	25	17	t(t	t(t	NOUN
ejpam-124	25	18	)	)	PUNCT
ejpam-124	25	19	=	=	SYM
ejpam-124	26	1	(	(	PUNCT
ejpam-124	26	2	i	i	PRON
ejpam-124	26	3	−	−	PROPN
ejpam-124	26	4	rei	rei	PROPN
ejpam-124	26	5	t	t	PROPN
ejpam-124	26	6	t	t	PROPN
ejpam-124	26	7	∗)−1	∗)−1	X
ejpam-124	26	8	+	+	PROPN
ejpam-124	26	9	(	(	PUNCT
ejpam-124	26	10	i	i	PRON
ejpam-124	26	11	−	−	PROPN
ejpam-124	26	12	re−i	re−i	PROPN
ejpam-124	26	13	t	t	PROPN
ejpam-124	26	14	t	t	PROPN
ejpam-124	26	15	)	)	PUNCT
ejpam-124	27	1	−1−	−1−	PROPN
ejpam-124	27	2	i	i	PRON
ejpam-124	27	3	.	.	PUNCT
ejpam-124	28	1	(	(	PUNCT
ejpam-124	28	2	1.2	1.2	NUM
ejpam-124	28	3	)	)	PUNCT
ejpam-124	28	4	for	for	ADP
ejpam-124	28	5	an	an	DET
ejpam-124	28	6	operator	operator	NOUN
ejpam-124	28	7	t	t	PROPN
ejpam-124	28	8	∈	∈	PROPN
ejpam-124	28	9	l	l	NOUN
ejpam-124	28	10	(	(	PUNCT
ejpam-124	28	11	h	h	NOUN
ejpam-124	28	12	)	)	PUNCT
ejpam-124	28	13	and	and	CCONJ
ejpam-124	28	14	a	a	DET
ejpam-124	28	15	polynomial	polynomial	ADJ
ejpam-124	28	16	p(z	p(z	NOUN
ejpam-124	28	17	)	)	PUNCT
ejpam-124	28	18	=	=	SYM
ejpam-124	29	1	n	n	CCONJ
ejpam-124	29	2	∑	∑	ADP
ejpam-124	29	3	k=0	k=0	PROPN
ejpam-124	29	4	akzk	akzk	NOUN
ejpam-124	29	5	∈	∈	PROPN
ejpam-124	29	6	c	c	PUNCT
ejpam-124	30	1	[	[	X
ejpam-124	30	2	z	z	X
ejpam-124	30	3	]	]	X
ejpam-124	30	4	|	|	NOUN
ejpam-124	30	5	�	�	NOUN
ejpam-124	30	6	d	d	NOUN
ejpam-124	30	7	,	,	PUNCT
ejpam-124	30	8	p(t	p(t	NOUN
ejpam-124	30	9	)	)	PUNCT
ejpam-124	31	1	∈	∈	PROPN
ejpam-124	31	2	l	l	NOUN
ejpam-124	31	3	(	(	PUNCT
ejpam-124	31	4	h	h	NOUN
ejpam-124	31	5	)	)	PUNCT
ejpam-124	31	6	is	be	AUX
ejpam-124	31	7	defined	define	VERB
ejpam-124	31	8	by	by	ADP
ejpam-124	31	9	p(t	p(t	NOUN
ejpam-124	31	10	)	)	PUNCT
ejpam-124	32	1	=	=	SYM
ejpam-124	32	2	n	n	PROPN
ejpam-124	32	3	∑	∑	ADP
ejpam-124	32	4	k=0	k=0	PROPN
ejpam-124	32	5	ak	ak	PROPN
ejpam-124	32	6	t	t	PROPN
ejpam-124	32	7	k.	k.	PROPN
ejpam-124	32	8	remark	remark	PROPN
ejpam-124	32	9	.	.	PUNCT
ejpam-124	33	1	t	t	PROPN
ejpam-124	33	2	0	0	NUM
ejpam-124	33	3	is	be	AUX
ejpam-124	33	4	defined	define	VERB
ejpam-124	33	5	to	to	PART
ejpam-124	33	6	be	be	AUX
ejpam-124	33	7	the	the	DET
ejpam-124	33	8	identity	identity	NOUN
ejpam-124	33	9	operator	operator	NOUN
ejpam-124	33	10	,	,	PUNCT
ejpam-124	33	11	whatever	whatever	PRON
ejpam-124	33	12	the	the	DET
ejpam-124	33	13	operator	operator	NOUN
ejpam-124	33	14	t	t	NOUN
ejpam-124	33	15	.	.	PUNCT
ejpam-124	34	1	on	on	ADP
ejpam-124	34	2	the	the	DET
ejpam-124	34	3	other	other	ADJ
ejpam-124	34	4	hand	hand	NOUN
ejpam-124	34	5	,	,	PUNCT
ejpam-124	34	6	for	for	ADP
ejpam-124	34	7	0	0	NUM
ejpam-124	34	8	≤	≤	NOUN
ejpam-124	34	9	r	r	NOUN
ejpam-124	34	10	<	<	X
ejpam-124	34	11	1	1	NUM
ejpam-124	34	12	,	,	PUNCT
ejpam-124	34	13	p(rt	p(rt	NOUN
ejpam-124	34	14	)	)	PUNCT
ejpam-124	34	15	is	be	AUX
ejpam-124	34	16	defined	define	VERB
ejpam-124	34	17	by	by	ADP
ejpam-124	34	18	means	mean	NOUN
ejpam-124	34	19	of	of	ADP
ejpam-124	34	20	the	the	DET
ejpam-124	34	21	operatorvalued	operatorvalue	VERB
ejpam-124	34	22	poisson	poisson	NOUN
ejpam-124	34	23	kernel	kernel	PROPN
ejpam-124	34	24	as	as	SCONJ
ejpam-124	34	25	follows	follow	VERB
ejpam-124	34	26	.	.	PUNCT
ejpam-124	35	1	lemma	lemma	PROPN
ejpam-124	35	2	1.1	1.1	NUM
ejpam-124	35	3	.	.	PUNCT
ejpam-124	36	1	[	[	X
ejpam-124	36	2	1	1	X
ejpam-124	36	3	]	]	PUNCT
ejpam-124	36	4	let	let	VERB
ejpam-124	36	5	t	t	PROPN
ejpam-124	36	6	∈	∈	PROPN
ejpam-124	36	7	l	l	NOUN
ejpam-124	36	8	(	(	PUNCT
ejpam-124	36	9	h	h	NOUN
ejpam-124	36	10	)	)	PUNCT
ejpam-124	36	11	such	such	ADJ
ejpam-124	36	12	that	that	SCONJ
ejpam-124	36	13	σ(t	σ(t	PROPN
ejpam-124	36	14	)	)	PUNCT
ejpam-124	36	15	⊂	⊂	PROPN
ejpam-124	36	16	d.	d.	PROPN
ejpam-124	36	17	for	for	ADP
ejpam-124	36	18	all	all	DET
ejpam-124	36	19	r	r	NOUN
ejpam-124	36	20	∈	∈	PROPN
ejpam-124	37	1	[	[	X
ejpam-124	37	2	0	0	NUM
ejpam-124	37	3	,	,	PUNCT
ejpam-124	37	4	1	1	NUM
ejpam-124	37	5	)	)	PUNCT
ejpam-124	37	6	,	,	PUNCT
ejpam-124	37	7	we	we	PRON
ejpam-124	37	8	have	have	VERB
ejpam-124	37	9	:	:	PUNCT
ejpam-124	37	10	p(rt	p(rt	ADV
