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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 3 scientific papers (total in 3 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 (3)
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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
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2022, Volume 86, Issue 1, Pages 160–179
DOI: https://doi.org/10.4213/im9071
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. RAN. Ser. Mat., 86:1 (2022), 160–179; Izv. Math., 86:1 (2022), 150–168
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM9071
  • https://www.mathnet.ru/eng/im/v86/i1/p160
    • This publication is cited in the following 3 articles:
    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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    Russian version PDF:45
    English version PDF:24
    Russian version HTML:174
    References:62
    First page:19
     
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