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Book Review

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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
  • [Ge] S. Gelbart, Holomorphic discrete series for the real symplectic group, Invent. Math. 19 (1973), 49-58. MR 320231
  • [Gd] R. Goodman, Nilpotent Lie groups: Structure and applications to analysis, Lecture Notes in Math., vol. 562, Springer-Verlag, Berlin and New York, etc., 1976. MR 442149
  • V. Guillemin and S. Sternberg, Convexity properties of the moment mapping, Invent. Math. 67 (1982), no. 3, 491–513. MR 664117, https://doi.org/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, https://doi.org/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, 𝜃-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
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