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Matematicheskie Zametki, 1969, Volume 6, Issue 3, Pages 301–307 (Mi mzm6936)  

This article is cited in 11 scientific papers (total in 11 papers)

On a theorem of S. N. Bernshtein

A. L. Rukhin

Leningrad Department of V. A. Steklov Institute of Mathematics, USSR Academy of Sciences
Abstract: This note contains the proof of a theorem on the characterization of a normal law on locally compact Abelian groups, this theorem being a generalization of S. N. Bernshtein's wellknown characterization of the normal law by the property that sums and differences of two independent random variables are also random variables.
Received: 11.10.1967
English version:
Mathematical Notes, 1969, Volume 6, Issue 3, Pages 638–641
DOI: https://doi.org/10.1007/BF01119683
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: A. L. Rukhin, “On a theorem of S. N. Bernshtein”, Mat. Zametki, 6:3 (1969), 301–307; Math. Notes, 6:3 (1969), 638–641
Citation in format AMSBIB
\Bibitem{Ruk69}
\by A.~L.~Rukhin
\paper On a~theorem of S.\,N.~Bernshtein
\jour Mat. Zametki
\yr 1969
\vol 6
\issue 3
\pages 301--307
\mathnet{http://mi.mathnet.ru/mzm6936}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=253455}
\zmath{https://zbmath.org/?q=an:0195.20301|0184.22604}
\transl
\jour Math. Notes
\yr 1969
\vol 6
\issue 3
\pages 638--641
\crossref{https://doi.org/10.1007/BF01119683}
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  • https://www.mathnet.ru/eng/mzm/v6/i3/p301
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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