|
Harmonic analysis on semisimple Lie groups
Author:
Harish-Chandra
Journal:
Bull. Amer. Math. Soc. 76 (1970), 529-551
MSC (1970):
Primary 2265, 2260
MathSciNet review:
0257282
Full-text PDF
References |
Similar Articles |
Additional Information
- 1.
Armand
Borel and Jacques
Tits, Groupes réductifs, Inst. Hautes Études
Sci. Publ. Math. 27 (1965), 55–150 (French). MR 0207712
(34 #7527)
- 2.
I.
M. Gel′fand, Automorphic functions and the theory of
representations, Proc. Internat. Congr. Mathematicians (Stockholm,
1962) Inst. Mittag-Leffler, Djursholm, 1963, pp. 74–85. MR 0175997
(31 #273)
- 3.
Roger
Godement, Sur les relations d’orthogonalité de V.
Bargmann. II. Démonstration générale, C. R. Acad.
Sci. Paris 225 (1947), 657–659 (French). MR 0021945
(9,134b)
- 4.
Harish-Chandra,
Discrete series for semisimple Lie groups. II. Explicit determination
of the characters, Acta Math. 116 (1966),
1–111. MR
0219666 (36 #2745)
- 4.
Harish-Chandra,
Automorphic forms on semisimple Lie groups, Notes by J. G. M.
Mars. Lecture Notes in Mathematics, No. 62, Springer-Verlag, Berlin, 1968.
MR
0232893 (38 #1216)
- 4.
Harish-Chandra, (c) Eisenstein series over finite fields, Proc. Stone Jubilee Conf., Chicago, 1968.
- 4.
Harish-Chandra, (d) Some applications of the Schwartz space of a semisimple Lie group, Lecture Series, Modern Anal. and Appl., George Washington Univ., 1968.
- 5.
George
W. Mackey, Infinite-dimensional group
representations, Bull. Amer. Math. Soc. 69 (1963), 628–686.
MR
0153784 (27 #3745), http://dx.doi.org/10.1090/S0002-9904-1963-10973-8
- 6.
Calvin
C. Moore, Decomposition of unitary representations defined by
discrete subgroups of nilpotent groups, Ann. of Math. (2)
82 (1965), 146–182. MR 0181701
(31 #5928)
- 7.
L.
Pukánszky, Leçons sur les représentations des
groupes, Monographies de la Société Mathématique
de France, No. 2, Dunod, Paris, 1967 (French). MR 0217220
(36 #311)
- 8.
P.
J. Sally Jr. and J.
A. Shalika, Characters of the discrete series of representations of
𝑆𝐿(2) over a local field, Proc. Nat. Acad. Sci. U.S.A.
61 (1968), 1231–1237. MR 0237713
(38 #5994)
- 9.
L.
Schwartz, Théorie des distributions. Tome I,
Actualités Sci. Ind., no. 1091 = Publ. Inst. Math. Univ. Strasbourg
9, Hermann & Cie., Paris, 1950 (French). MR 0035918
(12,31d)
- 1.
- A. Borel and J. Tits, Groupes rèductifs, Inst. Hautes Études Sci. Publ. Math No. 27 (1965), 55-150. MR 34 #7527. MR 207712
- 2.
- I. M. Gelfand, Automorphic functions and the theory of representations, Proc. Internat. Congress Math. (1962) Inst. Mittag-Leffler, Djursholm, 1963, pp. 74-85. MR 28 #1. MR 175997
- 3.
- R. Godement, Sur les relations d'orthogonalité de V. Bargmann. I: Démonstration générale, C. R. Acad. Sci. Paris 225 (1947), 657-659. MR 9, 134. MR 21945
- 4.
- Harish-Chandra, (a) Discrete series for semisimple Lie groups. II, Acta Math. 116 (1966), 1-111. MR 36 #2745. MR 219666
- 4.
- Harish-Chandra, (b) Automorphic forms on semisimple Lie groups, Lecture notes in Math., no. 62, Springer-Verlag, Berlin and New York, 1968. MR 38 #1216. MR 232893
- 4.
- Harish-Chandra, (c) Eisenstein series over finite fields, Proc. Stone Jubilee Conf., Chicago, 1968.
- 4.
- Harish-Chandra, (d) Some applications of the Schwartz space of a semisimple Lie group, Lecture Series, Modern Anal. and Appl., George Washington Univ., 1968.
- 5.
- G. W. Mackey, Infinite-dimensional group representations, Bull. Amer. Math. Soc. 69 (1963), 628-686. MR 27 #3745. MR 153784
- 6.
- C. C. Moore, Decomposition of unitary representations defined by discrete subgroups of nilpotent groups, Ann. of Math. (2) 82 (1965), 146-182. MR 31 #5928. MR 181701
- 7.
- L. Pukánszky, Leçons sur les représentations des groupes, Monographies de la Société Mathématique de France, no. 2, Dunod, Paris, 1967. MR 36 #311. MR 217220
- 8.
- P. J. Sally, Jr. and J. A. Shalika, Characters of the discrete series of representations of SL(2) over a local field, Proc. Nat. Acad. Sci. U.S.A. 61 (1968), 1231-1237. MR 237713
- 9.
- L. Schwartz, Théorie des distributions. Tome I, Actualités Sci. Indust., no. 1091, Hermann, Paris, 1950. MR 12, 31. MR 35918
Similar Articles
Retrieve articles in Bulletin of the American Mathematical Society
with MSC (1970):
2265,
2260
Retrieve articles in all journals
with MSC (1970):
2265,
2260
Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9904-1970-12442-9
PII:
S 0002-9904(1970)12442-9
|
