id	sid	eid	entity	type
asir-3636	1	1	2474-4972	CARDINAL
asir-3636	1	2	issn 2474-4980	PERSON
asir-3636	2	1	5	CARDINAL
asir-3636	2	2	1	CARDINAL
asir-3636	2	3	2021	CARDINAL
asir-3636	2	4	algebras of series	EVENT
asir-3636	2	5	musa siddig1*	PERSON
asir-3636	2	6	hussein2 &	ORG
asir-3636	2	7	elseid3 1	ORG
asir-3636	2	8	university of kordofan	ORG
asir-3636	2	9	sudan 2	ORG
asir-3636	2	10	sudan university of science	ORG
asir-3636	2	11	sudan 3	ORG
asir-3636	2	12	aldayer university college	ORG
asir-3636	2	13	saudi arabia	GPE
asir-3636	2	14	university of kordofan	ORG
asir-3636	2	15	sudan	GPE
asir-3636	2	16	december 31, 2020	DATE
asir-3636	2	17	january 16	DATE
asir-3636	2	18	2021	CARDINAL
asir-3636	2	19	january 22	DATE
asir-3636	2	20	2021	CARDINAL
asir-3636	2	21	doi:10.22158/asir.v5n1p20	ORG
asir-3636	3	1	𝒜𝛼𝑗 2	PERSON
asir-3636	3	2	2	CARDINAL
asir-3636	3	3	brahim bouya	PERSON
asir-3636	3	4	2008	DATE
asir-3636	3	5	𝒜𝛼𝑗 2	FAC
asir-3636	3	6	besov algebras	PERSON
asir-3636	3	7	beurling-rudin	PERSON
asir-3636	3	8	1	CARDINAL
asir-3636	4	1	2	CARDINAL
asir-3636	5	1	∑ 𝑗 |(𝑓𝑗 2	PERSON
asir-3636	6	1	1 𝜋	CARDINAL
asir-3636	6	2	1	CARDINAL
asir-3636	6	3	2	CARDINAL
asir-3636	6	4	1 2𝜋	CARDINAL
asir-3636	7	1	2(𝑒𝑖𝑡 2	DATE
asir-3636	7	2	2	CARDINAL
asir-3636	8	1	2𝜋	CARDINAL
asir-3636	9	1	0	CARDINAL
asir-3636	9	2	2 ≤ 1	DATE
asir-3636	9	3	2	CARDINAL
asir-3636	9	4	2	CARDINAL
asir-3636	9	5	2	CARDINAL
asir-3636	10	1	5	CARDINAL
asir-3636	10	2	1	CARDINAL
asir-3636	10	3	2021 21	DATE
asir-3636	10	4	scholink inc	ORG
asir-3636	11	1	2(𝑧	CARDINAL
asir-3636	11	2	2(𝑧	CARDINAL
asir-3636	11	3	0	CARDINAL
asir-3636	13	1	2−1	CARDINAL
asir-3636	13	2	1−	TIME
asir-3636	14	1	2	CARDINAL
asir-3636	14	2	2	CARDINAL
asir-3636	15	1	2‖ ∞ 𝑗	QUANTITY
asir-3636	16	1	|𝑧|)1−𝛼𝑗	ORG
asir-3636	18	1	2‖ ∞𝑗	PERSON
asir-3636	18	2	∶=	ORG
asir-3636	18	3	2(𝑧)|𝑗	GPE
asir-3636	19	1	2 ≤ 1 4	QUANTITY
asir-3636	19	2	2	CARDINAL
asir-3636	19	3	⊂	GPE
asir-3636	19	4	2 ≤ 1	DATE
asir-3636	20	1	2 ≤ 1 4	QUANTITY
asir-3636	20	2	2	CARDINAL
asir-3636	21	1	2‖ 𝒜 αj	PERSON
asir-3636	21	2	2	CARDINAL
asir-3636	21	3	∶=	ORG
asir-3636	21	4	2‖	CARDINAL
asir-3636	21	5	2𝑗	CARDINAL
asir-3636	21	6	1 2(𝑓𝑗 2)𝑗	DATE
asir-3636	21	7	2	CARDINAL
asir-3636	21	8	2	CARDINAL
asir-3636	22	1	nevanlinna	LOC
asir-3636	23	1	2	CARDINAL
asir-3636	23	2	2𝑈𝑓𝑗 2𝑂𝑓𝑗 2	DATE
asir-3636	23	3	𝐶𝑓𝑗 2	ORG
asir-3636	23	4	1	CARDINAL
asir-3636	23	5	2(𝑧	CARDINAL
asir-3636	23	6	1 2𝜋	CARDINAL
asir-3636	23	7	2𝜋	CARDINAL
asir-3636	23	8	2 +	DATE
asir-3636	23	9	2	CARDINAL
asir-3636	23	10	2(𝑒𝑖𝜃 2	CARDINAL
asir-3636	25	1	1988	DATE
asir-3636	26	1	carleson	ORG
asir-3636	26	2	1960	DATE
asir-3636	26	3	2	CARDINAL
asir-3636	26	4	2	CARDINAL
asir-3636	26	5	2/𝑈	PRODUCT
asir-3636	26	6	2/𝑈‖	CARDINAL
asir-3636	26	7	2	CARDINAL
asir-3636	26	8	2	CARDINAL
asir-3636	26	9	𝐶𝛼𝑗 2	PERSON
asir-3636	26	10	2	CARDINAL
asir-3636	26	11	korenblum	PERSON
asir-3636	26	12	1972	DATE
asir-3636	26	13	𝐻1 2 of	ORG
asir-3636	26	14	2	CARDINAL
asir-3636	27	1	matheson	ORG
asir-3636	27	2	1978	DATE
asir-3636	27	3	2	CARDINAL
asir-3636	27	4	1994	DATE
asir-3636	27	5	2	CARDINAL
asir-3636	27	6	2𝜖)1	CARDINAL
asir-3636	28	1	2)(𝑛)((𝑧	CARDINAL
asir-3636	28	2	2𝜖)1	CARDINAL
asir-3636	28	3	𝜖)|𝑗	CARDINAL
asir-3636	29	1	shirokov	PERSON
asir-3636	29	2	1982, 1988	DATE
asir-3636	29	3	besov algebras	PERSON
asir-3636	29	4	0	CARDINAL
asir-3636	30	1	5	CARDINAL
asir-3636	30	2	1	CARDINAL
asir-3636	30	3	2021 22	CARDINAL
asir-3636	30	4	scholink inc	ORG
asir-3636	30	5	𝐴𝐵2,2	ORG
asir-3636	30	6	1 2 +	DATE
asir-3636	30	7	2	CARDINAL
asir-3636	30	8	2̂(𝑛)| 2	QUANTITY
asir-3636	30	9	1 +	DATE
asir-3636	31	1	𝐴𝐵2,2	ORG
asir-3636	31	2	1 2	CARDINAL
asir-3636	31	3	hedenmalm & shields	ORG
asir-3636	31	4	1990	DATE
asir-3636	31	5	2006	DATE
asir-3636	32	1	brahim bouya	PERSON
asir-3636	32	2	2008	DATE
asir-3636	32	3	𝒜αj 2	FAC
asir-3636	32	4	hoffman	PERSON
asir-3636	32	5	1988	DATE
asir-3636	32	6	brahim bouya	PERSON
asir-3636	32	7	2008	DATE
asir-3636	32	8	1.1	CARDINAL
asir-3636	32	9	𝒜αj 2	FAC
asir-3636	32	10	2	CARDINAL
asir-3636	32	11	2	CARDINAL
asir-3636	32	12	2)∖𝐸𝔗	CARDINAL
asir-3636	32	13	0	CARDINAL
asir-3636	32	14	0	CARDINAL
asir-3636	32	15	2	CARDINAL
asir-3636	32	16	𝑈𝔗	ORG
asir-3636	32	17	domar	PERSON
asir-3636	33	1	𝒜αj 2	FAC
asir-3636	33	2	𝑈𝔗	ORG
asir-3636	34	1	1	CARDINAL
asir-3636	35	1	𝑍𝔗 = 𝐸𝔗	ORG
asir-3636	35	2	𝑍𝔗	ORG
asir-3636	35	3	∈	ORG
asir-3636	35	4	2(𝑧	CARDINAL
asir-3636	35	5	0	CARDINAL
asir-3636	35	6	2	CARDINAL
asir-3636	36	1	2	CARDINAL
asir-3636	36	2	2(𝜉)|𝑗 ≤ ∑	QUANTITY
asir-3636	36	3	𝑀αj 2	PERSON
asir-3636	36	4	𝒜αj 2	FAC
asir-3636	36	5	2	CARDINAL
asir-3636	37	1	1.1	CARDINAL
asir-3636	37	2	1.2	CARDINAL
asir-3636	37	3	0	CARDINAL
