Riesz bases of normalized reproducing kernels in Fock type spaces

DOI10.1007/S13324-021-00623-ZzbMath1485.46029OpenAlexW3216300955MaRDI QIDQ2054427

K. P. Isaev, R. S. Yulmukhametov

Publication date: 2 December 2021

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

Full work available at URL: https://doi.org/10.1007/s13324-021-00623-z

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 (4)

Unconditional bases of reproducing kernels for Fock spaces with nonradial weights ⋮ Entire functions of sine type for convex apeirogons ⋮ On a sufficient condition for the existence of unconditional bases of reproducing kernels in Fock type spaces with nonradial weights ⋮ On a criterion for the existence of unconditional bases of reproducing kernels in Fock spaces with radial regular weight

Cites Work

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• Sampling and interpolation in large Bergman and Fock spaces
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• On a sufficient condition for the existence of unconditional bases of reproducing kernels in Hilbert spaces of entire functions
• Fock type spaces with Riesz bases of reproducing kernels and de Branges spaces
• 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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