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

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

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Bibliographic Details
Published in:Analysis and mathematical physics 2023-12, Vol.13 (6), Article 83
Main Authors: Isaev, K. P., Lutsenko, A. V., Yulmukhametov, R. S.
Format: Article
Language:English
Subjects:
Analysis
Entire functions
Kernels
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
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Description
Summary:We describe some Fock type spaces which possess unconditional bases of reproducing kernels, the spaces F φ of entire functions f such that f e - φ ∈ L 2 ( C ) , where φ is a subharmonic function, which may be nonradial.
ISSN:1664-2368
1664-235X
DOI:10.1007/s13324-023-00848-0