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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.


MathSciNet review: 1568153
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: G. M. Fel\cprime dman
Title: Arithmetic of probability distributions and characterization problems on Abelian groups
Additional book information: Translations of Mathematical Monographs, vol.\ 116 (Simeon Ivanov, ed.), American Mathematical Society, Providence, RI, 1993, v + 223 pp., US$127.00. ISBN 0-8218-4593-4.

References [Enhancements On Off] (What's this?)

  • Roger Cuppens, Decomposition of multivariate probabilities, Probability and Mathematical Statistics, Vol. 29, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1975. MR 0517412
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    D. Dugué, Arithmétique des lois de probabilités, Mém. Sci. Math., Fase. 137, Gauthier-Villars, Paris, 1957.
  • G. M. Fel′dman, The Cauchy distribution on abelian groups and its characterization, Teor. Veroyatnost. i Primenen. 36 (1991), no. 4, 711–723 (Russian); English transl., Theory Probab. Appl. 36 (1991), no. 4, 670–681 (1992). MR 1147172, DOI 10.1137/1136084
    • [4]
    A. I. Khintchine, Contribution à l'arithmétique des lois de distribution, Bull. Univ. d'Etat Moscou Sér. Internat. Sect. A Math. Méch. 1 (1937), 6-17.
  • Y.-V. Linnik, Décompositions des lois de probabilités, Gauthier-Villars Éditeur, Paris, 1962 (French). Traduit par M. L. Gruel. MR 0181000
    • Review Information:

    Reviewer: Herbert Heyer
    Journal: Bull. Amer. Math. Soc. 32 (1995), 120-125
    DOI: https://doi.org/10.1090/S0273-0979-1995-00547-1