Riesz bases of normalized reproducing kernels in Fock type spaces

被引：4

作者：

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

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

机构：

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

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2022年 / 12卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

Hilbert spaces; Entire functions; Reproducing kernels; Unconditional bases; Riesz bases; UNCONDITIONAL BASES; DENSITY THEOREMS; HILBERT-SPACES; INTERPOLATION;

D O I：

10.1007/s13324-021-00623-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe some radial Fock type spaces which possess Riesz bases of normalized reproducing kernels, the spaces F phi of entire functions f such that f e(-phi) is an element of L-2(C), where phi(z) = phi(vertical bar z vertical bar) is a radial subharmonic function. We prove that F-phi has Riesz basis of normalized reproducing kernels for sufficiently regular psi(r) = phi(e(r)) such that psi ''(r) is bounded above.

引用

页数：16

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