ejpam-124	37	11	)	)	PUNCT
ejpam-124	37	12	=	=	SYM
ejpam-124	38	1	1	1	NUM
ejpam-124	38	2	2π	2π	NUM
ejpam-124	38	3	2π	2π	PROPN
ejpam-124	38	4	∫	∫	NOUN
ejpam-124	38	5	0	0	PUNCT
ejpam-124	39	1	p(ei	p(ei	PROPN
ejpam-124	39	2	t)kr	t)kr	PROPN
ejpam-124	39	3	,	,	PUNCT
ejpam-124	39	4	t(t	t(t	NOUN
ejpam-124	39	5	)	)	PUNCT
ejpam-124	39	6	d	d	NOUN
ejpam-124	39	7	t	t	NOUN
ejpam-124	39	8	,	,	PUNCT
ejpam-124	39	9	p	p	PROPN
ejpam-124	39	10	∈	∈	PROPN
ejpam-124	39	11	c	c	X
ejpam-124	40	1	[	[	X
ejpam-124	40	2	z	z	X
ejpam-124	40	3	]	]	X
ejpam-124	40	4	|	|	NOUN
ejpam-124	40	5	�	�	NOUN
ejpam-124	40	6	d	d	NOUN
ejpam-124	40	7	.	.	PUNCT
ejpam-124	41	1	s.	s.	PROPN
ejpam-124	41	2	bulut	bulut	PROPN
ejpam-124	41	3	/	/	SYM
ejpam-124	41	4	eur	eur	PROPN
ejpam-124	41	5	.	.	PUNCT
ejpam-124	42	1	j.	j.	PROPN
ejpam-124	42	2	pure	pure	PROPN
ejpam-124	42	3	appl	appl	PROPN
ejpam-124	42	4	.	.	PROPN
ejpam-124	42	5	math	math	PROPN
ejpam-124	42	6	,	,	PUNCT
ejpam-124	42	7	2	2	NUM
ejpam-124	42	8	(	(	PUNCT
ejpam-124	42	9	2009	2009	NUM
ejpam-124	42	10	)	)	PUNCT
ejpam-124	42	11	,	,	PUNCT
ejpam-124	42	12	(	(	PUNCT
ejpam-124	42	13	296	296	NUM
ejpam-124	42	14	-	-	NUM
ejpam-124	42	15	301	301	NUM
ejpam-124	42	16	)	)	PUNCT
ejpam-124	42	17	298	298	NUM
ejpam-124	42	18	note	note	VERB
ejpam-124	42	19	that	that	SCONJ
ejpam-124	42	20	in	in	ADP
ejpam-124	42	21	the	the	DET
ejpam-124	42	22	case	case	NOUN
ejpam-124	42	23	p	p	PRON
ejpam-124	42	24	identically	identically	ADV
ejpam-124	42	25	equal	equal	ADJ
ejpam-124	42	26	to	to	ADP
ejpam-124	42	27	1	1	NUM
ejpam-124	42	28	,	,	PUNCT
ejpam-124	42	29	we	we	PRON
ejpam-124	42	30	have	have	VERB
ejpam-124	42	31	main	main	ADJ
ejpam-124	42	32	theorem	theorem	NOUN
ejpam-124	42	33	.	.	PROPN
ejpam-124	42	34	1	1	NUM
ejpam-124	42	35	2π	2π	PROPN
ejpam-124	42	36	2π	2π	PROPN
ejpam-124	42	37	∫	∫	PROPN
ejpam-124	42	38	0	0	NUM
ejpam-124	42	39	kr	kr	PROPN
ejpam-124	42	40	,	,	PUNCT
ejpam-124	42	41	t(t	t(t	NOUN
ejpam-124	42	42	)	)	PUNCT
ejpam-124	42	43	d	d	NOUN
ejpam-124	42	44	t	t	NOUN
ejpam-124	43	1	=	=	PUNCT
ejpam-124	43	2	i	i	PROPN
ejpam-124	43	3	(	(	PUNCT
ejpam-124	43	4	1.3	1.3	NUM
ejpam-124	43	5	)	)	PUNCT
ejpam-124	43	6	for	for	ADP
ejpam-124	43	7	0	0	NUM
ejpam-124	43	8	≤	≤	NOUN
ejpam-124	43	9	r	r	NOUN
ejpam-124	43	10	<	<	X
ejpam-124	43	11	1	1	NUM
ejpam-124	43	12	and	and	CCONJ
ejpam-124	43	13	t	t	NOUN
ejpam-124	43	14	∈	∈	PROPN
ejpam-124	43	15	l	l	NOUN
ejpam-124	43	16	(	(	PUNCT
ejpam-124	43	17	h	h	NOUN
ejpam-124	43	18	)	)	PUNCT
ejpam-124	43	19	such	such	ADJ
ejpam-124	43	20	that	that	SCONJ
ejpam-124	43	21	σ(t	σ(t	PROPN
ejpam-124	43	22	)	)	PUNCT
ejpam-124	44	1	⊂	⊂	PROPN
ejpam-124	44	2	d.	d.	PROPN
ejpam-124	44	3	the	the	DET
ejpam-124	44	4	purpose	purpose	NOUN
ejpam-124	44	5	of	of	ADP
ejpam-124	44	6	this	this	DET
ejpam-124	44	7	paper	paper	NOUN
ejpam-124	44	8	is	be	AUX
ejpam-124	44	9	to	to	PART
ejpam-124	44	10	give	give	VERB
ejpam-124	44	11	a	a	DET
ejpam-124	44	12	different	different	ADJ
ejpam-124	44	13	proof	proof	NOUN
ejpam-124	44	14	of	of	ADP
ejpam-124	44	15	(	(	PUNCT
ejpam-124	44	16	1.3	1.3	NUM
ejpam-124	44	17	)	)	PUNCT
ejpam-124	44	18	independently	independently	ADV
ejpam-124	44	19	a	a	DET
ejpam-124	44	20	polynomial	polynomial	NOUN
ejpam-124	44	21	.	.	PUNCT
ejpam-124	45	1	in	in	ADP
ejpam-124	45	2	[	[	X
ejpam-124	45	3	2	2	NUM
ejpam-124	45	4	]	]	PUNCT
ejpam-124	45	5	which	which	PRON
ejpam-124	45	6	is	be	AUX
ejpam-124	45	7	a	a	DET
ejpam-124	45	8	motive	motive	NOUN
ejpam-124	45	9	of	of	ADP
ejpam-124	45	10	our	our	PRON
ejpam-124	45	11	present	present	ADJ
ejpam-124	45	12	paper	paper	NOUN
ejpam-124	45	13	,	,	PUNCT
ejpam-124	45	14	a	a	DET
ejpam-124	45	15	proof	proof	NOUN
ejpam-124	45	16	of	of	ADP
ejpam-124	45	17	(	(	PUNCT
ejpam-124	45	18	1.1	1.1	NUM
ejpam-124	45	19	)	)	PUNCT
ejpam-124	45	20	is	be	AUX
ejpam-124	45	21	given	give	VERB
ejpam-124	45	22	by	by	ADP
ejpam-124	45	23	using	use	VERB
ejpam-124	45	24	the	the	DET
ejpam-124	45	25	functional	functional	ADJ
ejpam-124	45	26	equation	equation	NOUN