asir-3636	37	4	𝒜αj 2	FAC
asir-3636	37	5	zeros	CARDINAL
asir-3636	38	1	1.2	CARDINAL
asir-3636	38	2	2	CARDINAL
asir-3636	38	3	0	CARDINAL
asir-3636	39	1	2(𝑔𝑗	DATE
asir-3636	39	2	2‖ 𝒜	PERSON
asir-3636	39	3	2	CARDINAL
asir-3636	39	4	0	CARDINAL
asir-3636	39	5	2)(𝜉)|𝑗 ≤	QUANTITY
asir-3636	39	6	1+𝜖	CARDINAL
asir-3636	39	7	∈	ORG
asir-3636	40	1	2	CARDINAL
asir-3636	40	2	∶=	ORG
asir-3636	40	3	∈	ORG
asir-3636	40	4	2(𝜉)𝑗	CARDINAL
asir-3636	40	5	0	CARDINAL
asir-3636	42	1	5	CARDINAL
asir-3636	42	2	1	CARDINAL
asir-3636	42	3	2021 23	CARDINAL
asir-3636	42	4	scholink inc.	ORG
asir-3636	42	5	korenblum	ORG
asir-3636	42	6	1972	DATE
asir-3636	42	7	matheson	ORG
asir-3636	42	8	1978	DATE
asir-3636	42	9	1994	DATE
asir-3636	42	10	shirokov	ORG
asir-3636	42	11	1982	DATE
asir-3636	42	12	shirokov	ORG
asir-3636	42	13	1988	DATE
asir-3636	43	1	2	CARDINAL
asir-3636	43	2	∶=	ORG
asir-3636	43	3	𝕋 \𝐸𝑓𝑗 2	ORG
asir-3636	44	1	less than 1 2	CARDINAL
asir-3636	45	1	γ the union	ORG
asir-3636	45	2	2	CARDINAL
asir-3636	45	3	1 2𝜋	CARDINAL
asir-3636	45	4	2	CARDINAL
asir-3636	46	1	2	CARDINAL
asir-3636	46	2	2(𝑒𝑖𝜃 2	CARDINAL
asir-3636	47	1	1.2	CARDINAL
asir-3636	47	2	2.1	CARDINAL
asir-3636	47	3	2	CARDINAL
asir-3636	47	4	2‖ 𝒜 αj	PERSON
asir-3636	47	5	2	CARDINAL
asir-3636	47	6	0	CARDINAL
asir-3636	48	1	2(1+𝜖	CARDINAL
asir-3636	48	2	2(1+𝜖	DATE
asir-3636	49	1	2(1+𝜖	CARDINAL
asir-3636	49	2	2(1+𝜖	CARDINAL
asir-3636	49	3	2	CARDINAL
asir-3636	49	4	1	CARDINAL
asir-3636	49	5	𝐶1+𝜖,1+𝜖	DATE
asir-3636	49	6	2.2	CARDINAL
asir-3636	49	7	𝑆 ⊂ 𝐴(𝔻	ORG
asir-3636	49	8	2	CARDINAL
asir-3636	49	9	2.1	CARDINAL
asir-3636	49	10	2(1+𝜖)(𝑓𝑗)γn 2(1+𝜖	CARDINAL
asir-3636	49	11	2(1+𝜖	CARDINAL
asir-3636	50	1	2.1	CARDINAL
asir-3636	50	2	hilbertian	NORP
asir-3636	50	3	2)𝑛 ∈	ORG
asir-3636	50	4	2(1+𝜖)(𝑓𝑗)γ1+𝜖	CARDINAL
asir-3636	50	5	2(1+𝜖	CARDINAL
asir-3636	50	6	1978	DATE
asir-3636	50	7	section 4	LAW
asir-3636	50	8	2)𝑛	CARDINAL
asir-3636	50	9	2(1+𝜖	CARDINAL
asir-3636	50	10	2	CARDINAL
asir-3636	51	1	∑ ‖(ℎ𝑗 2)𝑛	ORG
asir-3636	51	2	2(1+𝜖	CARDINAL
asir-3636	51	3	0𝑗	DATE
asir-3636	51	4	𝒥(𝐹	PERSON
asir-3636	51	5	𝒜αj 2	FAC
asir-3636	52	1	1.2	CARDINAL
asir-3636	52	2	brahim bouya	PERSON
asir-3636	52	3	2008	DATE
asir-3636	52	4	1978	DATE
asir-3636	52	5	4	CARDINAL
asir-3636	52	6	1972	DATE
asir-3636	52	7	24	CARDINAL
asir-3636	53	1	2.3	CARDINAL
asir-3636	53	2	2	CARDINAL
asir-3636	53	3	2|𝐸′𝑗	CARDINAL
asir-3636	53	4	0	CARDINAL
asir-3636	56	1	2	CARDINAL
asir-3636	56	2	2‖ 𝒜	PERSON
asir-3636	56	3	2 𝑗 ≤	QUANTITY
asir-3636	56	4	|𝐹(𝜉)| ≤	QUANTITY
asir-3636	58	1	5	CARDINAL
asir-3636	58	2	1	CARDINAL
asir-3636	58	3	2021 24	DATE
asir-3636	58	4	scholink inc.	ORG
asir-3636	58	5	1.2	CARDINAL
asir-3636	58	6	1.2	CARDINAL
asir-3636	58	7	2.1	CARDINAL
asir-3636	58	8	2.3	CARDINAL
asir-3636	58	9	2	CARDINAL
asir-3636	58	10	2‖ 𝒜 αj	PERSON
asir-3636	58	11	2	CARDINAL
asir-3636	58	12	0	CARDINAL
asir-3636	59	1	2𝑂	CARDINAL
asir-3636	59	2	2	CARDINAL
asir-3636	61	1	2 1 1+𝜖	CARDINAL
asir-3636	61	2	2	CARDINAL
asir-3636	61	3	2)′	PRODUCT
asir-3636	61	4	1 1+𝜖	CARDINAL
asir-3636	61	5	2 ′	DATE
asir-3636	62	1	2	CARDINAL
asir-3636	62	2	𝑂𝑓𝑗 2 ∈ 𝒜αj 2	LAW
asir-3636	63	1	2𝑂	CARDINAL
asir-3636	63	2	2‖ 𝒜	PERSON
asir-3636	63	3	2	CARDINAL
asir-3636	63	4	3	CARDINAL
asir-3636	64	1	𝛤𝑛 = ∪1+𝜖≥𝑛	PERSON
asir-3636	64	2	𝛾1+𝜖	PERSON
asir-3636	64	3	2 ≤ 1	QUANTITY
asir-3636	65	1	2.2	CARDINAL
asir-3636	65	2	𝑂𝑓𝑗 2	ORG
asir-3636	65	3	0	CARDINAL
asir-3636	65	4	∈	ORG
asir-3636	66	1	1+𝜖	CARDINAL
asir-3636	66	2	2 2+𝜖	CARDINAL
asir-3636	66	3	1+𝜖‖	CARDINAL
asir-3636	67	1	2 1 1+𝜖(𝑓𝑗	QUANTITY
asir-3636	69	1	2 1 1+𝜖‖	DATE
asir-3636	69	2	∞𝑗	PERSON
asir-3636	70	1	2 1 1+𝜖	QUANTITY
asir-3636	70	2	∞𝑗	PERSON
asir-3636	71	1	∈	ORG
asir-3636	71	2	2(1+𝜖	CARDINAL
asir-3636	71	3	2 2+𝜖	CARDINAL
asir-3636	71	4	1+𝜖‖	CARDINAL
asir-3636	71	5	2	CARDINAL
asir-3636	71	6	2 1 1+𝜖	DATE
asir-3636	73	1	2𝑂	CARDINAL
asir-3636	73	2	2𝑂	CARDINAL
asir-3636	73	3	2 1 1+𝜖)𝑗 ′	DATE
asir-3636	76	1	2 ′	DATE
asir-3636	77	1	𝑂𝑓𝑗 2 1 1+𝜖)𝑗	DATE
asir-3636	78	1	2 2+𝜖	CARDINAL
asir-3636	78	2	2	CARDINAL
asir-3636	79	1	∑	PERSON
asir-3636	79	2	2‖ 𝒜	PERSON
asir-3636	79	3	2	CARDINAL
asir-3636	79	4	2𝑗 ≤ ∑ 𝐶αj 2𝑗	QUANTITY
asir-3636	80	1	2𝑂	CARDINAL
asir-3636	80	2	2𝑂	CARDINAL
asir-3636	80	3	2 1 1+𝜖‖	DATE
asir-3636	80	4	2 ∑	QUANTITY
asir-3636	81	1	2𝑂	CARDINAL
asir-3636	81	2	2𝑂	CARDINAL
asir-3636	81	3	2 1 1+𝜖‖	DATE
asir-3636	82	1	1	CARDINAL
asir-3636	82	2	2 1 1+𝜖	DATE
asir-3636	82	3	2𝑂	CARDINAL
asir-3636	82	4	1 2	CARDINAL
asir-3636	82	5	2𝑂	CARDINAL
asir-3636	82	6	2𝑂	CARDINAL
asir-3636	83	1	2𝑂	CARDINAL
asir-3636	83	2	2𝑂	CARDINAL
asir-3636	83	3	2 1	DATE
asir-3636	83	4	2	CARDINAL
asir-3636	83	5	2 1 1+𝜖	QUANTITY
asir-3636	84	1	5	CARDINAL
asir-3636	84	2	1	CARDINAL
