Probability theory, function theory, mechanics : collection of survey papers 5th in a series honoring the 50th anniversary of the Institute

書誌事項

Probability theory, function theory, mechanics : collection of survey papers 5th in a series honoring the 50th anniversary of the Institute

edited by Yu.V. Prokhorov

(Proceedings of the Steklov Institute of Mathematics, v. 182, issue 1, 1990)

American Mathematical Society, c1990

タイトル別名

Теория вероятностей, теория функций, механика : сборник обзорных статей 5 к 50-летию Института

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注記

Translation of: Теория вероятностей, теория функций, механика

Number in Russian series statement: t. 182 (1988)

Includes bibliographical references

内容説明・目次

内容説明

This is a translation of the fifth and final volume in a special cycle of publications in commemoration of the 50th anniversary of the Steklov Mathematical Institute of the Academy of Sciences in the USSR. The purpose of the special cycle was to present surveys of work on certain important trends and problems pursued at the Institute. Because the choice of the form and character of the surveys were left up to the authors, the surveys do not necessarily form a comprehensive overview, but rather represent the authors' perspectives on the important developments. The survey papers in this collection range over a variety of areas, including - probability theory and mathematical statistics, metric theory of functions, approximation of functions, descriptive set theory, spaces with an indefinite metric, group representations, mathematical problems of mechanics and spaces of functions of several real variables and some applications.

目次

  • Introduction, E.F.Mishchenko
  • probabilistic-statistical methods of detecting spontaneously occurring effects, A.N.Kolmogorov et al
  • on real refinements of limit theorems in probability theory, V.M.Olotarev
  • on some aspects of prediction theory, Yu.A.Rozanov
  • normal approximation in finite-dimensional spaces and Hilbert spaces, V.V.Sazonov
  • investigations in the theory of spaces of differentiable functions of several variables, O.V.Besov et al
  • research in the theory of approximation of functions at the Mathematical Institute of the Academy of Sciences, S.A.Telyakovskil
  • on work in descriptive set theory carried out at the Mathematical Institute of the Academy of Sciences, V.N.Grishin et al
  • on the work of L.S.Pontryagin in the theory of functions and functional analysis, D.V.Anosov
  • on the scientific work of M.A. Naimark, D.P.Zhelobenko
  • mathematical problems of mechanics at the Mathematical Institute of the Academy of Sciences, V.P.Karabeinikav
  • strong discontinuities in flows of continuous media, and their structure, A.G.Kulikovskil.

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