id	sid	eid	entity	type
ejpam-445	1	1	10_445_kumar.dvi	CARDINAL
ejpam-445	1	2	european journal	ORG
ejpam-445	2	1	3	CARDINAL
ejpam-445	2	2	4, 2010	DATE
ejpam-445	2	3	717	CARDINAL
ejpam-445	2	4	devendra kumar	PERSON
ejpam-445	3	1	m.m.h.college	ORG
ejpam-445	4	1	k)and	ORG
ejpam-445	5	1	∈	ORG
ejpam-445	6	1	2000	CARDINAL
ejpam-445	6	2	42c15,41a17,42c40	CARDINAL
ejpam-445	6	3	1	CARDINAL
ejpam-445	9	1	slepian	NORP
ejpam-445	9	2	about forty years ago	DATE
ejpam-445	10	1	shannon	FAC
ejpam-445	12	1	1	CARDINAL
ejpam-445	12	2	1	CARDINAL
ejpam-445	18	1	2010	DATE
ejpam-445	19	1	d. kumar	PERSON
ejpam-445	20	1	j. pure	PERSON
ejpam-445	20	2	3	CARDINAL
ejpam-445	20	3	2010	DATE
ejpam-445	20	4	717	CARDINAL
ejpam-445	20	5	σ	ORG
ejpam-445	22	1	σ π ∫ τ	PERSON
ejpam-445	23	1	σ	ORG
ejpam-445	23	2	σ	ORG
ejpam-445	24	1	2	CARDINAL
ejpam-445	24	2	2	CARDINAL
ejpam-445	24	3	l2(−τ	GPE
ejpam-445	24	4	σ	ORG
ejpam-445	24	5	λ0,σ	PERSON
ejpam-445	26	1	σ	ORG
ejpam-445	29	1	2	CARDINAL
ejpam-445	30	1	τ(x	ORG
ejpam-445	30	2	2	CARDINAL
ejpam-445	30	3	σ	ORG
ejpam-445	30	4	σ	ORG
ejpam-445	31	1	eigenfunctions	GPE
ejpam-445	31	2	σ	ORG
ejpam-445	31	3	2	CARDINAL
ejpam-445	31	4	σ	ORG
ejpam-445	31	5	σ	CARDINAL
ejpam-445	34	1	σ	ORG
ejpam-445	35	1	σ	ORG
ejpam-445	36	1	σ	ORG
ejpam-445	36	2	σ	ORG
ejpam-445	36	3	σ	ORG
ejpam-445	37	1	σ	ORG
ejpam-445	37	2	σ	ORG
ejpam-445	37	3	l2(−τ	GPE
ejpam-445	38	1	ϕ0,σ	ORG
ejpam-445	39	1	σ	ORG
ejpam-445	39	2	τ	PERSON
ejpam-445	40	1	15	CARDINAL
ejpam-445	40	2	⊂	GPE
ejpam-445	41	1	d. kumar	PERSON
ejpam-445	42	1	j. pure	PERSON
ejpam-445	42	2	3	CARDINAL
ejpam-445	42	3	2010	DATE
ejpam-445	42	4	717	CARDINAL
ejpam-445	43	1	mra)are	PRODUCT
ejpam-445	44	1	two	CARDINAL
ejpam-445	44	2	mra	ORG
ejpam-445	48	1	ϕ0,π	GPE
ejpam-445	48	2	τ(2 mt	GPE
ejpam-445	48	3	ϕ0,π	GPE
ejpam-445	48	4	τ(2	GPE
ejpam-445	48	5	φ(2	DATE
ejpam-445	48	6	τ(2 mt	GPE
ejpam-445	51	1	2	CARDINAL
ejpam-445	51	2	the early 1950s	DATE
ejpam-445	53	1	topics,(see[2][3][4	PRODUCT
ejpam-445	55	1	2 ≤ c2|| f ||	QUANTITY
ejpam-445	56	1	3	CARDINAL
ejpam-445	56	2	∈	ORG
ejpam-445	58	1	1	CARDINAL
ejpam-445	61	1	τ(t − 2−mn	ORG
ejpam-445	62	1	2−mn)〉|2	CARDINAL
ejpam-445	64	1	a(m, n	PRODUCT
ejpam-445	64	2	2−mn)φm(t	CARDINAL
ejpam-445	65	1	2−mκ)d	CARDINAL
ejpam-445	66	1	2−mn)φm(t	CARDINAL
ejpam-445	67	1	2−mκ)φκmd	CARDINAL
ejpam-445	68	1	j. pure	PERSON
ejpam-445	68	2	3	CARDINAL
ejpam-445	68	3	2010	DATE
ejpam-445	68	4	717	CARDINAL
ejpam-445	69	1	9	CARDINAL
ejpam-445	70	1	a(m, n	ORG
ejpam-445	70	2	1	CARDINAL
ejpam-445	70	3	∈	ORG