asir-3636	84	3	2021 25	DATE
asir-3636	84	4	scholink inc.	ORG
asir-3636	84	5	1	CARDINAL
asir-3636	84	6	− |𝑧|)1−αj 2	PERSON
asir-3636	85	1	2 2+𝜖	CARDINAL
asir-3636	86	1	2 1 1+𝜖	DATE
asir-3636	86	2	1 2(𝑓𝑗	CARDINAL
asir-3636	86	3	2	CARDINAL
asir-3636	86	4	2 1 1+𝜖	DATE
asir-3636	86	5	2 2+𝜖	CARDINAL
asir-3636	86	6	1+𝜖‖	CARDINAL
asir-3636	86	7	2 𝑗 ≤ ∑ 𝐶	QUANTITY
asir-3636	86	8	2 1+𝜖𝑗	DATE
asir-3636	87	1	2𝑂	CARDINAL
asir-3636	87	2	2 1 1+𝜖	DATE
asir-3636	87	3	2𝑂	CARDINAL
asir-3636	87	4	2 1 1+𝜖‖	DATE
asir-3636	87	5	2𝑗	CARDINAL
asir-3636	88	1	∑ ∑ 𝑐𝑖𝑓γ𝑖 2(1+𝜖	PERSON
asir-3636	88	2	1.𝑖≤𝑗1+𝜖	CARDINAL
asir-3636	90	1	2.3	CARDINAL
asir-3636	92	1	∈ 𝑇	WORK_OF_ART
asir-3636	92	2	2𝑂	CARDINAL
asir-3636	92	3	2𝑗	CARDINAL
asir-3636	92	4	1	CARDINAL
asir-3636	93	1	2𝑂	CARDINAL
asir-3636	93	2	2𝑂	CARDINAL
asir-3636	93	3	2𝑗	CARDINAL
asir-3636	97	1	2‖ 𝒜	PERSON
asir-3636	97	2	2𝑗	CARDINAL
asir-3636	98	1	2 1 1+𝜖	CARDINAL
asir-3636	98	2	1+𝜖	CARDINAL
asir-3636	99	1	∑	PERSON
asir-3636	99	2	2 1 1+𝜖	DATE
asir-3636	99	3	𝑘1+𝜖𝐹1+𝜖𝑗	PERSON
asir-3636	99	4	1.2	CARDINAL
asir-3636	100	1	3	CARDINAL
asir-3636	100	2	domar	PERSON
asir-3636	100	3	𝒜αj 2 ⊂	ORG
asir-3636	100	4	2	CARDINAL
asir-3636	100	5	2	CARDINAL
asir-3636	100	6	2	CARDINAL
asir-3636	100	7	1	CARDINAL
asir-3636	100	8	2	CARDINAL
asir-3636	100	9	𝐵𝑓𝑗 2	LAW
asir-3636	100	10	zeros	CARDINAL
asir-3636	101	1	2\𝐸𝑓𝑗 2	DATE
asir-3636	101	2	𝑍𝑓𝑗 2 ∶=	ORG
asir-3636	101	3	∈	ORG
asir-3636	102	1	brahim bouya	PERSON
asir-3636	102	2	2008	DATE
asir-3636	103	1	3.1	CARDINAL
asir-3636	103	2	𝒜αj 2	FAC
asir-3636	103	3	zeros	CARDINAL
asir-3636	103	4	2	CARDINAL
asir-3636	103	5	𝐵𝑓𝑗 2	LAW
asir-3636	104	1	zeros	CARDINAL
asir-3636	104	2	∈ 𝔻 ∶ |𝑧|	ORG
asir-3636	105	1	∑	PERSON
asir-3636	105	2	2/𝐾𝑛𝑗	DATE
asir-3636	106	1	5	CARDINAL
asir-3636	106	2	1	CARDINAL
asir-3636	106	3	2021 26	CARDINAL
asir-3636	106	4	scholink inc.	ORG
asir-3636	106	5	zeros	CARDINAL
asir-3636	108	1	𝜋 ∶ 𝒜αj 2	ORG
asir-3636	108	2	2/𝔗	CARDINAL
asir-3636	109	1	first	ORDINAL
asir-3636	110	1	0	CARDINAL
asir-3636	110	2	∶=	ORG
asir-3636	110	3	2	CARDINAL
asir-3636	110	4	2	CARDINAL
asir-3636	110	5	2𝐼𝑛	CARDINAL
asir-3636	111	1	𝒥𝑧−𝜖	ORG
asir-3636	112	1	∉ 𝑍𝒥𝑧−𝜖	ORG
asir-3636	112	2	2/𝒥𝑧−𝜖	CARDINAL
asir-3636	113	1	2	CARDINAL
asir-3636	115	1	2	CARDINAL
asir-3636	115	2	2	CARDINAL
asir-3636	116	1	𝑧)|	CARDINAL
asir-3636	116	2	1	CARDINAL
asir-3636	116	3	2	CARDINAL
asir-3636	116	4	∈ 𝔻	ORG
asir-3636	116	5	1978	DATE
asir-3636	116	6	1	CARDINAL
asir-3636	116	7	2	CARDINAL
asir-3636	117	1	2‖𝑗	CARDINAL
asir-3636	117	2	2	CARDINAL
asir-3636	117	3	0	CARDINAL
asir-3636	118	1	2	CARDINAL
asir-3636	118	2	1 2𝜋𝑖	CARDINAL
asir-3636	118	3	2(𝑧	CARDINAL
asir-3636	118	4	2𝜖)𝐾𝑛(𝑧	CARDINAL
asir-3636	118	5	2𝜖)̅̅	ORDINAL
asir-3636	119	1	𝕋 𝑑(𝑧 − 2	ORG
asir-3636	119	2	1 2𝜋𝑖	CARDINAL
asir-3636	119	3	𝑔𝑗 2(𝑧	CARDINAL
asir-3636	119	4	2𝜖	CARDINAL
asir-3636	120	1	2(𝑧	CARDINAL
asir-3636	120	2	2𝜖)̅̅	ORDINAL
asir-3636	120	3	𝕋 𝑑(𝑧 − 2𝜖	ORG
asir-3636	120	4	∈ 𝔻	ORG
asir-3636	121	1	1	CARDINAL
asir-3636	121	2	2	CARDINAL
asir-3636	122	1	2𝜋	CARDINAL
asir-3636	122	2	2(𝑧	CARDINAL
asir-3636	122	3	2𝜖	CARDINAL
asir-3636	123	1	2𝜖)|	CARDINAL
asir-3636	123	2	1 2𝜋	CARDINAL
asir-3636	123	3	2(𝑒𝑖(𝑡 2+𝜃2	DATE
asir-3636	124	1	2𝜖	CARDINAL
asir-3636	124	2	1	CARDINAL
asir-3636	124	3	1	CARDINAL
asir-3636	124	4	− 𝜖)2 𝑗 𝜋	PERSON
asir-3636	124	5	𝑑𝑡2	DATE
asir-3636	125	1	0	CARDINAL
asir-3636	126	1	2(𝑒𝑖(𝑡 2+𝜃2	DATE
asir-3636	128	1	2	CARDINAL
asir-3636	128	2	∈	ORG
asir-3636	131	1	5	CARDINAL
asir-3636	131	2	1	CARDINAL
asir-3636	131	3	2021 27	DATE
asir-3636	131	4	scholink inc.	ORG
asir-3636	132	1	2(𝑒𝑖(𝑡 2+𝜃2	DATE
asir-3636	134	1	2𝜖	CARDINAL
asir-3636	134	2	1	CARDINAL
asir-3636	134	3	1	CARDINAL
asir-3636	134	4	− 𝜖)2 𝑗 𝜋	PERSON
asir-3636	134	5	𝑑𝑡2 ≤	DATE
asir-3636	134	6	2	CARDINAL
asir-3636	136	1	2‖	CARDINAL
asir-3636	136	2	2	CARDINAL
asir-3636	136	3	2	CARDINAL
asir-3636	137	1	𝑑𝑡2 ≤∑	TIME
asir-3636	137	2	2	CARDINAL
asir-3636	137	3	2 1 +	DATE
asir-3636	137	4	2𝑢	CARDINAL
asir-3636	139	1	2‖	CARDINAL
asir-3636	139	2	2	CARDINAL
asir-3636	139	3	2	CARDINAL
asir-3636	139	4	2 1 +	DATE
asir-3636	139	5	2𝑢	CARDINAL
asir-3636	139	6	1	CARDINAL
asir-3636	139	7	2	CARDINAL
asir-3636	140	1	2‖	CARDINAL
asir-3636	140	2	2𝑂	CARDINAL
asir-3636	140	3	1	CARDINAL
asir-3636	140	4	2	CARDINAL
asir-3636	141	1	2𝜖−1	CARDINAL
asir-3636	141	2	𝑑𝑡2 ≤ ∑	QUANTITY
asir-3636	141	3	2‖	CARDINAL
asir-3636	142	1	2𝑂	CARDINAL
asir-3636	142	2	1	CARDINAL
asir-3636	143	1	2	CARDINAL
asir-3636	143	2	2	CARDINAL
asir-3636	144	1	2‖	CARDINAL
asir-3636	145	1	2𝑂	CARDINAL
asir-3636	145	2	1	CARDINAL
asir-3636	145	3	2	CARDINAL
asir-3636	145	4	∈ 𝔻	ORG
asir-3636	146	1	𝒜αj 2	FAC
asir-3636	146	2	2	CARDINAL
