Book Review
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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
- [FS] F. Folland and E. Stein, Hardy spaces on homogeneous groups, Math. Notes, vol. 28, Princeton Univ. Press, Princeton, N. J., 1982. MR 0657581
- [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:
https://doi.org/10.1090/S0273-0979-1989-15786-8