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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
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.
-
G.
B. Folland and Elias
M. Stein, Hardy spaces on homogeneous groups, Mathematical
Notes, vol. 28, Princeton University Press, Princeton, N.J., 1982. MR 657581
(84h:43027)
-
Stephen
Gelbart, Holomorphic discrete series for the real symplectic
group, Invent. Math. 19 (1973), 49–58. MR 0320231
(47 #8770)
-
Roe
W. Goodman, Nilpotent Lie groups: structure and applications to
analysis, Lecture Notes in Mathematics, Vol. 562, Springer-Verlag,
Berlin, 1976. MR
0442149 (56 #537)
-
V.
Guillemin and S.
Sternberg, Convexity properties of the moment mapping, Invent.
Math. 67 (1982), no. 3, 491–513. MR 664117
(83m:58037), http://dx.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 (83m:58040), http://dx.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 (88i:35029)
-
R.
Howe, 𝜃-series and invariant theory, Automorphic
forms, representations and 𝐿-functions (Proc. Sympos. Pure Math.,
Oregon State Univ., Corvallis, Ore., 1977), Part 1, Proc. Sympos. Pure
Math., XXXIII, Amer. Math. Soc., Providence, R.I., 1979,
pp. 275–285. MR 546602
(81f:22034)
- [FS] F. Folland and E. Stein, Hardy spaces on homogeneous groups, Math. Notes, vol. 28, Princeton Univ. Press, Princeton, N. J., 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
- [GS1] V. Guillemin and S. Sternberg, Convexity properties of the moment map, Invent. Math. 67 (1982), 491-513. MR 664117
- [GS2] V. Guillemin and S. Sternberg, Geometric quantization and multiplicities of group representations, Invent. Math. 67 (1982), 515-538. MR 664118
- [HN] B. Helffer and J. Nourrigat, Hypoellipticité maximale pour des opérateurs polynômes de champs de vecteurs, Progress in Math., vol. 58, Birkhäuser, Boston, 1985. MR 897103
- [Ho. ] R. Howe, θ-series and invariant theory, Automorphic Forms, Representations and L-Functions, Part I (A. Borel and W. Casselman, eds.), Proc. Sympos. Pure Math., vol. 33, Amer. Math. Soc., Providence, R. I., 1979. MR 546602
Review Information
Reviewer:
Roger Howe
Journal:
Bull. Amer. Math. Soc. 20 (1989), 252-256
DOI:
http://dx.doi.org/10.1090/S0273-0979-1989-15786-8
PII:
S 0273-0979(1989)15786-8
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