asir-3636	146	3	2	CARDINAL
asir-3636	146	4	2	CARDINAL
asir-3636	147	1	2)𝑛 ∈	ORG
asir-3636	147	2	2	CARDINAL
asir-3636	147	3	2	CARDINAL
asir-3636	147	4	∈	ORG
asir-3636	147	5	2‖	CARDINAL
asir-3636	147	6	2𝑗	CARDINAL
asir-3636	147	7	0	CARDINAL
asir-3636	148	1	2‖	CARDINAL
asir-3636	148	2	2	CARDINAL
asir-3636	148	3	0	CARDINAL
asir-3636	149	1	2	CARDINAL
asir-3636	150	1	2	CARDINAL
asir-3636	151	1	2	CARDINAL
asir-3636	151	2	1	CARDINAL
asir-3636	151	3	∑ 𝑂	PERSON
asir-3636	151	4	1	CARDINAL
asir-3636	151	5	2)𝑗	CARDINAL
asir-3636	152	1	1.2	CARDINAL
asir-3636	152	2	1.1	CARDINAL
asir-3636	152	3	𝒜αj 2	FAC
asir-3636	153	1	brahim bouya	PERSON
asir-3636	153	2	2008	DATE
asir-3636	154	1	1.1	CARDINAL
asir-3636	154	2	𝜋 ∶ 𝒜αj 2	ORG
asir-3636	154	3	2/𝔗	CARDINAL
asir-3636	155	1	2	CARDINAL
asir-3636	155	2	2/𝑈𝔗	CARDINAL
asir-3636	155	3	2)𝑛	ORG
asir-3636	155	4	1.2	CARDINAL
asir-3636	155	5	2	CARDINAL
asir-3636	155	6	2	CARDINAL
asir-3636	156	1	2)𝑛	PRODUCT
asir-3636	156	2	2(𝑔𝑗 2)𝑛	DATE
asir-3636	156	3	∑ |(𝑔𝑗 2	ORG
asir-3636	156	4	𝜉)|𝑗 ≤ ∑	FAC
asir-3636	156	5	2)𝑗	CARDINAL
asir-3636	160	1	5	CARDINAL
asir-3636	160	2	1	CARDINAL
asir-3636	160	3	2021 28	CARDINAL
asir-3636	160	4	scholink inc.	ORG
asir-3636	160	5	2)(𝑧	CARDINAL
asir-3636	160	6	2(𝑧	CARDINAL
asir-3636	160	7	2(𝜆	CARDINAL
asir-3636	161	1	∑ 𝜋(𝑓𝑗 2)(𝜋(𝛾	GPE
asir-3636	163	1	2(𝜆)(𝜋(𝛾	CARDINAL
asir-3636	165	1	3	CARDINAL
asir-3636	165	2	𝜋(𝛾	PERSON
asir-3636	166	1	𝑧0 ∈ 𝑍𝔗	ORG
asir-3636	166	2	𝜋(𝛾	PERSON
asir-3636	166	3	−1	DATE
asir-3636	166	4	zero	CARDINAL
asir-3636	166	5	𝑧0	PRODUCT
asir-3636	166	6	𝑈𝔗	ORG
asir-3636	166	7	2	CARDINAL
asir-3636	166	8	3	CARDINAL
asir-3636	166	9	∑ 𝜋(𝑓𝑗 2)(𝜋(𝛾	GPE
asir-3636	167	1	1	CARDINAL
asir-3636	168	1	2	CARDINAL
asir-3636	168	2	2‖ 𝒜 αj	PERSON
asir-3636	168	3	2	CARDINAL
asir-3636	168	4	2	CARDINAL
asir-3636	168	5	2‖ 𝒜 αj	PERSON
asir-3636	168	6	2	CARDINAL
asir-3636	168	7	3 2	CARDINAL
asir-3636	169	1	4	CARDINAL
asir-3636	169	2	3.1	CARDINAL
asir-3636	169	3	𝐵𝑔𝑗 2	FAC
asir-3636	170	1	2(𝑔𝑗 2/𝐵𝑔𝑗 2)𝑗	DATE
asir-3636	171	1	∈	ORG
asir-3636	171	2	1	CARDINAL
asir-3636	171	3	𝑘(𝜆)(𝜋(𝛾	PERSON
asir-3636	174	1	2 𝑗 ≤ ∑	QUANTITY
asir-3636	176	1	2𝑗 + ∑ ‖𝐿𝜆(𝑓𝑗 2)‖	QUANTITY
asir-3636	176	2	2	CARDINAL
asir-3636	176	3	2	CARDINAL
asir-3636	176	4	2/𝐵	DATE
asir-3636	176	5	2|(𝜆	DATE
asir-3636	177	1	2	CARDINAL
asir-3636	177	2	𝐶(𝑓𝑗	GPE
asir-3636	177	3	1−|𝜆|)|𝑔𝑗	CARDINAL
asir-3636	177	4	2|(𝜆	DATE
asir-3636	177	5	2, 𝑘)𝑒	TIME
asir-3636	177	6	1−|𝜆|	ORG
asir-3636	177	7	|𝜆|	ORG
asir-3636	177	8	1	CARDINAL
asir-3636	178	1	5	CARDINAL
asir-3636	178	2	taylor & williams,1970	ORG
asir-3636	178	3	5.8	CARDINAL
asir-3636	178	4	5.9	CARDINAL
asir-3636	178	5	∑‖𝜋(𝑓𝑗	NORP
asir-3636	178	6	2)(𝜋(𝛾	CARDINAL
asir-3636	179	1	3	CARDINAL
asir-3636	179	2	1 ≤ |𝜉| ≤ 2	QUANTITY
asir-3636	179	3	𝜉 ∉ 𝐸𝔗	ORG
asir-3636	180	1	⟼	ORG
asir-3636	181	1	∈	PRODUCT
asir-3636	182	1	esterle	ORG
asir-3636	182	2	strouse, & zouakia	ORG
asir-3636	182	3	1994	DATE
asir-3636	182	4	lemma 2.4	ORG
asir-3636	183	1	1 2𝜋𝑖	CARDINAL
asir-3636	183	2	∑((𝑔𝑗 2)𝑛	ORG
asir-3636	184	1	2	CARDINAL
asir-3636	184	2	2)∖𝐸𝔗	CARDINAL
asir-3636	184	3	0	CARDINAL
asir-3636	184	4	2	CARDINAL
asir-3636	185	1	1988	DATE
asir-3636	185	2	81	CARDINAL
asir-3636	185	3	∈	ORG
asir-3636	186	1	∈	ORG
asir-3636	186	2	1	CARDINAL
asir-3636	187	1	0	CARDINAL
asir-3636	187	2	2	CARDINAL
asir-3636	187	3	lim𝑛→∞∑ |(𝑔𝑗 2)𝑛	ORG
asir-3636	187	4	𝜉)|𝑗 = ∑ |(𝑔𝑗 2)|	ORG
asir-3636	189	1	5	CARDINAL
asir-3636	189	2	1	CARDINAL
asir-3636	189	3	2021 29	DATE
asir-3636	189	4	scholink inc.	ORG
asir-3636	189	5	4.	CARDINAL
asir-3636	190	1	2.1	CARDINAL
asir-3636	190	2	2.1	CARDINAL
asir-3636	191	1	𝐶1+𝜖	PERSON
asir-3636	191	2	1 +	DATE
asir-3636	192	1	2)′‖	CARDINAL
asir-3636	192	2	2	CARDINAL
asir-3636	192	3	2)′(𝑧)| 2 𝑑𝐴(𝑧	QUANTITY
asir-3636	193	1	brahim bouya	PERSON
asir-3636	193	2	2008	DATE
asir-3636	194	1	4.1	CARDINAL
asir-3636	194	2	2	CARDINAL
asir-3636	194	3	2‖ 𝒜 αj	PERSON
asir-3636	194	4	2	CARDINAL
asir-3636	195	1	2(1+𝜖	CARDINAL
asir-3636	195	2	𝑑(𝑒𝑖𝑡 2	DATE
asir-3636	196	1	2	CARDINAL
asir-3636	196	2	2	CARDINAL
asir-3636	196	3	𝑑(𝑧	ORG
asir-3636	196	4	− 𝑎|	ORG
asir-3636	196	5	∈	ORG
asir-3636	197	1	2 ∈	CARDINAL
asir-3636	197	2	∶=	ORG
asir-3636	197	3	1	CARDINAL
asir-3636	198	1	1/2	CARDINAL
asir-3636	198	2	1 2	CARDINAL
asir-3636	199	1	22𝜖+1(|𝑓𝑗	CARDINAL
asir-3636	199	2	2(𝑒𝑖𝑡 2	DATE
asir-3636	200	1	2(1+𝜖))𝑗	CARDINAL
asir-3636	201	1	6	CARDINAL
asir-3636	201	2	2‖ ∞𝑗 ≤ ∑	QUANTITY
asir-3636	201	3	2‖	CARDINAL
asir-3636	202	1	2	CARDINAL
asir-3636	202	2	2(𝑒𝑖𝑡 2	DATE
asir-3636	203	1	2(𝑒𝑖𝑡 2	DATE
asir-3636	204	1	2	CARDINAL
asir-3636	205	1	2)′((1	CARDINAL
asir-3636	206	1	21 0	DATE
asir-3636	206	2	1	CARDINAL
asir-3636	207	1	2(𝑧	CARDINAL
