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Harmonic analysis on semi-simple Lie groups. (English) Zbl 0212.15101


MSC:

43A80 Analysis on other specific Lie groups
22E30 Analysis on real and complex Lie groups
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References:

[1] Armand Borel and Jacques Tits, Groupes réductifs, Inst. Hautes Études Sci. Publ. Math. 27 (1965), 55 – 150 (French). · Zbl 0395.20024
[2] I. M. Gel\(^{\prime}\)fand, Automorphic functions and the theory of representations, Proc. Internat. Congr. Mathematicians (Stockholm, 1962) Inst. Mittag-Leffler, Djursholm, 1963, pp. 74 – 85.
[3] Roger Godement, Sur les relations d’orthogonalité de V. Bargmann. II. Démonstration générale, C. R. Acad. Sci. Paris 225 (1947), 657 – 659 (French). · Zbl 0029.19907
[4] Harish-Chandra, Discrete series for semisimple Lie groups. II. Explicit determination of the characters, Acta Math. 116 (1966), 1 – 111. · Zbl 0199.20102 · doi:10.1007/BF02392813
[5] Harish-Chandra, Automorphic forms on semisimple Lie groups, Notes by J. G. M. Mars. Lecture Notes in Mathematics, No. 62, Springer-Verlag, Berlin-New York, 1968. · Zbl 0186.04702
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[7] Harish-Chandra, (d) Some applications of the Schwartz space of a semisimple Lie group, Lecture Series, Modern Anal. and Appl., George Washington Univ., 1968. · Zbl 0212.15102
[8] George W. Mackey, Infinite-dimensional group representations, Bull. Amer. Math. Soc. 69 (1963), 628 – 686. · Zbl 0136.11502
[9] Calvin C. Moore, Decomposition of unitary representations defined by discrete subgroups of nilpotent groups, Ann. of Math. (2) 82 (1965), 146 – 182. · Zbl 0139.30702 · doi:10.2307/1970567
[10] L. Pukánszky, Leçons sur les représentations des groupes, Monographies de la Société Mathématique de France, No. 2, Dunod, Paris, 1967 (French).
[11] P. J. Sally Jr. and J. A. Shalika, Characters of the discrete series of representations of \?\?(2) over a local field, Proc. Nat. Acad. Sci. U.S.A. 61 (1968), 1231 – 1237. · Zbl 0198.18203
[12] L. Schwartz, Théorie des distributions. Tome I, Actualités Sci. Ind., no. 1091 = Publ. Inst. Math. Univ. Strasbourg 9, Hermann & Cie., Paris, 1950 (French). · Zbl 0037.07301
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