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Book Review
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Book Information
Author(s):
V. S. Varadarajan
Title:
Harmonic analysis on real reductive groups
Additional book information:
Lecture Notes in Math., vol. 576, Springer-Verlag, Berlin, Heidelberg, New York, 1977, 521 pp., $17.20
References:
- 1.
- M. Atiyah and W. Schmid, A geometric construction of the discrete series for semisimple Lie groups, Invent. Math. 42 (1977), 1-62. MR 463358
- 2.
- V. Bargmann, Irreducible unitary representations of the Lorentz group, Ann, of Math. (2) 48 (1947), 568-640. MR 21942
- 3.
- J. Dixmier, Les C*-algèbres et leurs représentations, Gauthier-Villars, Paris, 1964. MR 171173
- 4.
- Harish-Chandra, (a) Discrete series for semi-simple Lie groups. I, II, Acta Math. 113 (1965), 241-318; 116 (1966), 1-111.
- Harish-Chandra, (b) Harmonic analysis on reductive p-adic groups, Lecture Notes in Math., vol. 162, Springer-Verlag, Berlin and New York, 1970. MR 414797
- Harish-Chandra, (c) Harmonic analysis on real reductive groups. I. The theory of the constant term, J. Functional Analysis 19 (1975), 104-204. MR 399356
- 5.
- R. Herb, Characters of averaged discrete series on semisimple real Lie groups, Pacific J. Math. (to appear). MR 534706
- 6.
- T. Hirai, Invariant eigendistributions of Laplace operators on real simple Lie groups. IV, Characters of discrete series for Sp(n, R), Japan. J. Math. 3 (1977), 1-48. MR 578896
- 7.
- R. Langlands, The dimension of spaces of automorphic forms, Algebraic Groups and Discontinuous Subgroups, Proc. Sympos. Pure Mathematics, vol. 9, Amer. Math. Soc., Providence, R.I., 1966, pp. 253-257. MR 212135
- 8.
- G. Mackey, The theory of group representations, Lecture Notes, Univ. of Chicago, 1955. (Republished, Univ. of Chicago Press, 1975.)
- 9.
- M. S. Narasimhan and K. Okamoto, An analogue of the Borel-Weil theorem for Hermitian symmetric pairs of noncompact type, Ann. of Math. (2) 91 (1970), 486-511. MR 274657
- 10.
- R. Parthasarathy, Dirac operators and the discrete series, Ann. of Math. (2) 96 (1972), 1-30. MR 318398
- 11.
- W. Schmid, (a) On a conjecture of Langlands, Ann. of Math. (2) 93 (1971), 1-42. MR 286942
- W. Schmid, (b) On the characters of the discrete series, Invent. Math. 30 (1975), 47-144. MR 396854
- 12.
- G. Warner, Harmonic analysis on semi-simple Lie groups. I, II, Springer-Verlag, New York, 1972. MR 498999
- 12.
- E. Wigner, On unitary representations of the inhomogeneous Lorentz group, Ann. of Math. (2) 40 (1939), 149-204. MR 1503456
Additional Information:
Reviewer(s):
Rebecca A.
Herb
Review Information:
Journal:
Bull. Amer. Math. Soc.
1
(1979),
398-401.
DOI:
10.1090/S0273-0979-1979-14614-7
PII:
S 0273-0979(1979)14614-7
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