On a criterion for the existence of unconditional bases of reproducing kernels in Fock spaces with radial regular weight

DOI10.1016/J.JMAA.2022.126839OpenAlexW4308743253MaRDI QIDQ2102124

R. S. Yulmukhametov, K. P. Isaev

Publication date: 28 November 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126839

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) Bergman spaces and Fock spaces (30H20)

Related Items (1)

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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• Riesz bases of reproducing kernels in Fock-type spaces
• Density theorems for sampling and interpolation in the Bargmann-Fock space I.
• Unconditional bases in radial Hilbert spaces
• The absence of unconditional bases of exponentials in Bergman spaces on non-polygonal domains

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