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Problemy Analiza — Issues of Analysis, 2021, Volume 10(28), Issue 3, Pages 41–52
DOI: https://doi.org/10.15393/j3.art.2021.10910 (Mi pa330) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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

K. P. Isaev, R. S. Yulmukhametov

Institute of Mathematics, Ufa Federal Research Centre, Russian Academy of Sciences (Institute of Mathematics UFRC RAS), 112, Chernyshevsky str., Ufa, Russia, 450008
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DOI: https://doi.org/10.15393/j3.art.2021.10910
Abstract: We consider a reproducing kernel radial Hilbert space of entire functions and prove the equivalence of several sufficient conditions for the existence of unconditional bases of reproducing kernels in such spaces.
Keywords: Hilbert spaces, entire functions, reproducing kernels, unconditional bases, Riesz bases.
Funding agency Grant number
Russian Science Foundation 21-11-00168
The research was supported by the grant of Russian Science Foundation (project no. 21-11-00168).
Received: 24.05.2021
Revised: 04.10.2021
Accepted: 05.10.2021
Bibliographic databases:
Document Type: Article
UDC: 517.53
MSC: 46E22, 30D10
Language: English
Citation: K. P. Isaev, R. S. Yulmukhametov, “Equivalent conditions for the existence of unconditional bases of reproducing kernels in spaces of entire functions”, Probl. Anal. Issues Anal., 10(28):3 (2021), 41–52
Citation in format AMSBIB
\Bibitem{IsaYul21}
\by K.~P.~Isaev, R.~S.~Yulmukhametov
\paper Equivalent conditions for the existence of unconditional bases of reproducing kernels in spaces of entire functions
\jour Probl. Anal. Issues Anal.
\yr 2021
\vol 10(28)
\issue 3
\pages 41--52
\mathnet{http://mi.mathnet.ru/pa330}
\crossref{https://doi.org/10.15393/j3.art.2021.10910}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000710713600001}
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    • This publication is cited in the following 2 articles:
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