ejpam-124	45	27	f(r2n	f(r2n	NOUN
ejpam-124	45	28	)	)	PUNCT
ejpam-124	45	29	=	=	PUNCT
ejpam-124	45	30	f(r	f(r	NOUN
ejpam-124	45	31	)	)	PUNCT
ejpam-124	45	32	,	,	PUNCT
ejpam-124	45	33	n	n	NOUN
ejpam-124	45	34	=	=	SYM
ejpam-124	45	35	1	1	NUM
ejpam-124	45	36	,	,	PUNCT
ejpam-124	45	37	2	2	NUM
ejpam-124	45	38	,	,	PUNCT
ejpam-124	45	39	.	.	PUNCT
ejpam-124	45	40	.	.	PUNCT
ejpam-124	45	41	.	.	PUNCT
ejpam-124	46	1	where	where	SCONJ
ejpam-124	46	2	f(r	f(r	NOUN
ejpam-124	46	3	)	)	PUNCT
ejpam-124	46	4	=	=	SYM
ejpam-124	47	1	1	1	NUM
ejpam-124	47	2	2π	2π	NUM
ejpam-124	47	3	2π	2π	PROPN
ejpam-124	47	4	∫	∫	PROPN
ejpam-124	47	5	0	0	PROPN
ejpam-124	47	6	1−	1−	NUM
ejpam-124	47	7	r2	r2	PROPN
ejpam-124	47	8	�	�	PROPN
ejpam-124	47	9	1−	1−	NUM
ejpam-124	47	10	reiθ	reiθ	PROPN
ejpam-124	47	11	�	�	PROPN
ejpam-124	47	12	�	�	PROPN
ejpam-124	47	13	1−	1−	NUM
ejpam-124	47	14	re−iθ	re−iθ	PROPN
ejpam-124	47	15	�	�	PROPN
ejpam-124	47	16	dθ	dθ	PROPN
ejpam-124	47	17	,	,	PUNCT
ejpam-124	47	18	0≤	0≤	PUNCT
ejpam-124	47	19	r	r	NOUN
ejpam-124	47	20	<	<	X
ejpam-124	47	21	1	1	NUM
ejpam-124	47	22	.	.	PUNCT
ejpam-124	48	1	in	in	ADP
ejpam-124	48	2	this	this	DET
ejpam-124	48	3	note	note	NOUN
ejpam-124	48	4	,	,	PUNCT
ejpam-124	48	5	we	we	PRON
ejpam-124	48	6	use	use	VERB
ejpam-124	48	7	a	a	DET
ejpam-124	48	8	similar	similar	ADJ
ejpam-124	48	9	method	method	NOUN
ejpam-124	48	10	for	for	ADP
ejpam-124	48	11	the	the	DET
ejpam-124	48	12	operator	operator	NOUN
ejpam-124	48	13	-	-	PUNCT
ejpam-124	48	14	valued	value	VERB
ejpam-124	48	15	poisson	poisson	NOUN
ejpam-124	48	16	kernel	kernel	PROPN
ejpam-124	48	17	kr	kr	PROPN
ejpam-124	48	18	,	,	PUNCT
ejpam-124	48	19	t(t	t(t	NOUN
ejpam-124	48	20	)	)	PUNCT
ejpam-124	48	21	.	.	PUNCT
ejpam-124	49	1	2	2	X
ejpam-124	49	2	.	.	X
ejpam-124	49	3	proof	proof	NOUN
ejpam-124	49	4	of	of	ADP
ejpam-124	49	5	the	the	DET
ejpam-124	49	6	main	main	ADJ
ejpam-124	49	7	theorem	theorem	NOUN
ejpam-124	49	8	let	let	VERB
ejpam-124	49	9	rei	rei	PROPN
ejpam-124	49	10	t	t	PROPN
ejpam-124	49	11	∈	∈	PROPN
ejpam-124	50	1	d	d	PROPN
ejpam-124	50	2	,	,	PUNCT
ejpam-124	50	3	0	0	NUM
ejpam-124	50	4	≤	≤	NOUN
ejpam-124	50	5	r	r	NOUN
ejpam-124	50	6	<	<	X
ejpam-124	50	7	1	1	NUM
ejpam-124	50	8	and	and	CCONJ
ejpam-124	50	9	let	let	VERB
ejpam-124	50	10	t	t	PROPN
ejpam-124	50	11	∈	∈	PROPN
ejpam-124	50	12	l	l	NOUN
ejpam-124	50	13	(	(	PUNCT
ejpam-124	50	14	h	h	NOUN
ejpam-124	50	15	)	)	PUNCT
ejpam-124	50	16	such	such	ADJ
ejpam-124	50	17	that	that	SCONJ
ejpam-124	50	18	σ(t	σ(t	PROPN
ejpam-124	50	19	)	)	PUNCT
ejpam-124	50	20	⊂	⊂	PROPN
ejpam-124	50	21	d.	d.	PROPN
ejpam-124	50	22	set	set	VERB
ejpam-124	50	23	f(rt	f(rt	NOUN
ejpam-124	50	24	)	)	PUNCT
ejpam-124	50	25	def	def	PROPN
ejpam-124	50	26	=	=	SYM
ejpam-124	50	27	1	1	NUM
ejpam-124	50	28	2π	2π	PROPN
ejpam-124	50	29	2π	2π	PROPN
ejpam-124	50	30	∫	∫	PROPN
ejpam-124	50	31	0	0	NUM
ejpam-124	50	32	kr	kr	PROPN
ejpam-124	50	33	,	,	PUNCT
ejpam-124	50	34	t(t	t(t	NOUN
ejpam-124	50	35	)	)	PUNCT
ejpam-124	50	36	d	d	NOUN
ejpam-124	50	37	t	t	PROPN
ejpam-124	50	38	.	.	PUNCT
ejpam-124	51	1	(	(	PUNCT
ejpam-124	51	2	2.1	2.1	NUM
ejpam-124	51	3	)	)	PUNCT
ejpam-124	51	4	then	then	ADV
ejpam-124	51	5	f	f	PROPN
ejpam-124	51	6	is	be	AUX
ejpam-124	51	7	a	a	DET
ejpam-124	51	8	continuous	continuous	ADJ
ejpam-124	51	9	function	function	NOUN
ejpam-124	51	10	.	.	PUNCT
ejpam-124	52	1	also	also	ADV
ejpam-124	52	2	,	,	PUNCT
ejpam-124	52	3	it	it	PRON
ejpam-124	52	4	is	be	AUX
ejpam-124	52	5	obvious	obvious	ADJ
ejpam-124	52	6	that	that	SCONJ
ejpam-124	52	7	f(0	f(0	NOUN
ejpam-124	52	8	)	)	PUNCT
ejpam-124	52	9	=	=	PUNCT
ejpam-124	53	1	i	i	PRON
ejpam-124	53	2	for	for	ADP
ejpam-124	53	3	r	r	NOUN
ejpam-124	53	4	=	=	SYM
ejpam-124	53	5	0	0	X
ejpam-124	53	6	.	.	PUNCT
ejpam-124	54	1	let	let	VERB
ejpam-124	54	2	us	we	PRON
ejpam-124	54	3	write	write	VERB
ejpam-124	54	4	f(rt	f(rt	ADJ
ejpam-124	54	5	)	)	PUNCT
ejpam-124	54	6	=	=	SYM
ejpam-124	54	7	1	1	NUM
ejpam-124	54	8	2π	2π	NUM
ejpam-124	54	9	π	π	X
ejpam-124	54	10	∫	∫	PROPN
ejpam-124	54	11	0	0	NUM
