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Ufa Mathematical Journal, 2013, Volume 5, Issue 3, Pages 67–76
DOI: https://doi.org/10.13108/2013-5-3-67
(Mi ufa210)
 

This article is cited in 15 scientific papers (total in 15 papers)

Unconditional bases of reproducing kernels in Hilbert spaces of entire functions

K. P. Isaev, R. S. Yulmukhametov

Institute of Mathematics USC RAS, Chernyshevsky str., 112, 450008, Ufa, Russia
References:
Abstract: We consider the existence of unconditional bases of reproducing kernels in a functional Hilbert space of entire functions. It is proved that under certain conditions, unconditional bases of reproducing kernels do not exist. It is shown that in particular spaces some known theorems on the absence of unconditional bases are the consequences of these results.
Keywords: Hilbert spaces, entire functions, reproducing kernels, unconditional bases.
Received: 12.12.2012
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: English
Original paper language: Russian
Citation: K. P. Isaev, R. S. Yulmukhametov, “Unconditional bases of reproducing kernels in Hilbert spaces of entire functions”, Ufa Math. J., 5:3 (2013), 67–76
Citation in format AMSBIB
\Bibitem{IsaYul13}
\by K.~P.~Isaev, R.~S.~Yulmukhametov
\paper Unconditional bases of reproducing kernels in Hilbert spaces of entire functions
\jour Ufa Math. J.
\yr 2013
\vol 5
\issue 3
\pages 67--76
\mathnet{http://mi.mathnet.ru/eng/ufa210}
\crossref{https://doi.org/10.13108/2013-5-3-67}
\elib{https://elibrary.ru/item.asp?id=20930801}
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  • https://doi.org/10.13108/2013-5-3-67
  • https://www.mathnet.ru/eng/ufa/v5/i3/p67
  • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Уфимский математический журнал
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    Abstract page:557
    Russian version PDF:255
    English version PDF:45
    References:99
    First page:2
     
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