UNCONDITIONAL BASES OF REPRODUCING KERNELS IN HILBERT SPACES OF ENTIRE FUNCTIONS

被引：9

作者：

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

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

机构：

[1] RAS, USC, Inst Math, Chernyshevsky Str 112, Ufa 450008, Russia

来源：

UFA MATHEMATICAL JOURNAL | 2013年 / 5卷 / 03期

关键词：

Hilbert spaces; entire functions; reproducing kernels; unconditional bases;

D O I：

10.13108/2013-5-3-67

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the existence of unconditional bases of reproducing kernels in a functional Hilbert space of entire functions. It is proved that under certain conditions, unconditional bases of reproducing kernels do not exist. It is shown that in particular spaces, some known theorems on the absence of unconditional bases are the consequences of these results.

引用

页码：67 / 76

页数：10

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