ejpam-124	54	12	kr	kr	PROPN
ejpam-124	54	13	,	,	PUNCT
ejpam-124	54	14	t(t	t(t	NOUN
ejpam-124	54	15	)	)	PUNCT
ejpam-124	54	16	d	d	SYM
ejpam-124	54	17	t	t	NOUN
ejpam-124	55	1	+	+	CCONJ
ejpam-124	55	2	1	1	NUM
ejpam-124	55	3	2π	2π	NUM
ejpam-124	55	4	2π	2π	PROPN
ejpam-124	55	5	∫	∫	PROPN
ejpam-124	56	1	π	π	PROPN
ejpam-124	56	2	kr	kr	PROPN
ejpam-124	56	3	,	,	PUNCT
ejpam-124	56	4	x(t	x(t	PROPN
ejpam-124	56	5	)	)	PUNCT
ejpam-124	57	1	d	d	NOUN
ejpam-124	57	2	x	x	X
ejpam-124	57	3	.	.	PUNCT
ejpam-124	58	1	s.	s.	PROPN
ejpam-124	58	2	bulut	bulut	PROPN
ejpam-124	58	3	/	/	SYM
ejpam-124	58	4	eur	eur	PROPN
ejpam-124	58	5	.	.	PUNCT
ejpam-124	59	1	j.	j.	PROPN
ejpam-124	59	2	pure	pure	PROPN
ejpam-124	59	3	appl	appl	PROPN
ejpam-124	59	4	.	.	PROPN
ejpam-124	59	5	math	math	PROPN
ejpam-124	59	6	,	,	PUNCT
ejpam-124	59	7	2	2	NUM
ejpam-124	59	8	(	(	PUNCT
ejpam-124	59	9	2009	2009	NUM
ejpam-124	59	10	)	)	PUNCT
ejpam-124	59	11	,	,	PUNCT
ejpam-124	59	12	(	(	PUNCT
ejpam-124	59	13	296	296	NUM
ejpam-124	59	14	-	-	NUM
ejpam-124	59	15	301	301	NUM
ejpam-124	59	16	)	)	PUNCT
ejpam-124	59	17	299	299	NUM
ejpam-124	59	18	making	make	VERB
ejpam-124	59	19	the	the	DET
ejpam-124	59	20	substitution	substitution	NOUN
ejpam-124	59	21	x	x	PUNCT
ejpam-124	60	1	=	=	PUNCT
ejpam-124	60	2	t	t	X
ejpam-124	61	1	+	+	NOUN
ejpam-124	61	2	π	π	PROPN
ejpam-124	61	3	in	in	ADP
ejpam-124	61	4	the	the	DET
ejpam-124	61	5	second	second	ADJ
ejpam-124	61	6	integral	integral	ADJ
ejpam-124	61	7	,	,	PUNCT
ejpam-124	61	8	and	and	CCONJ
ejpam-124	61	9	using	use	VERB
ejpam-124	61	10	(	(	PUNCT
ejpam-124	61	11	1.2	1.2	NUM
ejpam-124	61	12	)	)	PUNCT
ejpam-124	61	13	,	,	PUNCT
ejpam-124	61	14	we	we	PRON
ejpam-124	61	15	obtain	obtain	VERB
ejpam-124	61	16	f(rt	f(rt	ADJ
ejpam-124	61	17	)	)	PUNCT
ejpam-124	61	18	=	=	SYM
ejpam-124	61	19	1	1	NUM
ejpam-124	61	20	2π	2π	NUM
ejpam-124	61	21	π	π	PROPN
ejpam-124	61	22	∫	∫	PROPN
ejpam-124	61	23	0	0	PROPN
ejpam-124	62	1	�	�	PROPN
ejpam-124	63	1	(	(	PUNCT
ejpam-124	63	2	i	i	PRON
ejpam-124	63	3	−	−	PROPN
ejpam-124	63	4	rei	rei	PROPN
ejpam-124	63	5	t	t	PROPN
ejpam-124	63	6	t	t	PROPN
ejpam-124	63	7	∗)−1	∗)−1	X
ejpam-124	64	1	+	+	CCONJ
ejpam-124	64	2	(	(	PUNCT
ejpam-124	64	3	i	i	PRON
ejpam-124	64	4	−	−	PROPN
ejpam-124	64	5	re−i	re−i	PROPN
ejpam-124	64	6	t	t	PROPN
ejpam-124	64	7	t	t	PROPN
ejpam-124	64	8	)	)	PUNCT
ejpam-124	65	1	−1−	−1−	PROPN
ejpam-124	66	1	i	i	PRON
ejpam-124	66	2	�	�	PROPN
ejpam-124	67	1	d	d	NOUN
ejpam-124	67	2	t	t	PROPN
ejpam-124	67	3	+	+	CCONJ
ejpam-124	67	4	1	1	NUM
ejpam-124	67	5	2π	2π	NUM
ejpam-124	67	6	π	π	PROPN
ejpam-124	67	7	∫	∫	PROPN
ejpam-124	67	8	0	0	PROPN
ejpam-124	68	1	�	�	PROPN
ejpam-124	69	1	(	(	PUNCT
ejpam-124	69	2	i	i	PROPN
ejpam-124	69	3	+	+	NUM
ejpam-124	69	4	rei	rei	PROPN
ejpam-124	69	5	t	t	PROPN
ejpam-124	69	6	t	t	PROPN
ejpam-124	69	7	∗)−1	∗)−1	X
ejpam-124	70	1	+	+	CCONJ
ejpam-124	70	2	(	(	PUNCT
ejpam-124	70	3	i	i	PRON
ejpam-124	70	4	+	+	NUM
ejpam-124	70	5	re−i	re−i	PROPN
ejpam-124	70	6	t	t	PROPN
ejpam-124	70	7	t	t	PROPN
ejpam-124	70	8	)	)	PUNCT
ejpam-124	70	9	−1−	−1−	PROPN
ejpam-124	71	1	i	i	PRON
ejpam-124	71	2	�	�	PROPN
ejpam-124	72	1	d	d	PROPN
ejpam-124	72	2	t	t	PROPN
ejpam-124	72	3	.	.	PUNCT
ejpam-124	73	1	hence	hence	ADV
ejpam-124	73	2	we	we	PRON
ejpam-124	73	3	get	get	VERB
ejpam-124	73	4	f(rt	f(rt	NUM
ejpam-124	73	5	)	)	PUNCT
ejpam-124	73	6	=	=	SYM
ejpam-124	73	7	1	1	NUM
ejpam-124	73	8	2π	2π	NUM
ejpam-124	73	9	π	π	PROPN
ejpam-124	73	10	∫	∫	PROPN
ejpam-124	73	11	0	0	PROPN
ejpam-124	74	1	�	�	PROPN
ejpam-124	75	1	(	(	PUNCT
ejpam-124	75	2	i	i	PRON
ejpam-124	75	3	−	−	PROPN
ejpam-124	75	4	rei	rei	PROPN
ejpam-124	75	5	t	t	PROPN
ejpam-124	75	6	t	t	PROPN
ejpam-124	75	7	∗)−1	∗)−1	X
ejpam-124	75	8	+	+	PROPN
ejpam-124	75	9	(	(	PUNCT
ejpam-124	75	10	i	i	PRON
ejpam-124	75	11	+	+	NUM
ejpam-124	75	12	rei	rei	PROPN
ejpam-124	75	13	t	t	PROPN
ejpam-124	75	14	t	t	PROPN
ejpam-124	75	15	∗)−1	∗)−1	INTJ
ejpam-124	75	16	�	�	PROPN
ejpam-124	75	17	d	d	PROPN
ejpam-124	75	18	t	t	PROPN
ejpam-124	75	19	(	(	PUNCT
