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Zap. Nauchn. Sem. POMI, 2009, Volume 364, Pages 200–234 (Mi znsl3157)  

Weizsäcker phenomenon and Gaussian Lebesgue–Rokhlin space

V. N. Sudakov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: The notion of “Gaussian Lebesgue–Rokhlin space” is introduced. The definition is canonical, i.e., is given without use of topological and others irrelevant mathematical structures. The object under discussion completes the cathegoty of finite-dimensional Gaussian vector spaces. Some non-trivial examples are considered and historical comments are given. Bibl. – 30 titles.

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English version:
Journal of Mathematical Sciences (New York), 2010, 163:4, 430–445

UDC: 519
Received: 10.12.2008

Citation: V. N. Sudakov, “Weizsäcker phenomenon and Gaussian Lebesgue–Rokhlin space”, Probability and statistics. Part 14–2, Zap. Nauchn. Sem. POMI, 364, POMI, St. Petersburg, 2009, 200–234; J. Math. Sci. (N. Y.), 163:4 (2010), 430–445

Citation in format AMSBIB
\Bibitem{Sud09}
\by V.~N.~Sudakov
\paper Weizs\"acker phenomenon and Gaussian Lebesgue--Rokhlin space
\inbook Probability and statistics. Part~14--2
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 364
\pages 200--234
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3157}
\elib{https://elibrary.ru/item.asp?id=13759388}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 163
\issue 4
\pages 430--445
\crossref{https://doi.org/10.1007/s10958-009-9684-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70549106848}


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