EQUIVALENT CONDITIONS FOR THE EXISTENCE OF UNCONDITIONAL BASES OF REPRODUCING KERNELS IN SPACES OF ENTIRE FUNCTIONS

被引：1

作者：

Isaev, K. P. ^{[1
]}

Yulmukhametov, R. S. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Math, Ufa Fed Res Ctr, Inst Math UFRC RAS, 112 Chernyshevsky Str, Ufa 450008, Russia

来源：

PROBLEMY ANALIZA-ISSUES OF ANALYSIS | 2021年 / 10卷 / 03期

基金：

俄罗斯科学基金会;

关键词：

Hilbert spaces; entire functions; reproducing kernels; unconditional bases; Riesz bases; DENSITY THEOREMS; HILBERT-SPACES; RIESZ BASES; INTERPOLATION;

D O I：

10.15393/j3.art.2021.10910

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a reproducing kernel radial Hilbert space of entire functions and prove the equivalence of several sufficient conditions for the existence of unconditional bases of reproducing kernels in such spaces.

引用

页码：41 / 52

页数：12

共 50 条

[1] On Hilbert Spaces of Entire Functions with Unconditional Bases of Reproducing Kernels
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[J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2019, 40 (09) : 1283 - 1294
[2] On Hilbert Spaces of Entire Functions with Unconditional Bases of Reproducing Kernels
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[3] UNCONDITIONAL BASES OF REPRODUCING KERNELS IN HILBERT SPACES OF ENTIRE FUNCTIONS
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[4] On a Sufficient Condition for the Existence of Unconditional Bases of Reproducing Kernels in Hilbert Spaces of Entire Functions
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[6] Necessary Condition for the Existence of Unconditional Bases of Reproducing Kernels for Hilbert Spaces of Entire Functions
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[7] Equivalent Norms in Hilbert Spaces with Unconditional Bases of Reproducing Kernels
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[8] On a criterion for the existence of unconditional bases of reproducing kernels in Fock spaces with radial regular weight
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[10] GEOMETRY OF RADIAL HILBERT SPACES WITH UNCONDITIONAL BASES OF REPRODUCING KERNELS
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