ejpam-124	75	20	2.2	2.2	NUM
ejpam-124	75	21	)	)	PUNCT
ejpam-124	75	22	+	+	CCONJ
ejpam-124	75	23	1	1	NUM
ejpam-124	75	24	2π	2π	NUM
ejpam-124	75	25	π	π	PROPN
ejpam-124	75	26	∫	∫	PROPN
ejpam-124	75	27	0	0	PROPN
ejpam-124	76	1	�	�	PROPN
ejpam-124	77	1	(	(	PUNCT
ejpam-124	77	2	i	i	PRON
ejpam-124	77	3	−	−	PROPN
ejpam-124	77	4	re−i	re−i	PROPN
ejpam-124	77	5	t	t	PROPN
ejpam-124	77	6	t	t	PROPN
ejpam-124	77	7	)	)	PUNCT
ejpam-124	77	8	−1	−1	NOUN
ejpam-124	78	1	+	+	CCONJ
ejpam-124	78	2	(	(	PUNCT
ejpam-124	78	3	i	i	PRON
ejpam-124	78	4	+	+	NUM
ejpam-124	78	5	re−i	re−i	PROPN
ejpam-124	78	6	t	t	PROPN
ejpam-124	78	7	t	t	PROPN
ejpam-124	78	8	)	)	PUNCT
ejpam-124	78	9	−1	−1	NOUN
ejpam-124	78	10	�	�	PROPN
ejpam-124	79	1	d	d	PROPN
ejpam-124	79	2	t	t	PROPN
ejpam-124	79	3	−	−	PROPN
ejpam-124	79	4	1	1	NUM
ejpam-124	79	5	2π	2π	NUM
ejpam-124	79	6	π	π	X
ejpam-124	79	7	∫	∫	PROPN
ejpam-124	79	8	0	0	NUM
ejpam-124	79	9	2id	2id	PROPN
ejpam-124	79	10	t	t	PROPN
ejpam-124	79	11	.	.	PUNCT
ejpam-124	80	1	on	on	ADP
ejpam-124	80	2	the	the	DET
ejpam-124	80	3	other	other	ADJ
ejpam-124	80	4	hand	hand	NOUN
ejpam-124	80	5	,	,	PUNCT
ejpam-124	80	6	we	we	PRON
ejpam-124	80	7	have	have	VERB
ejpam-124	80	8	the	the	DET
ejpam-124	80	9	equalities	equality	NOUN
ejpam-124	80	10	(	(	PUNCT
ejpam-124	80	11	i	i	PRON
ejpam-124	80	12	−	−	PROPN
ejpam-124	80	13	rei	rei	PROPN
ejpam-124	80	14	t	t	PROPN
ejpam-124	80	15	t	t	PROPN
ejpam-124	80	16	∗)−1	∗)−1	X
ejpam-124	81	1	+	+	CCONJ
ejpam-124	81	2	(	(	PUNCT
ejpam-124	81	3	i	i	PRON
ejpam-124	81	4	+	+	NUM
ejpam-124	81	5	rei	rei	PROPN
ejpam-124	81	6	t	t	PROPN
ejpam-124	81	7	t	t	PROPN
ejpam-124	81	8	∗)−1	∗)−1	NOUN
ejpam-124	81	9	=	=	SYM
ejpam-124	81	10	2	2	NUM
ejpam-124	81	11	�	�	NOUN
ejpam-124	81	12	i	i	PRON
ejpam-124	81	13	−	−	VERB
ejpam-124	81	14	r2e2i	r2e2i	PUNCT
ejpam-124	81	15	t	t	PROPN
ejpam-124	81	16	t	t	PROPN
ejpam-124	81	17	∗2	∗2	PROPN
ejpam-124	81	18	�	�	VERB
ejpam-124	81	19	−1	−1	NOUN
ejpam-124	81	20	(	(	PUNCT
ejpam-124	81	21	2.3	2.3	NUM
ejpam-124	81	22	)	)	PUNCT
ejpam-124	81	23	and	and	CCONJ
ejpam-124	81	24	(	(	PUNCT
ejpam-124	81	25	i	i	PRON
ejpam-124	81	26	−	−	PROPN
ejpam-124	81	27	re−i	re−i	PROPN
ejpam-124	81	28	t	t	PROPN
ejpam-124	81	29	t	t	PROPN
ejpam-124	81	30	)	)	PUNCT
ejpam-124	81	31	−1	−1	NOUN
ejpam-124	82	1	+	+	CCONJ
ejpam-124	82	2	(	(	PUNCT
ejpam-124	82	3	i	i	PRON
ejpam-124	82	4	+	+	NUM
ejpam-124	82	5	re−i	re−i	PROPN
ejpam-124	82	6	t	t	PROPN
ejpam-124	82	7	t	t	PROPN
ejpam-124	82	8	)	)	PUNCT
ejpam-124	82	9	−1	−1	NOUN
ejpam-124	82	10	=	=	SYM
ejpam-124	82	11	2	2	NUM
ejpam-124	82	12	�	�	NOUN
ejpam-124	82	13	i	i	PRON
ejpam-124	82	14	−	−	VERB
ejpam-124	82	15	r2e−2i	r2e−2i	VERB
ejpam-124	82	16	t	t	PROPN
ejpam-124	82	17	t	t	PROPN
ejpam-124	82	18	2	2	NUM
ejpam-124	82	19	�	�	NOUN
ejpam-124	82	20	−1	−1	NOUN
ejpam-124	82	21	.	.	PUNCT
ejpam-124	83	1	(	(	PUNCT
ejpam-124	83	2	2.4	2.4	NUM
ejpam-124	83	3	)	)	PUNCT
ejpam-124	83	4	thus	thus	ADV
ejpam-124	83	5	,	,	PUNCT
ejpam-124	83	6	by	by	ADP
ejpam-124	83	7	(	(	PUNCT
ejpam-124	83	8	2.3	2.3	NUM
ejpam-124	83	9	)	)	PUNCT
ejpam-124	83	10	and	and	CCONJ
ejpam-124	83	11	(	(	PUNCT
ejpam-124	83	12	2.4	2.4	NUM
ejpam-124	83	13	)	)	PUNCT
ejpam-124	83	14	,	,	PUNCT
ejpam-124	83	15	(	(	PUNCT
ejpam-124	83	16	2.2	2.2	NUM
ejpam-124	83	17	)	)	PUNCT
ejpam-124	83	18	is	be	AUX
ejpam-124	83	19	of	of	ADP
ejpam-124	83	20	the	the	DET
ejpam-124	83	21	form	form	NOUN
ejpam-124	83	22	f(rt	f(rt	ADJ
ejpam-124	83	23	)	)	PUNCT
ejpam-124	83	24	=	=	SYM
ejpam-124	84	1	1	1	NUM
ejpam-124	84	2	π	π	SYM
ejpam-124	84	3	π	π	PROPN
ejpam-124	84	4	∫	∫	PROPN
ejpam-124	84	5	0	0	NUM
ejpam-124	85	1	h	h	PROPN
ejpam-124	86	1	�	�	PROPN
ejpam-124	87	1	i	i	PRON
ejpam-124	87	2	−	−	VERB
ejpam-124	87	3	r2e2i	r2e2i	PUNCT
ejpam-124	87	4	t	t	PROPN
ejpam-124	87	5	t	t	PROPN
ejpam-124	87	6	∗2	∗2	PROPN
ejpam-124	87	7	�	�	PRON
ejpam-124	87	8	−1	−1	NOUN
ejpam-124	87	9	+	+	CCONJ
ejpam-124	87	10	�	�	NOUN
ejpam-124	88	1	i	i	PRON
ejpam-124	88	2	−	−	VERB
ejpam-124	88	3	r2e−2i	r2e−2i	VERB
ejpam-124	88	4	t	t	PROPN
ejpam-124	88	5	t	t	PROPN
