Book Review
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MathSciNet review:
1568041
Full text of review:
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Book Information:
Author:
V. S. Varadarajan
Title:
An introduction to harmonic analysis on semisimple Lie groups
Additional book information:
Cambridge Studies in Advanced Math., vol. 16, Cambridge Univ. Press, Cambridge and New York, 1989, x+316 pp., US$69.50. ISBN 0-521-34156-6.
Sigurdur Helgason, Differential geometry, Lie groups, and symmetric spaces, Pure and Applied Mathematics, vol. 80, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1978. MR 514561
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
James E. Humphreys, Introduction to Lie algebras and representation theory, Graduate Texts in Mathematics, Vol. 9, Springer-Verlag, New York-Berlin, 1972. MR 0323842
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
Serge Lang, $\textrm {SL}_{2}(\textbf {R})$, Addison-Wesley Publishing Co., Reading, Mass.-London-Amsterdam, 1975. MR 0430163
Mitsuo Sugiura, Unitary representations and harmonic analysis, 2nd ed., North-Holland Mathematical Library, vol. 44, North-Holland Publishing Co., Amsterdam; Kodansha, Ltd., Tokyo, 1990. An introduction. MR 1049151
Nolan R. Wallach, Real reductive groups. I, Pure and Applied Mathematics, vol. 132, Academic Press, Inc., Boston, MA, 1988. MR 929683
8. *G. Warner, Harmonic analysis on semisimple Lie groups. I, II, Springer, New York, 1972.
V. S. Varadarajan, An introduction to harmonic analysis on semisimple Lie groups, Cambridge Studies in Advanced Mathematics, vol. 16, Cambridge University Press, Cambridge, 1989. MR 1071183
V. S. Varadarajan, Lie groups, Lie algebras, and their representations, Graduate Texts in Mathematics, vol. 102, Springer-Verlag, New York, 1984. Reprint of the 1974 edition. MR 746308, DOI 10.1007/978-1-4612-1126-6
11. *D. Vogan, Representations of real reductive groups, Birkhäuser, Basel, 1981.
David A. Vogan Jr., Unitary representations of reductive Lie groups, Annals of Mathematics Studies, vol. 118, Princeton University Press, Princeton, NJ, 1987. MR 908078
- 1.
- *S. Helgason, Differential geometry, Lie groups and symmetric spaces, Academic Press, New York, 1978. MR 514561 (80k:53081)
- 2.
- *S. Helgason, Groups and geometric analysis, Academic Press, New York, 1984. MR 754767 (86c:22017)
- 3.
- *J. Humphreys, Introduction to Lie algebras and representation theory, Springer, New York, 1972. MR 0323842 (48:2197)
- 4.
- *A. W. Knapp, Representation of semisimple groups--An overview based on examples, Princeton Univ. Press, Princeton, NJ, 1986. MR 855239 (87j:22022)
- 5.
- *S. Lang,
, Addison-Wesley, Reading, MA, 1975; Springer, New York, 1985. MR 0430163 (55:3170)
- 6.
- *M. Sugiura, Unitary representations and harmonic analysis--an introduction, second ed., North Holland, Amsterdam, 1990. MR 1049151 (91c:22028)
- 7.
- *N. R. Wallach, Real reductive groups. I, Academic Press, New York, 1988. MR 929683 (89i:22029)
- 8.
- *G. Warner, Harmonic analysis on semisimple Lie groups. I, II, Springer, New York, 1972.
- 9.
- *V. S. Varadarajan, An introduction to harmonic analysis on semisimple Lie groups, Cambridge Univ. Press, Cambridge and New York, 1989. MR 1071183 (91m:22018)
- 10.
- *V. S. Varadarajan, Lie groups, Lie algebras and their representations, Prentice-Hall, Engelwood Cliffs, NJ, 1974; Springer, New York, 1984. MR 746308 (85e:22001)
- 11.
- *D. Vogan, Representations of real reductive groups, Birkhäuser, Basel, 1981.
- 12.
- *D. Vogan, Unitary representations of reductive Lie groups, Princeton Univ. Press, Princeton, NJ, 1987. MR 908078 (89g:22024)
Review Information:
Reviewer:
Joseph A. Wolf
Journal:
Bull. Amer. Math. Soc.
28 (1993), 367-370
DOI:
https://doi.org/10.1090/S0273-0979-1993-00365-3