asir-3636	207	2	2(1+𝜖	DATE
asir-3636	207	3	𝑑(𝑒𝑖𝑡 2	DATE
asir-3636	207	4	𝑑𝑡2 ≤	CARDINAL
asir-3636	207	5	2(2𝜖+1	CARDINAL
asir-3636	208	1	|(𝑓𝑗	GPE
asir-3636	208	2	2	CARDINAL
asir-3636	208	3	1	CARDINAL
asir-3636	208	4	2(2𝜖+1)𝜋‖(𝑓𝑗 2)′‖	CARDINAL
asir-3636	209	1	2	CARDINAL
asir-3636	209	2	7	CARDINAL
asir-3636	209	3	𝑑(𝑒𝑖𝑡 2	EVENT
asir-3636	209	4	≤ 1/2	CARDINAL
asir-3636	209	5	𝑑(𝑒𝑖𝑡 2	ORG
asir-3636	212	1	− 𝜉|	PERSON
asir-3636	212	2	𝑧𝑡2(𝑢	GPE
asir-3636	214	1	1	CARDINAL
asir-3636	214	2	0 ≤ 𝑢 ≤ 1	QUANTITY
asir-3636	215	1	2 ∈	CARDINAL
asir-3636	215	2	0 ≤ 𝑢 ≤ 1	QUANTITY
asir-3636	216	1	1 2	CARDINAL
asir-3636	216	2	1	CARDINAL
asir-3636	216	3	2	CARDINAL
asir-3636	216	4	∈	ORG
asir-3636	216	5	𝜕∆𝛾	PERSON
asir-3636	216	6	∶=	ORG
asir-3636	216	7	∈ 𝔻	ORG
asir-3636	216	8	− 𝑧𝑡2𝑡	PERSON
asir-3636	216	9	1	CARDINAL
asir-3636	216	10	2	CARDINAL
asir-3636	216	11	2 ∈	CARDINAL
asir-3636	216	12	0 ≤ 𝑢 ≤ 1	QUANTITY
asir-3636	217	1	∑ |(𝑓𝑗 2)′(𝑧)|𝑗	GPE
asir-3636	217	2	subharmonic	ORG
asir-3636	218	1	5	CARDINAL
asir-3636	218	2	1	CARDINAL
asir-3636	218	3	2021 30	DATE
asir-3636	218	4	scholink inc.	ORG
asir-3636	219	1	2	CARDINAL
asir-3636	221	1	1 2(1	CARDINAL
asir-3636	221	2	2	CARDINAL
asir-3636	222	1	𝜀(1+𝜖	PERSON
asir-3636	223	1	2αj	ORDINAL
asir-3636	223	2	2(1+𝜖	CARDINAL
asir-3636	223	3	𝑧𝑡2)| 2	PRODUCT
asir-3636	223	4	2(1+𝜖	CARDINAL
asir-3636	223	5	2	CARDINAL
asir-3636	223	6	1 +	DATE
asir-3636	223	7	2	CARDINAL
asir-3636	224	1	2𝜖(𝑧𝑡2(𝑢))(𝑓𝑗	CARDINAL
asir-3636	225	1	2 ≤	QUANTITY
asir-3636	226	1	− 𝜉|	PERSON
asir-3636	226	2	𝜀1+𝜖 2 |(𝑓𝑗 2)′(𝑧𝑡2(𝑢))|𝑑𝑢	PERSON
asir-3636	226	3	2 ≤	QUANTITY
asir-3636	226	4	2	CARDINAL
asir-3636	226	5	1	CARDINAL
asir-3636	226	6	1	CARDINAL
asir-3636	226	7	2	CARDINAL
asir-3636	226	8	2	CARDINAL
asir-3636	226	9	2	CARDINAL
asir-3636	226	10	2	CARDINAL
asir-3636	227	1	2(1+𝜖	DATE
asir-3636	227	2	𝑑(𝑒𝑖𝑡 2	DATE
asir-3636	228	1	2	CARDINAL
asir-3636	229	1	8)	CARDINAL
asir-3636	229	2	6	CARDINAL
asir-3636	229	3	7	CARDINAL
asir-3636	230	1	2	CARDINAL
asir-3636	230	2	𝒜αj 2	FAC
asir-3636	230	3	2‖ 𝒜 αj	PERSON
asir-3636	230	4	2	CARDINAL
asir-3636	231	1	0 < 𝜖	MONEY
asir-3636	232	1	matheson	ORG
asir-3636	232	2	1978	DATE
asir-3636	232	3	2(1+𝜖	CARDINAL
asir-3636	232	4	2(1+𝜖	CARDINAL
asir-3636	232	5	∈	ORG
asir-3636	232	6	2	CARDINAL
asir-3636	232	7	2(1+𝜖	CARDINAL
asir-3636	232	8	2(1+𝜖	CARDINAL
asir-3636	233	1	2 𝑗 ≤	QUANTITY
asir-3636	233	2	2.1	CARDINAL
asir-3636	233	3	2(1+𝜖	CARDINAL
asir-3636	234	1	2	CARDINAL
asir-3636	235	1	∑	PERSON
asir-3636	235	2	2	CARDINAL
asir-3636	235	3	1	CARDINAL
asir-3636	235	4	2	CARDINAL
asir-3636	235	5	2	CARDINAL
asir-3636	235	6	2(𝑒𝑖𝜃 2	CARDINAL
asir-3636	235	7	γ 𝑑𝜃2	ORG
asir-3636	236	1	9	CARDINAL
asir-3636	236	2	2)′𝑗	CARDINAL
asir-3636	236	3	2((𝑔𝑗	CARDINAL
asir-3636	236	4	∑	PERSON
asir-3636	238	1	1 + 𝜖)(𝑓𝑗)γ 2(1+𝜖	QUANTITY
asir-3636	238	2	2)γ	DATE
asir-3636	238	3	2(1+𝜖	CARDINAL
asir-3636	238	4	2(1+𝜖	CARDINAL
asir-3636	239	1	1 +	QUANTITY
asir-3636	239	2	2(1+𝜖	CARDINAL
asir-3636	239	3	2(1+𝜖	MONEY
asir-3636	239	4	10	CARDINAL
asir-3636	239	5	2𝜖(1 + 𝜖)(𝑓𝑗	DATE
asir-3636	240	1	1 +	QUANTITY
asir-3636	240	2	2(1+𝜖	CARDINAL
asir-3636	240	3	2(1+𝜖	MONEY
asir-3636	241	1	11	CARDINAL
asir-3636	242	1	5	CARDINAL
asir-3636	242	2	1	CARDINAL
asir-3636	242	3	2021 31	DATE
asir-3636	242	4	scholink inc.	ORG
asir-3636	243	1	2‖ ∞𝑗 ≤ 1	QUANTITY
asir-3636	243	2	2(1+𝜖	CARDINAL
asir-3636	243	3	2𝜖‖ ∞𝑗 ≤ 1	QUANTITY
asir-3636	244	1	11	CARDINAL
asir-3636	244	2	|(𝑓𝑗	GPE
asir-3636	244	3	2(1+𝜖	MONEY
asir-3636	245	1	2 𝑑𝐴(𝑧	QUANTITY
asir-3636	246	1	|(𝑓𝑗	GPE
asir-3636	246	2	2(1+𝜖	MONEY
asir-3636	248	1	12	CARDINAL
asir-3636	249	1	2	CARDINAL
asir-3636	249	2	2(𝑎)𝑗	CARDINAL
asir-3636	249	3	2(𝑎 +	DATE
asir-3636	249	4	0	CARDINAL
asir-3636	250	1	|(𝑓𝑗	GPE
asir-3636	250	2	2(1+𝜖	MONEY
asir-3636	251	1	13	CARDINAL
asir-3636	251	2	2(1+𝜖	MONEY
asir-3636	254	1	2	CARDINAL
asir-3636	254	2	1	CARDINAL
asir-3636	254	3	1≔	CARDINAL
asir-3636	254	4	∈	ORG
asir-3636	254	5	2(1	CARDINAL
asir-3636	254	6	2≔	CARDINAL
asir-3636	254	7	∈	ORG
asir-3636	254	8	2(1	CARDINAL
asir-3636	255	1	1	CARDINAL
asir-3636	256	1	brahim bouya	PERSON
asir-3636	256	2	2008	DATE
asir-3636	257	1	4.2	CARDINAL
asir-3636	257	2	2	CARDINAL
asir-3636	257	3	2(1+𝜖	CARDINAL
asir-3636	257	4	1	CARDINAL
asir-3636	257	5	1	CARDINAL
asir-3636	257	6	2	CARDINAL
asir-3636	258	1	1	CARDINAL
asir-3636	258	2	2αj	ORDINAL
asir-3636	258	3	2	CARDINAL
asir-3636	258	4	2	CARDINAL
asir-3636	258	5	2(1+𝜖	DATE
asir-3636	259	1	2	CARDINAL
asir-3636	259	2	2	CARDINAL
asir-3636	259	3	2	CARDINAL
asir-3636	259	4	2𝜖	CARDINAL
asir-3636	259	5	2	CARDINAL
asir-3636	259	6	2	CARDINAL
asir-3636	259	7	2 𝑗 ≤	QUANTITY
asir-3636	259	8	2	CARDINAL
asir-3636	259	9	1−𝜖	CARDINAL
