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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

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.

UDC: 519

Received: 10.12.2008


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

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