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Ufa Mathematical Journal, 2013, Volume 5, Issue 4, Pages 88–100
DOI: https://doi.org/10.13108/2013-5-4-88 (Mi ufa225) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Orthosimilar expansion systems in space with reproducing kernel

V. V. Napalkov (Jr.)

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa, Russia
English version PDF (351 kB) Citations (5)
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DOI: https://doi.org/10.13108/2013-5-4-88
Abstract: We study expansion system similar to orthogonal ones (orthosimilar systems) in reproducing kernel Hilbert spaces. We establish the equivalency of two definitions of orthosimilar system. We show the relation of orthosimilar system with the problem on description of the dual space to a Hilbert space in terms of a special system of functions.
Keywords: Bergman space, Hilbert spaces, reproducing kernel, reproducing kernel Hilbert space, Paley-Wiener theorem.
Received: 19.06.2013
Russian version:
Ufimskii Matematicheskii Zhurnal, 2013, Volume 5, Issue 4, Pages 91–104
Bibliographic databases:
Document Type: Article
UDC: 517.5
MSC: 30H20, 30E10, 30E20, 32A26, 46E22, 47B32
Language: English
Original paper language: Russian
Citation: V. V. Napalkov (Jr.), “Orthosimilar expansion systems in space with reproducing kernel”, Ufimsk. Mat. Zh., 5:4 (2013), 91–104; Ufa Math. J., 5:4 (2013), 88–100
Citation in format AMSBIB
\Bibitem{Nap13}
\by V.~V.~Napalkov (Jr.)
\paper Orthosimilar expansion systems in space with reproducing kernel
\jour Ufimsk. Mat. Zh.
\yr 2013
\vol 5
\issue 4
\pages 91--104
\mathnet{http://mi.mathnet.ru/ufa225}
\elib{https://elibrary.ru/item.asp?id=20930480}
\transl
\jour Ufa Math. J.
\yr 2013
\vol 5
\issue 4
\pages 88--100
\crossref{https://doi.org/10.13108/2013-5-4-88}
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  • https://www.mathnet.ru/eng/ufa/v5/i4/p91
    • This publication is cited in the following 5 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:626
    Russian version PDF:264
    English version PDF:20
    References:98
    First page:2
     
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