Description

Book Synopsis
Provides a comprehensive and self-contained overview of the current state of the theory of characterization problems on locally compact Abelian groups. The book will be useful to everyone with some familiarity of abstract harmonic analysis who is interested in probability distributions and functional equations on groups.

Table of Contents
  • Preliminaries
  • Independent random variables with independent sum and difference
  • Characterization of probability distributions through the independence of linear forms
  • Characterization of probability distributions through the symmetry of the conditional distribution of one linear form given another
  • Characterization theorems on the field of $p$-adic numbers
  • Miscellaneous characterization theorems
  • Bibliography
  • Index
  • Index of symbols

Characterization of Probability Distributions on

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    A Paperback by Gennadiy Feldman

    7 in stock


      View other formats and editions of Characterization of Probability Distributions on by Gennadiy Feldman

      Publisher: MP-AMM American Mathematical
      Publication Date: 7/1/2023 12:00:00 AM
      ISBN13: 9781470472955, 978-1470472955
      ISBN10: 1470472953
      Also in:
      Probability and statistics

      Description

      Book Synopsis
      Provides a comprehensive and self-contained overview of the current state of the theory of characterization problems on locally compact Abelian groups. The book will be useful to everyone with some familiarity of abstract harmonic analysis who is interested in probability distributions and functional equations on groups.

      Table of Contents
      • Preliminaries
      • Independent random variables with independent sum and difference
      • Characterization of probability distributions through the independence of linear forms
      • Characterization of probability distributions through the symmetry of the conditional distribution of one linear form given another
      • Characterization theorems on the field of $p$-adic numbers
      • Miscellaneous characterization theorems
      • Bibliography
      • Index
      • Index of symbols

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