ejpam-445	70	4	∈	ORG
ejpam-445	72	1	bm	ORG
ejpam-445	72	2	2−mκ	CARDINAL
ejpam-445	72	3	4	CARDINAL
ejpam-445	75	1	2−mκ)d	CARDINAL
ejpam-445	77	1	2−mκ)φ̃m(t	CARDINAL
ejpam-445	77	2	2−mκ	CARDINAL
ejpam-445	77	3	5	CARDINAL
ejpam-445	78	1	3	CARDINAL
ejpam-445	79	1	1	CARDINAL
ejpam-445	81	1	bm	ORG
ejpam-445	81	2	2−mκ	CARDINAL
ejpam-445	81	3	∈	ORG
ejpam-445	82	1	2−mκ)d	CARDINAL
ejpam-445	84	1	6	CARDINAL
ejpam-445	84	2	5	CARDINAL
ejpam-445	84	3	af	ORG
ejpam-445	84	4	d. kumar	PERSON
ejpam-445	85	1	j. pure	PERSON
ejpam-445	85	2	3	CARDINAL
ejpam-445	85	3	2010	DATE
ejpam-445	85	4	717	CARDINAL
ejpam-445	86	1	3	CARDINAL
ejpam-445	87	1	bm	ORG
ejpam-445	87	2	2−mκ	CARDINAL
ejpam-445	89	1	2−mn)φm(t	CARDINAL
ejpam-445	91	1	2−mκ)d	CARDINAL
ejpam-445	91	2	2−mn)φm(t	CARDINAL
ejpam-445	91	3	2−mκ	CARDINAL
ejpam-445	93	1	2−mκ)φm(t	CARDINAL
ejpam-445	94	1	2−mκ)d	CARDINAL
ejpam-445	94	2	2−mκ)〉φm(t	CARDINAL
ejpam-445	96	1	〈af	PERSON
ejpam-445	96	2	2−mκ)φm(t	CARDINAL
ejpam-445	96	3	〈af	PERSON
ejpam-445	98	1	2d	DATE
ejpam-445	100	1	7	CARDINAL
ejpam-445	102	1	∈	ORG
ejpam-445	102	2	f̃	PRODUCT
ejpam-445	104	1	〈af̃	PERSON
ejpam-445	107	1	||22 ≤ α	LAW
ejpam-445	108	1	α d. kumar	PERSON
ejpam-445	109	1	j. pure	PERSON
ejpam-445	109	2	3	CARDINAL
ejpam-445	109	3	2010	DATE
ejpam-445	109	4	717	CARDINAL
ejpam-445	110	1	8)	CARDINAL
ejpam-445	110	2	7	CARDINAL
ejpam-445	113	1	2	CARDINAL
ejpam-445	114	1	bm	ORG
ejpam-445	114	2	2−m	CARDINAL
ejpam-445	114	3	a(m, n	GPE
ejpam-445	114	4	2−mκ	CARDINAL
ejpam-445	115	1	9	CARDINAL
ejpam-445	116	1	a(m, n	GPE
ejpam-445	116	2	κ 〈φm(t − 2−mn),φm(t − 2−mκ	PERSON
ejpam-445	116	3	2−mn)〉φm(t	CARDINAL
ejpam-445	118	1	2−mn)φm(t	CARDINAL
ejpam-445	118	2	2−mκ)d	CARDINAL
ejpam-445	120	1	2−mκ)d	CARDINAL
ejpam-445	123	1	2−mn)φ̃m(y	CARDINAL
ejpam-445	124	1	2−mκ)(φm(t	CARDINAL
ejpam-445	125	1	2−mn))2d	CARDINAL
ejpam-445	130	1	2−mn)]2d	CARDINAL
ejpam-445	132	1	3	CARDINAL
ejpam-445	134	1	2	CARDINAL
ejpam-445	134	2	1 2π ∑ m	TIME
ejpam-445	134	3	723	CARDINAL
ejpam-445	134	4	1	CARDINAL
ejpam-445	135	1	1 2π	CARDINAL
ejpam-445	135	2	ξ)dξ|2dw	CARDINAL
ejpam-445	135	3	1	CARDINAL
ejpam-445	135	4	f̂	TIME
ejpam-445	135	5	2dw	ORDINAL
ejpam-445	135	6	1	CARDINAL
ejpam-445	135	7	2mπ	ORDINAL
ejpam-445	135	8	f̂	CARDINAL
ejpam-445	135	9	1 2π	CARDINAL
ejpam-445	137	1	2	CARDINAL
ejpam-445	138	1	a(m,n	PRODUCT
ejpam-445	138	2	2 ≤ c2||	QUANTITY
ejpam-445	138	3	0≤ c1	GPE
ejpam-445	139	1	1	CARDINAL
ejpam-445	139	2	r. courant	PERSON
ejpam-445	139	3	d. hilbert	PERSON
ejpam-445	139	4	1	CARDINAL
