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Matematicheskie Zametki, 1976, Volume 20, Issue 6, Pages 825–834 (Mi mzm7911)  
This article is cited in 1 scientific paper (total in 1 paper)

The existence and uniqueness of a solution of Poisson's equation for generalized measures in an infinite-dimensional space

V. Yu. Bentkus

M. V. Lomonosov Moscow State University
Full-text PDF (694 kB) Citations (1)
Abstract: It is proved that a solution of Poisson's equation in the space of generalized measures on an infinite-dimensional, separable Hilbert space exists and is unique. Any generalized function concentrated at a point in an infinite-dimensional Hilbert space is equal to zero.
Received: 28.05.1975
English version:
Mathematical Notes, 1976, Volume 20, Issue 6, Pages 1020–1025
DOI: https://doi.org/10.1007/BF01095195
Bibliographic databases:
UDC: 513.8
Language: Russian
Citation: V. Yu. Bentkus, “The existence and uniqueness of a solution of Poisson's equation for generalized measures in an infinite-dimensional space”, Mat. Zametki, 20:6 (1976), 825–834; Math. Notes, 20:6 (1976), 1020–1025
Citation in format AMSBIB
\Bibitem{Ben76}
\by V.~Yu.~Bentkus
\paper The existence and uniqueness of a~solution of Poisson's equation for generalized measures in an infinite-dimensional space
\jour Mat. Zametki
\yr 1976
\vol 20
\issue 6
\pages 825--834
\mathnet{http://mi.mathnet.ru/mzm7911}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=445291}
\zmath{https://zbmath.org/?q=an:0348.28007}
\transl
\jour Math. Notes
\yr 1976
\vol 20
\issue 6
\pages 1020--1025
\crossref{https://doi.org/10.1007/BF01095195}
Linking options:
  • https://www.mathnet.ru/eng/mzm7911
  • https://www.mathnet.ru/eng/mzm/v20/i6/p825
    • This publication is cited in the following 1 articles:
    1. V. I. Bogachev, “Differentiable measures and the Malliavin calculus”, J Math Sci, 87:4 (1997), 3577  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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