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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 2020 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.


Errata to Groups and Geometric Analysis: Bull. Amer. Math. Soc. (N.S.), Volume 22, Number 2 (1990), 348--349
MathSciNet review: 1790156
Full text of review: PDF   This review is available free of charge.
Book Information:

Author: Sigurdur Helgason
Title: Groups and geometric analysis. Integral geometry, invariant differential operators and spherical functions
Additional book information: Academic Press, Orlando, 1984, xviii + 654 pp., $39.50. ISBN 0-12-338301-3.

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

  • G. B. Folland and Elias M. Stein, Hardy spaces on homogeneous groups, Mathematical Notes, vol. 28, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1982. MR 657581
  • Stephen Gelbart, Holomorphic discrete series for the real symplectic group, Invent. Math. 19 (1973), 49–58. MR 320231, DOI 10.1007/BF01418850
  • Roe W. Goodman, Nilpotent Lie groups: structure and applications to analysis, Lecture Notes in Mathematics, Vol. 562, Springer-Verlag, Berlin-New York, 1976. MR 0442149
  • V. Guillemin and S. Sternberg, Convexity properties of the moment mapping, Invent. Math. 67 (1982), no. 3, 491–513. MR 664117, DOI 10.1007/BF01398933
  • V. Guillemin and S. Sternberg, Geometric quantization and multiplicities of group representations, Invent. Math. 67 (1982), no. 3, 515–538. MR 664118, DOI 10.1007/BF01398934
  • Bernard Helffer and Jean Nourrigat, Hypoellipticité maximale pour des opérateurs polynômes de champs de vecteurs, Progress in Mathematics, vol. 58, Birkhäuser Boston, Inc., Boston, MA, 1985 (French). MR 897103
  • R. Howe, $\theta$-series and invariant theory, Automorphic forms, representations and $L$-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977) Proc. Sympos. Pure Math., XXXIII, Amer. Math. Soc., Providence, R.I., 1979, pp. 275–285. MR 546602

  • Review Information:

    Reviewer: Roger Howe
    Journal: Bull. Amer. Math. Soc. 20 (1989), 252-256
    DOI: https://doi.org/10.1090/S0273-0979-1989-15786-8