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Zapiski Nauchnykh Seminarov POMI, 2014, Volume 424, Pages 126–140 (Mi znsl6010)  
This article is cited in 3 scientific papers (total in 3 papers)

On an analog of Blaschke products for Hilbert spaces with Nevanlinna–Pick kernels

I. V. Videnskii

St. Petersburg State University, St. Petersburg, Russia
Full-text PDF (200 kB) Citations (3)
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Abstract: We investigate the convergence of an infinite product of multipliers for a Hilbert space with Nevanlinna-Pick kernel. It is natural to view these products as an analog of Blaschke products in the algebra $H^\infty$.
Key words and phrases: Hilbert space, reproducing kernel, multipliers.
Received: 09.07.2014
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 209, Issue 5, Pages 743–752
DOI: https://doi.org/10.1007/s10958-015-2522-2
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: I. V. Videnskii, “On an analog of Blaschke products for Hilbert spaces with Nevanlinna–Pick kernels”, Investigations on linear operators and function theory. Part 42, Zap. Nauchn. Sem. POMI, 424, POMI, St. Petersburg, 2014, 126–140; J. Math. Sci. (N. Y.), 209:5 (2015), 743–752
Citation in format AMSBIB
\Bibitem{Vid14}
\by I.~V.~Videnskii
\paper On an analog of Blaschke products for Hilbert spaces with Nevanlinna--Pick kernels
\inbook Investigations on linear operators and function theory. Part~42
\serial Zap. Nauchn. Sem. POMI
\yr 2014
\vol 424
\pages 126--140
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6010}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3481445}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 209
\issue 5
\pages 743--752
\crossref{https://doi.org/10.1007/s10958-015-2522-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84956794540}
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  • https://www.mathnet.ru/eng/znsl/v424/p126
    • 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
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