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Bulletin of the American Mathematical Society

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

Book Review

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Book Information:

Author: Sigurdur Helgason
Title: Geometric analysis on symmetric spaces
Additional book information: Math. Surveys Monographs, vol. 39, Amer. Math. Soc., Providence, RI, 1994, xiv+611 pp., US$71.00. ISBN 0-8218-1538-5.

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

  • [1] Jan Boman and Eric Todd Quinto, Support theorems for real-analytic Radon transforms, Duke Math. J. 55 (1987), no. 4, 943–948. MR 916130, https://doi.org/10.1215/S0012-7094-87-05547-5
  • [2] E. Cartan, Oeuvres complètes, Volume I, Editions du Centre National de la Recherche Scientifique, France, 1984.
  • [3] Ramesh Gangolli and V. S. Varadarajan, Harmonic analysis of spherical functions on real reductive groups, Ergebnisse der Mathematik und ihrer Grenzgebiete [Results in Mathematics and Related Areas], vol. 101, Springer-Verlag, Berlin, 1988. MR 954385
  • [4] Victor Guillemin and Shlomo Sternberg, Geometric asymptotics, American Mathematical Society, Providence, R.I., 1977. Mathematical Surveys, No. 14. MR 0516965
  • [5] Sigurdur Helgason, Differential geometry, Lie groups, and symmetric spaces, Pure and Applied Mathematics, vol. 80, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. MR 514561
  • [6] Sigurdur Helgason, Groups and geometric analysis, Pure and Applied Mathematics, vol. 113, Academic Press, Inc., Orlando, FL, 1984. Integral geometry, invariant differential operators, and spherical functions. MR 754767

Review Information:

Reviewer: François Rouvière
Journal: Bull. Amer. Math. Soc. 32 (1995), 441-446
DOI: https://doi.org/10.1090/S0273-0979-1995-00602-6