ejpam-124	88	6	2	2	NUM
ejpam-124	88	7	�	�	NOUN
ejpam-124	88	8	−1	−1	NOUN
ejpam-124	89	1	−	−	NOUN
ejpam-124	90	1	i	i	PRON
ejpam-124	90	2	i	i	PRON
ejpam-124	91	1	d	d	X
ejpam-124	91	2	t	t	PROPN
ejpam-124	91	3	.	.	PUNCT
ejpam-124	92	1	making	make	VERB
ejpam-124	92	2	the	the	DET
ejpam-124	92	3	substitution	substitution	NOUN
ejpam-124	92	4	φ	φ	NOUN
ejpam-124	92	5	=	=	SYM
ejpam-124	92	6	2	2	NUM
ejpam-124	92	7	t	t	NOUN
ejpam-124	92	8	in	in	ADP
ejpam-124	92	9	the	the	DET
ejpam-124	92	10	above	above	ADJ
ejpam-124	92	11	integral	integral	ADJ
ejpam-124	92	12	,	,	PUNCT
ejpam-124	92	13	we	we	PRON
ejpam-124	92	14	find	find	VERB
ejpam-124	92	15	f(rt	f(rt	ADJ
ejpam-124	92	16	)	)	PUNCT
ejpam-124	92	17	=	=	SYM
ejpam-124	92	18	1	1	NUM
ejpam-124	92	19	2π	2π	NUM
ejpam-124	92	20	2π	2π	PROPN
ejpam-124	92	21	∫	∫	NOUN
ejpam-124	92	22	0	0	NUM
ejpam-124	92	23	h	h	PROPN
ejpam-124	92	24	�	�	PROPN
ejpam-124	93	1	i	i	PRON
ejpam-124	93	2	−	−	PROPN
ejpam-124	93	3	r2eiφt	r2eiφt	PROPN
ejpam-124	93	4	∗2	∗2	VERB
ejpam-124	93	5	�	�	PRON
ejpam-124	93	6	−1	−1	NOUN
ejpam-124	93	7	+	+	CCONJ
ejpam-124	93	8	�	�	PROPN
ejpam-124	94	1	i	i	PRON
ejpam-124	94	2	−	−	PROPN
ejpam-124	94	3	r2e−iφt	r2e−iφt	VERB
ejpam-124	94	4	2	2	NUM
ejpam-124	94	5	�	�	NOUN
ejpam-124	94	6	−1	−1	NOUN
ejpam-124	94	7	−	−	NOUN
ejpam-124	95	1	i	i	PRON
ejpam-124	95	2	i	i	PRON
ejpam-124	95	3	dφ	dφ	VERB
ejpam-124	95	4	.	.	PUNCT
ejpam-124	96	1	s.	s.	PROPN
ejpam-124	96	2	bulut	bulut	PROPN
ejpam-124	96	3	/	/	SYM
ejpam-124	96	4	eur	eur	PROPN
ejpam-124	96	5	.	.	PUNCT
ejpam-124	97	1	j.	j.	PROPN
ejpam-124	97	2	pure	pure	PROPN
ejpam-124	97	3	appl	appl	PROPN
ejpam-124	97	4	.	.	PROPN
ejpam-124	97	5	math	math	PROPN
ejpam-124	97	6	,	,	PUNCT
ejpam-124	97	7	2	2	NUM
ejpam-124	97	8	(	(	PUNCT
ejpam-124	97	9	2009	2009	NUM
ejpam-124	97	10	)	)	PUNCT
ejpam-124	97	11	,	,	PUNCT
ejpam-124	97	12	(	(	PUNCT
ejpam-124	97	13	296	296	NUM
ejpam-124	97	14	-	-	NUM
ejpam-124	97	15	301	301	NUM
ejpam-124	97	16	)	)	PUNCT
ejpam-124	97	17	300	300	NUM
ejpam-124	97	18	by	by	ADP
ejpam-124	97	19	(	(	PUNCT
ejpam-124	97	20	1.2	1.2	NUM
ejpam-124	97	21	)	)	PUNCT
ejpam-124	97	22	,	,	PUNCT
ejpam-124	97	23	we	we	PRON
ejpam-124	97	24	get	get	VERB
ejpam-124	97	25	f(rt	f(rt	NUM
ejpam-124	97	26	)	)	PUNCT
ejpam-124	97	27	=	=	SYM
ejpam-124	97	28	1	1	NUM
ejpam-124	97	29	2π	2π	NUM
ejpam-124	97	30	2π	2π	PROPN
ejpam-124	97	31	∫	∫	PROPN
ejpam-124	97	32	0	0	NUM
ejpam-124	98	1	kr2,φ(t	kr2,φ(t	PROPN
ejpam-124	98	2	2)dφ	2)dφ	X
ejpam-124	98	3	.	.	PUNCT
ejpam-124	99	1	(	(	PUNCT
ejpam-124	99	2	2.5	2.5	NUM
ejpam-124	99	3	)	)	PUNCT
ejpam-124	99	4	in	in	ADP
ejpam-124	99	5	view	view	NOUN
ejpam-124	99	6	of	of	ADP
ejpam-124	99	7	(	(	PUNCT
ejpam-124	99	8	2.1	2.1	NUM
ejpam-124	99	9	)	)	PUNCT
ejpam-124	99	10	and	and	CCONJ
ejpam-124	99	11	(	(	PUNCT
ejpam-124	99	12	2.5	2.5	NUM
ejpam-124	99	13	)	)	PUNCT
ejpam-124	99	14	,	,	PUNCT
ejpam-124	99	15	we	we	PRON
ejpam-124	99	16	obtain	obtain	VERB
ejpam-124	99	17	f(rt	f(rt	ADJ
ejpam-124	99	18	)	)	PUNCT
ejpam-124	99	19	=	=	PUNCT
ejpam-124	99	20	f(r2	f(r2	ADP
ejpam-124	99	21	t	t	PROPN
ejpam-124	99	22	2	2	NUM
ejpam-124	99	23	)	)	PUNCT
ejpam-124	99	24	.	.	PUNCT
ejpam-124	100	1	(	(	PUNCT
ejpam-124	100	2	2.6	2.6	NUM
ejpam-124	100	3	)	)	PUNCT
ejpam-124	100	4	by	by	ADP
ejpam-124	100	5	repeated	repeat	VERB
ejpam-124	100	6	applications	application	NOUN
ejpam-124	100	7	of	of	ADP
ejpam-124	100	8	(	(	PUNCT
ejpam-124	100	9	2.6	2.6	NUM
ejpam-124	100	10	)	)	PUNCT
ejpam-124	100	11	,	,	PUNCT
ejpam-124	100	12	we	we	PRON
ejpam-124	100	13	see	see	VERB
ejpam-124	100	14	that	that	PRON
ejpam-124	100	15	f(rt	f(rt	X
ejpam-124	100	16	)	)	PUNCT
ejpam-124	100	17	=	=	SYM
ejpam-124	100	18	f((rt	f((rt	X
ejpam-124	100	19	)	)	PUNCT
ejpam-124	100	20	2n	2n	NUM
ejpam-124	100	21	)	)	PUNCT
ejpam-124	100	22	,	,	PUNCT
ejpam-124	100	23	n	n	NOUN
ejpam-124	100	24	=	=	SYM
ejpam-124	100	25	1	1	NUM
ejpam-124	100	26	,	,	PUNCT
ejpam-124	100	27	2	2	NUM
ejpam-124	100	28	,	,	PUNCT
ejpam-124	100	29	.	.	PUNCT
ejpam-124	100	30	.	.	PUNCT