ejpam-445	139	5	new york	GPE
ejpam-445	139	6	122	CARDINAL
ejpam-445	139	7	1955	DATE
ejpam-445	140	1	2	CARDINAL
ejpam-445	140	2	i. daubechies	PERSON
ejpam-445	142	1	41	CARDINAL
ejpam-445	142	2	909-996	PRODUCT
ejpam-445	143	1	1988	DATE
ejpam-445	144	1	3	CARDINAL
ejpam-445	144	2	i. daubechies	PERSON
ejpam-445	146	1	36	DATE
ejpam-445	146	2	961-1005	DATE
ejpam-445	147	1	1990	DATE
ejpam-445	148	1	4	CARDINAL
ejpam-445	148	2	i. daubechies	PERSON
ejpam-445	148	3	ten	CARDINAL
ejpam-445	148	4	nsf	NORP
ejpam-445	148	5	61	CARDINAL
ejpam-445	148	6	siam	GPE
ejpam-445	148	7	pennsylvania	GPE
ejpam-445	148	8	1992	DATE
ejpam-445	149	1	5	CARDINAL
ejpam-445	149	2	devendra kumar	PERSON
ejpam-445	149	3	indian	NORP
ejpam-445	150	1	6	CARDINAL
ejpam-445	150	2	r.j. duffin	PERSON
ejpam-445	150	3	a.c. schaeffer	ORG
ejpam-445	150	4	nonharmonic fourir series	ORG
ejpam-445	150	5	amer	PERSON
ejpam-445	152	1	72	DATE
ejpam-445	152	2	341	CARDINAL
ejpam-445	153	1	1952	DATE
ejpam-445	154	1	724	CARDINAL
ejpam-445	154	2	landau	PERSON
ejpam-445	154	3	h.o. pollak	PERSON
ejpam-445	154	4	bell system tech	ORG
ejpam-445	155	1	j. 40	PERSON
ejpam-445	156	1	65-84	CARDINAL
ejpam-445	158	1	8	CARDINAL
ejpam-445	158	2	landau	PERSON
ejpam-445	158	3	h.o. pollak	PERSON
ejpam-445	158	4	bell system tech	ORG
ejpam-445	159	1	j. 41	PERSON
ejpam-445	160	1	1295-1336	CARDINAL
ejpam-445	161	1	1982	DATE
ejpam-445	162	1	9	CARDINAL
ejpam-445	162	2	f. moricz	PERSON
ejpam-445	162	3	b.e.	GPE
ejpam-445	164	1	36	CARDINAL
ejpam-445	164	2	1989	DATE
ejpam-445	165	1	10	CARDINAL
ejpam-445	165	2	g.m. robinson	PERSON
ejpam-445	165	3	amer	PERSON
ejpam-445	167	1	28, 5073.	DATE
ejpam-445	168	1	1926	DATE
ejpam-445	169	1	11	CARDINAL
ejpam-445	169	2	shannon	FAC
ejpam-445	169	3	37	DATE
ejpam-445	169	4	10	CARDINAL
ejpam-445	169	5	1949	DATE
ejpam-445	170	1	12	CARDINAL
ejpam-445	170	2	d. slepian	NORP
ejpam-445	170	3	h.o. pollak	PERSON
ejpam-445	170	4	i. bell system tech	PERSON
ejpam-445	171	1	j. 40	PERSON
ejpam-445	171	2	43-64	DATE
ejpam-445	172	1	13	CARDINAL
ejpam-445	172	2	d. slepian	NORP
ejpam-445	172	3	bell system tech	ORG
ejpam-445	173	1	j. 43	PERSON
ejpam-445	173	2	3009	CARDINAL
ejpam-445	173	3	1964	DATE
ejpam-445	174	1	14	CARDINAL
ejpam-445	174	2	d. slepian	NORP
ejpam-445	174	3	siam review	ORG
ejpam-445	174	4	25	CARDINAL
ejpam-445	174	5	379	CARDINAL
ejpam-445	174	6	1983	DATE
ejpam-445	175	1	15	CARDINAL
ejpam-445	175	2	xiaoping shen	PERSON
ejpam-445	175	3	10	CARDINAL
ejpam-445	175	4	1	CARDINAL
ejpam-445	175	5	1	CARDINAL