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
收藏
页码:41 / 52
页数:12
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