asir-3636	259	10	2	CARDINAL
asir-3636	259	11	1	CARDINAL
asir-3636	259	12	1−𝜖	CARDINAL
asir-3636	260	1	2	CARDINAL
asir-3636	260	2	2(1+𝜖	CARDINAL
asir-3636	260	3	1	CARDINAL
asir-3636	261	1	2	CARDINAL
asir-3636	261	2	2	CARDINAL
asir-3636	261	3	2	CARDINAL
asir-3636	262	1	2(1+𝜖	CARDINAL
asir-3636	262	2	1	CARDINAL
asir-3636	262	3	1	CARDINAL
asir-3636	262	4	𝜖2	GPE
asir-3636	262	5	2	CARDINAL
asir-3636	262	6	1	CARDINAL
asir-3636	266	1	5	CARDINAL
asir-3636	266	2	1	CARDINAL
asir-3636	266	3	2021 32	DATE
asir-3636	266	4	scholink inc.	ORG
asir-3636	267	1	brahim bouya	PERSON
asir-3636	267	2	2008	DATE
asir-3636	268	1	4.3	CARDINAL
asir-3636	268	2	2	CARDINAL
asir-3636	268	3	2	CARDINAL
asir-3636	269	1	1 ∑𝐶(1+𝜖	CARDINAL
asir-3636	269	2	2	CARDINAL
asir-3636	269	3	2	CARDINAL
asir-3636	271	1	cauchy	ORG
asir-3636	271	2	∑ |((𝑓𝑗 2	ORG
asir-3636	271	3	− 𝜖)𝑒𝑖𝑡 2	FAC
asir-3636	272	1	4.2	CARDINAL
asir-3636	272	2	2	CARDINAL
asir-3636	272	3	2 𝑑𝐴(𝑧)𝒋	QUANTITY
asir-3636	272	4	1 ≤	CARDINAL
asir-3636	272	5	1−|𝑧|)2𝒋	CARDINAL
asir-3636	272	6	1 𝑑𝐴(𝑧	QUANTITY
asir-3636	272	7	2	CARDINAL
asir-3636	272	8	2(1+𝜖	CARDINAL
asir-3636	272	9	1−|𝑧|)2𝒋	CARDINAL
asir-3636	273	1	14	CARDINAL
asir-3636	273	2	4.1	CARDINAL
asir-3636	273	3	2(1+𝜖	CARDINAL
asir-3636	274	1	1−|𝑧|)2𝒋	CARDINAL
asir-3636	274	2	1 𝑑𝐴(𝑧	QUANTITY
asir-3636	274	3	1	CARDINAL
asir-3636	274	4	2	CARDINAL
asir-3636	274	5	2(1+𝜖	CARDINAL
asir-3636	274	6	1 ≤ 𝐶 𝜋	QUANTITY
asir-3636	274	7	2	CARDINAL
asir-3636	274	8	2(1+𝜖	CARDINAL
asir-3636	274	9	2	CARDINAL
asir-3636	275	1	15	CARDINAL
asir-3636	275	2	14	CARDINAL
asir-3636	275	3	15	CARDINAL
asir-3636	276	1	2	CARDINAL
asir-3636	277	1	2	CARDINAL
asir-3636	277	2	2 𝑑𝐴(𝑧)𝒋	QUANTITY
asir-3636	277	3	2	CARDINAL
asir-3636	279	1	∈ 𝔻	ORG
asir-3636	279	2	1 2𝜋	CARDINAL
asir-3636	279	3	−log|𝑓𝑗 2	PERSON
asir-3636	279	4	2	CARDINAL
asir-3636	279	5	2	CARDINAL
asir-3636	279	6	1 2𝜋	CARDINAL
asir-3636	279	7	−log|𝑓𝑗 2	PERSON
asir-3636	279	8	2	CARDINAL
asir-3636	279	9	2	CARDINAL
asir-3636	279	10	10	CARDINAL
asir-3636	279	11	2 𝑗 ≤	QUANTITY
asir-3636	279	12	1 2𝜋	CARDINAL
asir-3636	279	13	−log|𝑓𝑗 2	PERSON
asir-3636	279	14	2	CARDINAL
asir-3636	279	15	2	CARDINAL
asir-3636	280	1	16	CARDINAL
asir-3636	280	2	11	CARDINAL
asir-3636	280	3	2 ≤	QUANTITY
asir-3636	280	4	2 + 8∑	DATE
asir-3636	280	5	1 2𝜋	CARDINAL
asir-3636	280	6	−log|𝑓𝑗 2	PERSON
asir-3636	280	7	2	CARDINAL
asir-3636	280	8	2	CARDINAL
asir-3636	280	9	2	CARDINAL
asir-3636	281	1	17	CARDINAL
asir-3636	281	2	2	CARDINAL
asir-3636	281	3	2 𝑑𝐴(𝑧)𝒋	QUANTITY
asir-3636	281	4	2 ≤	QUANTITY
asir-3636	281	5	2	CARDINAL
asir-3636	281	6	2	CARDINAL
asir-3636	281	7	2	CARDINAL
asir-3636	281	8	2(𝑧)𝑑𝐴(𝑧)𝒋	CARDINAL
asir-3636	281	9	2	CARDINAL
asir-3636	282	1	18	CARDINAL
asir-3636	282	2	2 |	CARDINAL
asir-3636	284	1	∈	ORG
asir-3636	284	2	19	CARDINAL
asir-3636	286	1	5	CARDINAL
asir-3636	286	2	1	CARDINAL
asir-3636	286	3	2021 33	DATE
asir-3636	286	4	scholink inc	ORG
asir-3636	286	5	2	CARDINAL
asir-3636	287	1	2	CARDINAL
asir-3636	287	2	three	CARDINAL
asir-3636	287	3	2(𝑧)𝑑𝐴(𝑧)𝑗	CARDINAL
asir-3636	288	1	∈	ORG
asir-3636	288	2	2	CARDINAL
asir-3636	288	3	three	CARDINAL
asir-3636	288	4	20	CARDINAL
asir-3636	288	5	8 |log	PERCENT
asir-3636	288	6	𝑑(𝑧))|	NORP
asir-3636	288	7	21	CARDINAL
asir-3636	288	8	𝑑(𝑧))|	NORP
asir-3636	288	9	22	CARDINAL
asir-3636	288	10	2	CARDINAL
asir-3636	288	11	three	CARDINAL
asir-3636	288	12	21≔	CARDINAL
asir-3636	288	13	∈	ORG
asir-3636	288	14	2	CARDINAL
asir-3636	288	15	20	CARDINAL
asir-3636	288	16	22≔	CARDINAL
asir-3636	288	17	∈	ORG
asir-3636	288	18	2	CARDINAL
asir-3636	288	19	21	CARDINAL
asir-3636	288	20	23≔	CARDINAL
asir-3636	288	21	∈	ORG
asir-3636	288	22	2	CARDINAL
asir-3636	288	23	22	CARDINAL
asir-3636	288	24	21	CARDINAL
asir-3636	288	25	23	CARDINAL
asir-3636	289	1	brahim bouya	PERSON
asir-3636	289	2	2008	DATE
asir-3636	290	1	4.4	CARDINAL
asir-3636	291	1	2	CARDINAL
asir-3636	291	2	2(𝑧)𝑑𝐴(𝑧	CARDINAL
asir-3636	292	1	𝟐𝟏	CARDINAL
asir-3636	292	2	2	CARDINAL
asir-3636	292	3	2	CARDINAL
asir-3636	293	1	4.2	CARDINAL
asir-3636	294	1	2	CARDINAL
asir-3636	294	2	2(𝑧)𝑑𝐴(𝑧	CARDINAL
asir-3636	295	1	2	CARDINAL
asir-3636	295	2	2	CARDINAL
asir-3636	295	3	2(𝑧)𝑑𝐴(𝑧	MONEY
asir-3636	296	1	𝟐𝟏 + 2(1+𝜖)∫	QUANTITY
asir-3636	296	2	2	CARDINAL
asir-3636	297	1	2(𝑧)𝑑𝐴(𝑧	CARDINAL
asir-3636	297	2	2	CARDINAL
asir-3636	298	1	1	CARDINAL
asir-3636	298	2	2	CARDINAL
asir-3636	298	3	1	CARDINAL
asir-3636	298	4	𝟐𝟏	CARDINAL
asir-3636	298	5	2	CARDINAL
asir-3636	298	6	2	CARDINAL
asir-3636	298	7	2	CARDINAL
asir-3636	298	8	𝟐𝟏	CARDINAL
asir-3636	299	1	2 ∈	CARDINAL
asir-3636	299	2	2𝜖)𝑡2/|(𝑧	CARDINAL
asir-3636	299	3	2𝜖)𝑡2|	CARDINAL
asir-3636	299	4	2	CARDINAL
asir-3636	300	1	|𝑒𝑖𝑡 2 −	ORG
asir-3636	301	1	2𝜖)𝑡2|	CARDINAL
