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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: 1568135
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: Alessandro Fig\`a-Talamanca and Claudio Nebbia
Title: Harmonic analysis and represention theory for groups acting on homogeneous trees
Additional book information: London Mathematical Society Lecture Notes Series, vol. 162, Cambridge University Press, Cambridge, New York, Port Chester, Melbourne, and Sydney, 1991, ix + 151 pp., US$29.95. ISBN 0-521-42444-5.

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

  • F. Bruhat and J. Tits, Groupes réductifs sur un corps local, Inst. Hautes Études Sci. Publ. Math. 41 (1972), 5–251 (French). MR 327923
  • P. Cartier, Fonctions harmoniques sur un arbre, Symposia Mathematica, Vol. IX (Convegno di Calcolo delle Probabilità, INDAM, Rome, 1971) Academic Press, London, 1972, pp. 203–270 (French). MR 0353467
  • Alessandro Figà-Talamanca and Massimo A. Picardello, Harmonic analysis on free groups, Lecture Notes in Pure and Applied Mathematics, vol. 87, Marcel Dekker, Inc., New York, 1983. MR 710827
  • Jean-Pierre Serre, Arbres, amalgames, $\textrm {SL}_{2}$, Astérisque, No. 46, Société Mathématique de France, Paris, 1977 (French). Avec un sommaire anglais; Rédigé avec la collaboration de Hyman Bass. MR 0476875
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    Review Information:

    Reviewer: Carl Herz
    Journal: Bull. Amer. Math. Soc. 31 (1994), 271-274
    DOI: https://doi.org/10.1090/S0273-0979-1994-00530-0