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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 221, Pages 145–166 (Mi znsl4301)  
This article is cited in 1 scientific paper (total in 1 paper)

The Bergman kernel and the Green function

V. A. Malyshev

Rybinsk State Aviation Technological Academy
Full-text PDF (662 kB) Citations (1)
Abstract: Definition of the Bergman space for an arbitrary operator is given. Sufficient conditions for the existence of the Bergman kernel for this space are obtained. For an elliptic operator, the Bergman kernel is represented via the Green function. Bibliography: 12 titles.
Received: 10.01.1995
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 87, Issue 2, Pages 3366–3380
DOI: https://doi.org/10.1007/BF02355588
Bibliographic databases:
Document Type: Article
UDC: 519.632
Language: Russian
Citation: V. A. Malyshev, “The Bergman kernel and the Green function”, Boundary-value problems of mathematical physics and related problems of function theory. Part 26, Zap. Nauchn. Sem. POMI, 221, POMI, St. Petersburg, 1995, 145–166; J. Math. Sci. (New York), 87:2 (1997), 3366–3380
Citation in format AMSBIB
\Bibitem{Mal95}
\by V.~A.~Malyshev
\paper The Bergman kernel and the Green function
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 221
\pages 145--166
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4301}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1359754}
\zmath{https://zbmath.org/?q=an:0927.32001|0885.32021}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 87
\issue 2
\pages 3366--3380
\crossref{https://doi.org/10.1007/BF02355588}
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  • https://www.mathnet.ru/eng/znsl/v221/p145
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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