asir-3636	301	2	1	CARDINAL
asir-3636	302	1	2𝜖)𝑡2|	CARDINAL
asir-3636	302	2	− 2𝜖)𝑡2	PERSON
asir-3636	302	3	2 ≤	MONEY
asir-3636	304	1	5	CARDINAL
asir-3636	304	2	1	CARDINAL
asir-3636	304	3	2021 34	DATE
asir-3636	304	4	scholink inc.	ORG
asir-3636	305	1	2	CARDINAL
asir-3636	305	2	2	CARDINAL
asir-3636	305	3	2	CARDINAL
asir-3636	306	1	2	CARDINAL
asir-3636	307	1	4.1	CARDINAL
asir-3636	307	2	2	CARDINAL
asir-3636	307	3	2	CARDINAL
asir-3636	309	1	4.5	CARDINAL
asir-3636	310	1	2	CARDINAL
asir-3636	310	2	2(1+𝜖	CARDINAL
asir-3636	310	3	2(𝑧)𝑑𝐴(𝑧	CARDINAL
asir-3636	311	1	𝐴(∆𝛾)is	ORG
asir-3636	311	2	γ	GPE
asir-3636	311	3	γ ⊆	ORG
asir-3636	312	1	∈	ORG
asir-3636	312	2	23	CARDINAL
asir-3636	313	1	2	CARDINAL
asir-3636	313	2	1 2𝜋	CARDINAL
asir-3636	313	3	2𝜖	CARDINAL
asir-3636	313	4	2	CARDINAL
asir-3636	313	5	2	CARDINAL
asir-3636	313	6	2	CARDINAL
asir-3636	313	7	2𝜋	CARDINAL
asir-3636	313	8	1 2𝜋	CARDINAL
asir-3636	313	9	2𝜖	CARDINAL
asir-3636	313	10	2	CARDINAL
asir-3636	313	11	2	CARDINAL
asir-3636	313	12	2	CARDINAL
asir-3636	314	1	19	CARDINAL
asir-3636	315	1	23	CARDINAL
asir-3636	316	1	2	CARDINAL
asir-3636	316	2	2(1+𝜖	CARDINAL
asir-3636	316	3	2(𝑧)𝑑𝐴(𝑧	CARDINAL
asir-3636	316	4	𝟐𝟐	CARDINAL
asir-3636	317	1	brahim bouya	PERSON
asir-3636	317	2	2008	DATE
asir-3636	319	1	korenblum	PERSON
asir-3636	319	2	1972	DATE
asir-3636	319	3	matheson	PERSON
asir-3636	319	4	1978	DATE
asir-3636	319	5	1994	DATE
asir-3636	319	6	1982, 1988	DATE
asir-3636	320	1	4.6	CARDINAL
asir-3636	320	2	1 − 8|log	CARDINAL
asir-3636	320	3	𝑑(𝑧))|	NORP
asir-3636	321	1	𝜇𝑧𝑧)| ≤	LAW
asir-3636	322	1	23	CARDINAL
asir-3636	324	1	5	CARDINAL
asir-3636	324	2	1	CARDINAL
asir-3636	324	3	2021 35	CARDINAL
asir-3636	324	4	scholink inc	ORG
asir-3636	325	1	2	CARDINAL
asir-3636	325	2	1 2𝜋	CARDINAL
asir-3636	325	3	1−	TIME
asir-3636	325	4	2	CARDINAL
asir-3636	325	5	2	CARDINAL
asir-3636	325	6	2	CARDINAL
asir-3636	325	7	2	CARDINAL
asir-3636	325	8	2𝜋	CARDINAL
asir-3636	325	9	1 2𝜋	CARDINAL
asir-3636	325	10	1−	TIME
asir-3636	325	11	2	CARDINAL
asir-3636	325	12	2	CARDINAL
asir-3636	325	13	2	CARDINAL
asir-3636	325	14	2	CARDINAL
asir-3636	328	1	2	CARDINAL
asir-3636	328	2	2	CARDINAL
asir-3636	329	1	2 𝑎𝛾(𝑧	QUANTITY
asir-3636	331	1	1	CARDINAL
asir-3636	331	2	2	CARDINAL
asir-3636	331	3	2	CARDINAL
asir-3636	332	1	2	CARDINAL
asir-3636	332	2	2	CARDINAL
asir-3636	332	3	2	CARDINAL
asir-3636	332	4	1 2	CARDINAL
asir-3636	332	5	𝟐𝟐	CARDINAL
asir-3636	333	1	2	CARDINAL
asir-3636	333	2	4	CARDINAL
asir-3636	333	3	𝟐𝟐	CARDINAL
asir-3636	334	1	1	CARDINAL
asir-3636	334	2	2(𝑧	CARDINAL
asir-3636	334	3	𝟐𝟐	CARDINAL
asir-3636	334	4	23	CARDINAL
asir-3636	335	1	0	CARDINAL
asir-3636	335	2	∈ 𝔻:	ORG
asir-3636	337	1	∈	ORG
asir-3636	337	2	brahim bouya	PERSON
asir-3636	337	3	2008	DATE
asir-3636	338	1	1 2	CARDINAL
asir-3636	338	2	16	CARDINAL
asir-3636	339	1	lemma	ORG
asir-3636	339	2	4.7	CARDINAL
asir-3636	339	3	0	CARDINAL
asir-3636	341	1	2	CARDINAL
asir-3636	341	2	2	CARDINAL
asir-3636	341	3	1−𝜖)𝑒𝑖𝑡 2(1	CARDINAL
asir-3636	341	4	− 𝜖)𝑒𝑖𝑡 2	PERSON
asir-3636	341	5	2(1+𝜖	CARDINAL
asir-3636	341	6	2((1	CARDINAL
asir-3636	341	7	2	CARDINAL
asir-3636	341	8	2	CARDINAL
asir-3636	341	9	𝜀(1+𝜖	PERSON
asir-3636	343	1	𝟐𝟐.	ORG
asir-3636	343	2	2	CARDINAL
asir-3636	343	3	2	CARDINAL
asir-3636	343	4	1−𝜖)𝑒𝑖𝑡 2(1	CARDINAL
asir-3636	343	5	− 𝜖)𝑒𝑖𝑡 2	PERSON
asir-3636	344	1	1	CARDINAL
asir-3636	344	2	1−𝜖)𝑒𝑖𝑡 2	DATE
asir-3636	344	3	2	CARDINAL
asir-3636	344	4	1	CARDINAL
asir-3636	344	5	1−𝜖)𝑒𝑖𝑡 2	DATE
asir-3636	344	6	− 𝜖)𝑒𝑖𝑡 2	ORG
asir-3636	344	7	𝐶1+𝜖	PERSON
asir-3636	345	1	− 𝜖)𝑒𝑖𝑡 2	ORG
asir-3636	345	2	− 𝜖)𝑒𝑖𝑡 2	ORG
asir-3636	345	3	1	CARDINAL
asir-3636	347	1	5	CARDINAL
asir-3636	347	2	1	CARDINAL
asir-3636	347	3	2021 36	DATE
asir-3636	347	4	scholink inc.	ORG
asir-3636	348	1	2	CARDINAL
asir-3636	348	2	2	CARDINAL
asir-3636	348	3	1−𝜖)𝑒𝑖𝑡 2(1	CARDINAL
asir-3636	348	4	− 𝜖)𝑒𝑖𝑡 2	PERSON
asir-3636	348	5	2(1+𝜖	CARDINAL
asir-3636	348	6	2((1	CARDINAL
asir-3636	348	7	2	CARDINAL
asir-3636	348	8	1−𝜖)𝑒𝑖𝑡 2(1	CARDINAL
asir-3636	348	9	− 𝜖)𝑒𝑖𝑡 2	PERSON
asir-3636	348	10	1	CARDINAL
asir-3636	348	11	1−𝜖)𝑒𝑖𝑡 2	DATE
asir-3636	348	12	2	CARDINAL
asir-3636	348	13	1	CARDINAL
asir-3636	348	14	∫ ∑|(𝑓𝑗 2 )′	ORG
asir-3636	349	1	2	CARDINAL
asir-3636	349	2	1−𝜖	CARDINAL
asir-3636	349	3	1−𝜖)𝑒𝑖𝑡 2(1−𝜖	DATE
asir-3636	350	1	2	CARDINAL
asir-3636	351	1	2	CARDINAL
asir-3636	351	2	𝑑𝑡2 ( 1 2+𝜖	DATE
asir-3636	351	3	1−𝜖	CARDINAL
asir-3636	351	4	𝐶1+𝜖	PERSON
asir-3636	351	5	2	CARDINAL
asir-3636	352	1	2	CARDINAL
asir-3636	352	2	1 2+𝜖	CARDINAL
asir-3636	352	3	1−𝜖	CARDINAL
asir-3636	352	4	0 ≤	QUANTITY
asir-3636	354	1	2.1	CARDINAL
asir-3636	354	2	one	CARDINAL
asir-3636	354	3	brahim bouya	PERSON
asir-3636	354	4	2008	DATE
