Equivalent conditions for the existence of unconditional bases of reproducing kernels in spaces of entire functions

DOI10.15393/J3.ART.2021.10910zbMath1501.46025OpenAlexW3211810980MaRDI QIDQ5086590

R. S. Yulmukhametov, K. P. Isaev

Publication date: 6 July 2022

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa330

zbMATH Keywords

Hilbert spacesentire functionsreproducing kernelsRiesz basesunconditional bases

Mathematics Subject Classification ID

Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Representations of entire functions of one complex variable by series and integrals (30D10)

Related Items (2)

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

Cites Work

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• Unconditional bases in weakly weighted spaces of entire functions
• Riesz bases of reproducing kernels in Fock-type spaces
• Density theorems for sampling and interpolation in the Bargmann-Fock space I.
• Geometry of radial Hilbert spaces with unconditional bases of reproducing kernels
• Unconditional Bases in Radial Hilbert Spaces

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