Book Review
The AMS does not provide abstracts of book reviews.
You may download the entire review from the links below.
MathSciNet review:
1568192
Full text of review:
PDF
This review is available free of charge.
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.
Jan Boman and Eric Todd Quinto, Support theorems for real-analytic Radon transforms, Duke Math. J. 55 (1987), no. 4, 943–948. MR 916130, DOI 10.1215/S0012-7094-87-05547-5
[2] E. Cartan, Oeuvres complètes, Volume I, Editions du Centre National de la Recherche Scientifique, France, 1984.
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, DOI 10.1007/978-3-642-72956-0
Victor Guillemin and Shlomo Sternberg, Geometric asymptotics, Mathematical Surveys, No. 14, American Mathematical Society, Providence, R.I., 1977. MR 0516965
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
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
- [1]
- J. Boman and E. Quinto, Support theorems for real analytic Radon transforms, Duke Math. J. 55 (1987), 943-948. MR 916130 (89m:44004)
- [2]
- E. Cartan, Oeuvres complètes, Volume I, Editions du Centre National de la Recherche Scientifique, France, 1984.
- [3]
- R. Gangolli and V. Varadarajan, Harmonic analysis of spherical functions on real reductive groups, Springer-Verlag, Berlin and New York, 1988. MR 954385 (89m:22015)
- [4]
- V. Guillemin and S. Sternberg, Geometric asymptotics, Math. Surveys Monographs, vol. 14, Amer. Math. Soc., Providence, RI, 1977. MR 0516965 (58:24404)
- [5]
- S. Helgason, Differential geometry, Lie groups and symmetric spaces, Academic Press, New York, 1978. MR 514561 (80k:53081)
- [6]
- -, Groups and geometric analysis, Academic Press, New York, 1984. MR 754767 (86c:22017)
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