asir-3636	355	1	4.8	CARDINAL
asir-3636	356	1	2	CARDINAL
asir-3636	356	2	2(1+𝜖	CARDINAL
asir-3636	356	3	2(𝑧)𝑑𝐴(𝑧	CARDINAL
asir-3636	356	4	𝟐𝟐	CARDINAL
asir-3636	356	5	2	CARDINAL
asir-3636	356	6	2	CARDINAL
asir-3636	357	1	19	CARDINAL
asir-3636	357	2	4.6	CARDINAL
asir-3636	357	3	4.7	CARDINAL
asir-3636	358	1	5	CARDINAL
asir-3636	358	2	1	CARDINAL
asir-3636	358	3	2021	CARDINAL
asir-3636	358	4	scholink inc.	ORG
asir-3636	359	1	2	CARDINAL
asir-3636	359	2	2(1+𝜖	CARDINAL
asir-3636	359	3	2(𝑧)𝑑𝐴(𝑧	CARDINAL
asir-3636	359	4	𝟐𝟐	CARDINAL
asir-3636	359	5	1	CARDINAL
asir-3636	359	6	2	CARDINAL
asir-3636	360	1	2(1+𝜖	CARDINAL
asir-3636	360	2	𝟐𝟐	DATE
asir-3636	360	3	2((1	CARDINAL
asir-3636	361	1	1	CARDINAL
asir-3636	362	1	2	CARDINAL
asir-3636	362	2	1−𝜖)𝑒𝑖𝑡 2(1	CARDINAL
asir-3636	362	3	− 𝜖)𝑒𝑖𝑡 2	PERSON
asir-3636	362	4	2(1+𝜖	CARDINAL
asir-3636	362	5	2((1	CARDINAL
asir-3636	363	1	1	CARDINAL
asir-3636	364	1	2	CARDINAL
asir-3636	366	1	18	CARDINAL
asir-3636	366	2	4.4	CARDINAL
asir-3636	366	3	4.5	CARDINAL
asir-3636	366	4	4.8	CARDINAL
asir-3636	367	1	2	CARDINAL
asir-3636	367	2	2(1+𝜖	CARDINAL
asir-3636	367	3	2	CARDINAL
asir-3636	367	4	2 𝑑𝐴(𝑧	QUANTITY
asir-3636	367	5	𝟐𝟐 ≤ 2∑‖(𝑓𝑗 2	QUANTITY
asir-3636	367	6	2	CARDINAL
asir-3636	367	7	2	CARDINAL
asir-3636	367	8	2(𝑧)𝑑𝐴(𝑧	MONEY
asir-3636	368	1	2	CARDINAL
asir-3636	368	2	2	CARDINAL
asir-3636	369	1	4.3	CARDINAL
asir-3636	370	1	2	CARDINAL
asir-3636	370	2	2(1+𝜖	CARDINAL
asir-3636	370	3	2	CARDINAL
asir-3636	370	4	2 𝑑𝐴(𝑧	QUANTITY
asir-3636	370	5	2	CARDINAL
asir-3636	370	6	2	CARDINAL
asir-3636	371	1	∫ 𝔻 ∑|𝑓𝑗 2	ORG
asir-3636	371	2	2(1+𝜖	CARDINAL
asir-3636	371	3	2	CARDINAL
asir-3636	371	4	2 𝑑𝐴(𝑧	QUANTITY
asir-3636	372	1	2	CARDINAL
asir-3636	372	2	2(1+𝜖	CARDINAL
asir-3636	372	3	2	CARDINAL
asir-3636	372	4	2 𝑑𝐴(𝑧	QUANTITY
asir-3636	372	5	∞	CARDINAL
asir-3636	372	6	2	CARDINAL
asir-3636	372	7	2 ∞	QUANTITY
asir-3636	373	1	𝐶1+𝜖	PERSON
asir-3636	374	1	2.1	CARDINAL
asir-3636	375	1	5	CARDINAL
asir-3636	375	2	1	CARDINAL
asir-3636	375	3	2021	CARDINAL
asir-3636	375	4	scholink inc.	ORG
asir-3636	375	5	2006	DATE
asir-3636	377	1	c. r. math	PERSON
asir-3636	378	1	acad	ORG
asir-3636	379	1	sci	ORG
asir-3636	379	2	paris	GPE
asir-3636	379	3	343(4	DATE
asir-3636	379	4	235	CARDINAL
asir-3636	381	1	2008	DATE
asir-3636	383	1	https://doi.org/10.4153/cjm-2009-014-5 carleson	PERSON
asir-3636	383	2	1960	DATE
asir-3636	386	1	z.	PERSON
asir-3636	386	2	73	DATE
asir-3636	386	3	190	CARDINAL
asir-3636	387	1	https://doi.org/10.1007/bf01162477 duren	PERSON
asir-3636	387	2	p. l.	PERSON
asir-3636	387	3	1970	DATE
asir-3636	389	1	new york	GPE
asir-3636	390	1	el-fallah	ORG
asir-3636	390	2	k., & ransford	ORG
asir-3636	390	3	t.	GPE
asir-3636	390	4	2006	DATE
asir-3636	391	1	ark.	GPE
asir-3636	391	2	44(1	CARDINAL
asir-3636	391	3	61-86	DATE
asir-3636	392	1	esterle	PERSON
asir-3636	392	2	j.	PERSON
asir-3636	392	3	strouse	GPE
asir-3636	392	4	e., & zouakia	ORG
asir-3636	392	5	1994	DATE
asir-3636	394	1	j. reine angew	PERSON
asir-3636	396	1	449	CARDINAL
asir-3636	396	2	65	CARDINAL
asir-3636	396	3	1990	DATE
asir-3636	398	1	mich	GPE
asir-3636	399	1	j.	PERSON
asir-3636	399	2	37	DATE
asir-3636	399	3	91	CARDINAL
asir-3636	399	4	hoffman	PERSON
asir-3636	399	5	k.	PERSON
asir-3636	399	6	1988	DATE
asir-3636	401	1	dover publications inc.	ORG
asir-3636	401	2	new york	GPE
asir-3636	402	1	1962	DATE
asir-3636	403	1	korenblum	PERSON
asir-3636	403	2	b. i.	PERSON
asir-3636	403	3	1972	DATE
asir-3636	404	1	89(131	CARDINAL
asir-3636	404	2	110	CARDINAL
asir-3636	405	1	https://doi.org/10.1070/sm1972v018n01abeh001617 matheson	PERSON
asir-3636	405	2	1978	DATE
asir-3636	407	1	mich	GPE
asir-3636	408	1	j.	PERSON
asir-3636	408	2	25(3	CARDINAL
asir-3636	408	3	289	CARDINAL
asir-3636	408	4	rudin	PERSON
asir-3636	408	5	w.	PERSON
asir-3636	408	6	1974	DATE
asir-3636	409	1	2nd	ORDINAL
asir-3636	410	1	mcgraw-hill	ORG
asir-3636	410	2	mcgraw-hill book co.	ORG
asir-3636	410	3	new york	GPE
asir-3636	411	1	shamoyan	GPE
asir-3636	411	2	f. a.	PERSON
asir-3636	411	3	1994	DATE
asir-3636	413	1	79(2	CARDINAL
asir-3636	413	2	425	CARDINAL
asir-3636	414	1	n. a.	PERSON
asir-3636	414	2	1982	DATE
asir-3636	415	1	russian	NORP
asir-3636	415	2	akad	PERSON
asir-3636	416	1	sssr	PERSON
asir-3636	416	2	1316-1333	DATE
asir-3636	417	1	shirokov	ORG
asir-3636	417	2	n. a.	PERSON
asir-3636	417	3	1988	DATE
asir-3636	418	1	1312	CARDINAL
asir-3636	419	1	berlin	GPE
asir-3636	420	1	taylor	PERSON
asir-3636	420	2	b. a.	PERSON
asir-3636	420	3	d. l.	PERSON
asir-3636	420	4	1970	DATE
asir-3636	422	1	j. math	PERSON
asir-3636	422	2	22	DATE
asir-3636	422	3	1266-1283	CARDINAL
asir-3636	423	1	https://doi.org/10.4153/cjm-1970-143-x	ORG