On a Sufficient Condition for the Existence of Unconditional Bases of Reproducing Kernels in Hilbert Spaces of Entire Functions

We consider a reproducing kernel radial Hilbert space of entire functions and prove a sufficient condition for the existence of unconditional bases of reproducing kernels in terms of norms of monomials. Let the system of monomials is complete in a radial Hilbert space of entire functions , and If fo...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics 2021-06, Vol.42 (6), p.1154-1165
Main Authors: Isaev, K. P., Yulmukhametov, R. S.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Entire functions
Geometry
Hilbert space
Kernels
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Norms
Probability Theory and Stochastic Processes
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Summary:We consider a reproducing kernel radial Hilbert space of entire functions and prove a sufficient condition for the existence of unconditional bases of reproducing kernels in terms of norms of monomials. Let the system of monomials is complete in a radial Hilbert space of entire functions , and If for some natural number the condition holds, then possesses unconditional basis of reproducing kernels.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080221060093