On Hilbert Spaces of Entire Functions with Unconditional Bases of Reproducing Kernels

被引：1
|
作者：
Isaev, K. P. [1 ,2 ]
Yulmukhametov, R. S. [1 ,2 ]
机构：
[1] Russian Acad Sci, Inst Math, Comp Ctr, Ufa Fed Res Ctr, Ufa 450008, Russia
[2] Bashkir State Univ, Ufa 450076, Russia
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2019年 / 40卷 / 09期
关键词：
Hilbert spaces; entire functions; unconditional bases; reproducing kernels; RIESZ BASES;
D O I：
10.1134/S1995080219090087
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider an entire function under certain conditions on the distribution of its zeros. We construct a Hilbert space of entire functions which possess unconditional basis of reproducing kernels at zeros of this function. It is proved that some known Hilbert spaces of entire functions with unconditional bases of reproducing kernels are isomorphic (as normalized spaces) to the corresponding spaces constructed by the entire functions generating the bases.
引用
收藏
页码：1283 / 1294
页数：12
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