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Izvestiya: Mathematics, 2022, Volume 86, Issue 1, Pages 150–168
DOI: https://doi.org/10.1070/IM9071 (Mi im9071) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Unconditional bases in radial Hilbert spaces

K. P. Isaevab, R. S. Yulmukhametovab

a Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa
b Bashkir State University, Ufa
English version PDF (509 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/IM9071
Abstract: We prove necessary and (separate) sufficient conditions for the existence of unconditional bases of reproducing kernels in abstract radial Hilbert function spaces that are stable under division, in terms of the norms of monomials.
Keywords: Hilbert spaces, entire functions, unconditional bases, reproducing kernels.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2021-1393
This paper was written in the framework of of the development programme of the Scientific and Educational Mathematical Centre of Privolzhsky Federal District (contract no. 075-02-2021-1393).
Received: 15.06.2020
Revised: 30.12.2020
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: 46B15, 46E22, 30D10
Language: English
Original paper language: Russian
Citation: K. P. Isaev, R. S. Yulmukhametov, “Unconditional bases in radial Hilbert spaces”, Izv. Math., 86:1 (2022), 150–168
Citation in format AMSBIB
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\by K.~P.~Isaev, R.~S.~Yulmukhametov
\paper Unconditional bases in radial Hilbert spaces
\jour Izv. Math.
\yr 2022
\vol 86
\issue 1
\pages 150--168
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\crossref{https://doi.org/10.1070/IM9071}
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Linking options:
  • https://www.mathnet.ru/eng/im9071
  • https://doi.org/10.1070/IM9071
  • https://www.mathnet.ru/eng/im/v86/i1/p160
    • This publication is cited in the following 4 articles:
    1. K. P. Isaev, R. S. Yulmukhametov, “Borel transforms of functions in parametrized family of Hilbert spaces”, Ufa Math. J., 16:4 (2024), 21–39  mathnet  crossref
    2. K. P. Isaev, R. S. Yulmukhametov, “On a criterion for the existence of unconditional bases of reproducing kernels in Fock spaces with radial regular weight”, Journal of Mathematical Analysis and Applications, 519:2 (2023), 126839  crossref  mathscinet  zmath
    3. K. P. Isaev, A. V. Lutsenko, R. S. Yulmukhametov, “On a sufficient condition for the existence of unconditional bases of reproducing kernels in Fock type spaces with nonradial weights”, Anal. Math. Phys., 13:6 (2023), 83  crossref  mathscinet
    4. K. P. Isaev, A. V. Lutsenko, R. S. Yulmukhametov, “Entire functions of sine type for convex apeirogons”, Lobachevskii J. Math., 44:5 (2023), 1847–1853  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:506
    Russian version PDF:61
    English version PDF:35
    Russian version HTML:220
    References:84
    First page:19
     
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