ejpam-124	100	31	.	.	PUNCT
ejpam-124	100	32	.	.	PUNCT
ejpam-124	101	1	since	since	SCONJ
ejpam-124	101	2	‖rt‖	‖rt‖	PROPN
ejpam-124	101	3	<	<	X
ejpam-124	101	4	1	1	NUM
ejpam-124	101	5	,	,	PUNCT
ejpam-124	101	6	we	we	PRON
ejpam-124	101	7	have	have	VERB
ejpam-124	101	8	f(rt	f(rt	NUM
ejpam-124	101	9	)	)	PUNCT
ejpam-124	101	10	=	=	SYM
ejpam-124	101	11	lim	lim	PROPN
ejpam-124	101	12	n→∞	n→∞	X
ejpam-124	101	13	f((rt	f((rt	X
ejpam-124	101	14	)	)	PUNCT
ejpam-124	101	15	2n	2n	NUM
ejpam-124	101	16	)	)	PUNCT
ejpam-124	102	1	=	=	SYM
ejpam-124	102	2	f(0	f(0	NOUN
ejpam-124	102	3	)	)	PUNCT
ejpam-124	103	1	=	=	SYM
ejpam-124	103	2	i	i	INTJ
ejpam-124	103	3	.	.	PUNCT
ejpam-124	104	1	thus	thus	ADV
ejpam-124	104	2	the	the	DET
ejpam-124	104	3	proof	proof	NOUN
ejpam-124	104	4	is	be	AUX
ejpam-124	104	5	completed	complete	VERB
ejpam-124	104	6	.	.	PUNCT
ejpam-124	105	1	3	3	X
ejpam-124	105	2	.	.	X
ejpam-124	105	3	results	result	NOUN
ejpam-124	105	4	corollary	corollary	ADJ
ejpam-124	105	5	3.1	3.1	NUM
ejpam-124	105	6	.	.	PUNCT
ejpam-124	106	1	note	note	VERB
ejpam-124	106	2	that	that	SCONJ
ejpam-124	106	3	f(rt	f(rt	ADJ
ejpam-124	106	4	∗	∗	NOUN
ejpam-124	106	5	)	)	PUNCT
ejpam-124	106	6	=	=	SYM
ejpam-124	107	1	i	i	INTJ
ejpam-124	107	2	.	.	PUNCT
ejpam-124	108	1	lemma	lemma	PROPN
ejpam-124	108	2	3.2	3.2	NUM
ejpam-124	108	3	.	.	PUNCT
ejpam-124	109	1	let	let	VERB
ejpam-124	109	2	t	t	PROPN
ejpam-124	109	3	∈l	∈l	PROPN
ejpam-124	109	4	(	(	PUNCT
ejpam-124	109	5	h	h	NOUN
ejpam-124	109	6	)	)	PUNCT
ejpam-124	109	7	such	such	ADJ
ejpam-124	109	8	that	that	SCONJ
ejpam-124	109	9	σ(t	σ(t	PROPN
ejpam-124	109	10	)	)	PUNCT
ejpam-124	110	1	⊂	⊂	PROPN
ejpam-124	110	2	d.	d.	PROPN
ejpam-124	110	3	if	if	SCONJ
ejpam-124	110	4	t	t	PROPN
ejpam-124	110	5	is	be	AUX
ejpam-124	110	6	invertible	invertible	ADJ
ejpam-124	110	7	then	then	ADV
ejpam-124	110	8	kr−1,t(t	kr−1,t(t	NOUN
ejpam-124	110	9	−1	−1	NOUN
ejpam-124	110	10	)	)	PUNCT
ejpam-124	111	1	=	=	NOUN
ejpam-124	111	2	−kr,−t(t	−kr,−t(t	PROPN
ejpam-124	111	3	)	)	PUNCT
ejpam-124	111	4	for	for	ADP
ejpam-124	111	5	0	0	NUM
ejpam-124	111	6	<	<	X
ejpam-124	111	7	r	r	X
ejpam-124	111	8	<	<	X
ejpam-124	111	9	1	1	NUM
ejpam-124	111	10	.	.	PUNCT
ejpam-124	111	11	corollary	corollary	ADJ
ejpam-124	111	12	3.3	3.3	NUM
ejpam-124	111	13	.	.	PUNCT
ejpam-124	112	1	let	let	VERB
ejpam-124	112	2	t	t	PROPN
ejpam-124	112	3	∈	∈	PROPN
ejpam-124	112	4	l	l	NOUN
ejpam-124	112	5	(	(	PUNCT
ejpam-124	112	6	h	h	NOUN
ejpam-124	112	7	)	)	PUNCT
ejpam-124	112	8	such	such	ADJ
ejpam-124	112	9	that	that	SCONJ
ejpam-124	112	10	σ(t	σ(t	PROPN
ejpam-124	112	11	)	)	PUNCT
ejpam-124	113	1	⊂	⊂	PROPN
ejpam-124	113	2	d.	d.	PROPN
ejpam-124	113	3	(	(	PUNCT
ejpam-124	113	4	i	i	NOUN
ejpam-124	113	5	)	)	PUNCT
ejpam-124	113	6	if	if	SCONJ
ejpam-124	113	7	t	t	PROPN
ejpam-124	113	8	is	be	AUX
ejpam-124	113	9	invertible	invertible	ADJ
ejpam-124	113	10	then	then	ADV
ejpam-124	113	11	f(r−1t−1	f(r−1t−1	X
ejpam-124	113	12	)	)	PUNCT
ejpam-124	114	1	=	=	NOUN
ejpam-124	114	2	−f(rt	−f(rt	NOUN
ejpam-124	114	3	∗	∗	NOUN
ejpam-124	114	4	)	)	PUNCT
ejpam-124	114	5	for	for	ADP
ejpam-124	114	6	0	0	NUM
ejpam-124	114	7	<	<	X
ejpam-124	114	8	r	r	X
ejpam-124	114	9	<	<	X
ejpam-124	114	10	1	1	NUM
ejpam-124	114	11	.	.	PUNCT
ejpam-124	114	12	references	reference	NOUN
ejpam-124	114	13	301	301	NUM
ejpam-124	114	14	(	(	PUNCT
ejpam-124	114	15	ii	ii	NOUN
ejpam-124	114	16	)	)	PUNCT
ejpam-124	114	17	if	if	SCONJ
ejpam-124	114	18	t	t	PROPN
ejpam-124	114	19	is	be	AUX
ejpam-124	114	20	a	a	DET
ejpam-124	114	21	unitary	unitary	ADJ
ejpam-124	114	22	operator	operator	NOUN
ejpam-124	114	23	then	then	ADV
ejpam-124	114	24	f(r−1t−1	f(r−1t−1	PROPN
ejpam-124	114	25	)	)	PUNCT
ejpam-124	114	26	=	=	SYM
ejpam-124	114	27	−f(rt−1	−f(rt−1	PROPN
ejpam-124	114	28	)	)	PUNCT
ejpam-124	114	29	for	for	ADP
ejpam-124	114	30	0	0	NUM
ejpam-124	114	31	<	<	X
ejpam-124	114	32	r	r	NOUN
ejpam-124	114	33	6=	6=	NUM
ejpam-124	114	34	1	1	NUM
ejpam-124	114	35	.	.	PUNCT
ejpam-124	115	1	when	when	SCONJ
ejpam-124	115	2	we	we	PRON
