On a sufficient condition for the existence of unconditional bases of reproducing kernels in Fock type spaces with nonradial weights

被引：1

作者：

Isaev, K. P. ^{[1
,2
]}

Lutsenko, A. V. ^{[1
,2
]}

Yulmukhametov, R. S. ^{[1
,2
]}

机构：

[1] Ufa Univ Sci & Technol, 32 Zaki Validi str, Ufa 450076, Russia

[2] 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 | 2023年 / 13卷 / 06期

基金：

俄罗斯科学基金会;

关键词：

Hilbert spaces; Entire functions; Reproducing kernels; Unconditional bases; Riesz bases; RIESZ BASES;

D O I：

10.1007/s13324-023-00848-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We describe some Fock type spaces which possess unconditional bases of reproducing kernels, the spaces F-phi of entire functions f such that f e(-phi) is an element of L-2(C), where phi is a subharmonic function, which may be nonradial.

引用

页数：11

共 15 条

[1] Fock type spaces with Riesz bases of reproducing kernels and de Branges spaces [J].

Baranov, Anton ;

Belov, Yuaii ;

Borichev, Alexander .

STUDIA MATHEMATICA, 2017, 236 (02) :127-142

[2] Sampling and interpolation in large Bergman and Fock spaces [J].

Borichev, Alexander ;

Dhuez, Remi ;

Kellay, Karim .

JOURNAL OF FUNCTIONAL ANALYSIS, 2007, 242 (02) :563-606

[3] RIESZ BASES OF REPRODUCING KERNELS IN FOCK-TYPE SPACES [J].

Borichev, Alexander ;

Lyubarskii, Yurii .

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU, 2010, 9 (03) :449-461

[4]

HaymanW K, 1976, London Mathematical Society Monographs, V9

[5]

Isaev KP, 2020, Journal of Mathematical Sciences, V250, P310, DOI [10.1007/s10958-020-05017-3, 10.1007/s10958-020-05017-3, DOI 10.1007/S10958-020-05017-3]

[6]

Isaev KP, 2022, Journal of Mathematical Sciences, V260, P748, DOI [10.1007/s10958-022-05725-y, 10.1007/s10958-022-05725-y, DOI 10.1007/S10958-022-05725-Y]

[7] On a criterion for the existence of unconditional bases of reproducing kernels in Fock spaces with radial regular weight [J].

Isaev, K. P. ;

Yulmukhametov, R. S. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 519 (02)

[8]

Isaev KP, 2021, Journal of Mathematical Sciences, V257, P662, DOI [10.1007/s10958-021-05508-x, 10.1007/s10958-021-05508-x, DOI 10.1007/S10958-021-05508-X]

[9] Unconditional bases in radial Hilbert spaces [J].

Isaev, K. P. ;

Yulmukhametov, R. S. .

IZVESTIYA MATHEMATICS, 2022, 86 (01) :150-168

[10] Riesz bases of normalized reproducing kernels in Fock type spaces [J].

Isaev, K. P. ;

Yulmukhametov, R. S. .

ANALYSIS AND MATHEMATICAL PHYSICS, 2022, 12 (01)

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