Bulletin of the American Mathematical Society

MathSciNet review: 1567841
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Book Information:

Author: Audrey Terras
Title: Harmonic analysis on symmetric spaces and applications
Additional book information: Springer-Verlag, Berlin, Heidelberg and New York, 1985, xii + 341 pp., $39.00 (paper), vol. 1. ISBN 0-387-96159-3 and 1988, x + 385 pp., $45.00 (paper), vol. 2 ISBN 0-387-96663-3.

I. M. Gel′fand, M. I. Graev, and I. I. Pyatetskii-Shapiro, Representation theory and automorphic functions, W. B. Saunders Co., Philadelphia, Pa.-London-Toronto, Ont., 1969. Translated from the Russian by K. A. Hirsch. MR 0233772

[G1] R. Godement, The decomposition of L Γ = SL(2, Z), Proc. Sympos. Pure Math. vol. 9, Amer. Math. Soc., Providence, R. I., 1966.

[G2] R. Godement, The spectral decomposition of cuspforms, ibid.

[He] D. Hejhal, The Selberg trace formula for PSL(2, R), I, II, Lecture Notes in Math., vols. 548 and 1001, Springer-Verlag, Berlin and New York, 1976 and 1983.

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

H. Jacquet and R. P. Langlands, Automorphic forms on $\textrm {GL}(2)$, Lecture Notes in Mathematics, Vol. 114, Springer-Verlag, Berlin-New York, 1970. MR 0401654

Anthony W. Knapp, Representation theory of semisimple groups, Princeton Mathematical Series, vol. 36, Princeton University Press, Princeton, NJ, 1986. An overview based on examples. MR 855239, DOI 10.1515/9781400883974

A. Selberg, Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series, J. Indian Math. Soc. (N.S.) 20 (1956), 47–87. MR 88511

[GG] I. M. Gelfand, M. I. Graev, and I. I. Piatetski-Shapiro, Representation theory and automorphic functions, W. B. Saunders, Philadelphia, 1969. MR 0233772




[G1] R. Godement, The decomposition of L Γ = SL(2, Z), Proc. Sympos. Pure Math. vol. 9, Amer. Math. Soc., Providence, R. I., 1966.




[G2] R. Godement, The spectral decomposition of cuspforms, ibid.




[He] D. Hejhal, The Selberg trace formula for PSL(2, R), I, II, Lecture Notes in Math., vols. 548 and 1001, Springer-Verlag, Berlin and New York, 1976 and 1983.




[H] S. Helgason, Groups and geometric analysis, Academic Press, New York, 1984. MR 754767




[JL] H. Jacquet and R. P. Langlands, Automorphic forms on GL(2), Lecture Notes in Math., vol. 144, Springer-Verlag, Berlin and New York, 1970. MR 401654




[K] A. Knapp, Representation theory of semisimple groups, Princeton Univ. Press, Princeton, New Jersey, 1986. MR 855239




[S] A. Selberg, Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series, J. Indian Math. Soc. 20 (1956), 47-87. MR 88511