ejpam-124	115	3	consider	consider	VERB
ejpam-124	115	4	the	the	DET
ejpam-124	115	5	corollary	corollary	ADJ
ejpam-124	115	6	3.3	3.3	NUM
ejpam-124	115	7	,	,	PUNCT
ejpam-124	115	8	we	we	PRON
ejpam-124	115	9	have	have	VERB
ejpam-124	115	10	the	the	DET
ejpam-124	115	11	following	follow	VERB
ejpam-124	115	12	theorem	theorem	ADJ
ejpam-124	115	13	3.4	3.4	NUM
ejpam-124	115	14	.	.	PUNCT
ejpam-124	116	1	let	let	VERB
ejpam-124	116	2	t	t	PROPN
ejpam-124	116	3	∈	∈	PROPN
ejpam-124	116	4	l	l	NOUN
ejpam-124	116	5	(	(	PUNCT
ejpam-124	116	6	h	h	NOUN
ejpam-124	116	7	)	)	PUNCT
ejpam-124	116	8	such	such	ADJ
ejpam-124	116	9	that	that	SCONJ
ejpam-124	116	10	σ(t	σ(t	PROPN
ejpam-124	116	11	)	)	PUNCT
ejpam-124	117	1	⊂	⊂	PROPN
ejpam-124	117	2	d.	d.	PROPN
ejpam-124	117	3	(	(	PUNCT
ejpam-124	117	4	i	i	NOUN
ejpam-124	117	5	)	)	PUNCT
ejpam-124	117	6	if	if	SCONJ
ejpam-124	117	7	t	t	PROPN
ejpam-124	117	8	is	be	AUX
ejpam-124	117	9	invertible	invertible	ADJ
ejpam-124	117	10	then	then	ADV
ejpam-124	117	11	1	1	NUM
ejpam-124	117	12	2π	2π	PROPN
ejpam-124	117	13	2π	2π	PROPN
ejpam-124	117	14	∫	∫	PROPN
ejpam-124	117	15	0	0	SYM
ejpam-124	117	16	kr−1,t(t	kr−1,t(t	PROPN
ejpam-124	117	17	−1)d	−1)d	X
ejpam-124	117	18	t	t	X
ejpam-124	117	19	=	=	PUNCT
ejpam-124	117	20	−i	−i	PROPN
ejpam-124	117	21	for	for	ADP
ejpam-124	117	22	0	0	NUM
ejpam-124	117	23	<	<	X
ejpam-124	117	24	r	r	NOUN
ejpam-124	117	25	<	<	X
ejpam-124	117	26	1	1	NUM
ejpam-124	117	27	.	.	PUNCT
ejpam-124	117	28	(	(	PUNCT
ejpam-124	117	29	ii	ii	NOUN
ejpam-124	117	30	)	)	PUNCT
ejpam-124	117	31	if	if	SCONJ
ejpam-124	117	32	t	t	PROPN
ejpam-124	117	33	is	be	AUX
ejpam-124	117	34	a	a	DET
ejpam-124	117	35	unitary	unitary	ADJ
ejpam-124	117	36	operator	operator	NOUN
ejpam-124	117	37	then	then	ADV
ejpam-124	117	38	1	1	NUM
ejpam-124	117	39	2π	2π	PROPN
ejpam-124	117	40	2π	2π	PROPN
ejpam-124	117	41	∫	∫	PROPN
ejpam-124	117	42	0	0	NUM
ejpam-124	117	43	kr	kr	PROPN
ejpam-124	117	44	,	,	PUNCT
ejpam-124	117	45	t(t	t(t	NOUN
ejpam-124	117	46	−1)d	−1)d	NOUN
ejpam-124	117	47	t	t	NOUN
ejpam-124	117	48	=	=	X
ejpam-124	117	49	−i	−i	PROPN
ejpam-124	117	50	for	for	ADP
ejpam-124	117	51	r	r	NOUN
ejpam-124	117	52	>	>	X
ejpam-124	117	53	1	1	NUM
ejpam-124	117	54	.	.	PUNCT
ejpam-124	117	55	references	reference	NOUN
ejpam-124	117	56	[	[	X
ejpam-124	117	57	1	1	NUM
ejpam-124	117	58	]	]	PUNCT
ejpam-124	117	59	i.	i.	NOUN
ejpam-124	117	60	chalendar	chalendar	PROPN
ejpam-124	117	61	,	,	PUNCT
ejpam-124	117	62	the	the	DET
ejpam-124	117	63	operator	operator	NOUN
ejpam-124	117	64	-	-	PUNCT
ejpam-124	117	65	valued	value	VERB
ejpam-124	117	66	poisson	poisson	NOUN
ejpam-124	117	67	kernel	kernel	PROPN
ejpam-124	117	68	and	and	CCONJ
ejpam-124	117	69	its	its	PRON
ejpam-124	117	70	applications	application	NOUN
ejpam-124	117	71	,	,	PUNCT
ejpam-124	117	72	ir	ir	PROPN
ejpam-124	117	73	.	.	PROPN
ejpam-124	117	74	math	math	PROPN
ejpam-124	117	75	.	.	PUNCT
ejpam-124	118	1	soc	soc	PROPN
ejpam-124	118	2	.	.	PUNCT
ejpam-124	119	1	bull	bull	NOUN
ejpam-124	119	2	.	.	PUNCT
ejpam-124	120	1	51	51	NUM
ejpam-124	120	2	(	(	PUNCT
ejpam-124	120	3	2003	2003	NUM
ejpam-124	120	4	)	)	PUNCT
ejpam-124	120	5	,	,	PUNCT
ejpam-124	120	6	21–44	21–44	NUM
ejpam-124	120	7	.	.	PUNCT
ejpam-124	121	1	[	[	X
ejpam-124	121	2	2	2	NUM
ejpam-124	121	3	]	]	PUNCT
ejpam-124	121	4	a.	a.	PROPN
ejpam-124	121	5	e.	e.	PROPN
ejpam-124	121	6	taylor	taylor	PROPN
ejpam-124	121	7	,	,	PUNCT
ejpam-124	121	8	a	a	DET
ejpam-124	121	9	note	note	NOUN
ejpam-124	121	10	on	on	ADP
ejpam-124	121	11	the	the	DET
ejpam-124	121	12	poisson	poisson	PROPN
ejpam-124	121	13	kernel	kernel	PROPN
ejpam-124	121	14	,	,	PUNCT
ejpam-124	121	15	amer	amer	PROPN
ejpam-124	121	16	.	.	PROPN
ejpam-124	121	17	math	math	PROPN
ejpam-124	121	18	.	.	PUNCT
ejpam-124	122	1	monthly	monthly	ADJ
ejpam-124	122	2	,	,	PUNCT
ejpam-124	122	3	57	57	NUM
ejpam-124	122	4	(	(	PUNCT
ejpam-124	122	5	1950	1950	NUM
ejpam-124	122	6	)	)	PUNCT
ejpam-124	122	7	,	,	PUNCT
ejpam-124	122	8	478–479	478–479	NUM
ejpam-124	122	9	.	.	PUNCT