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Degenerate series representations of the universal covering group of SU(2,2). (English) Zbl 0415.22012

##### MSC:
 2.2e+46 Representations of Lie and linear algebraic groups over real fields: analytic methods
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##### References:
 [1] Gross, K.I.; Holman, W.J.; Kunze, R.A., The generalized gamma function, new Hardy spaces and representations of holomorphic type for the conformal group, Bull. amer. math. soc., 83, 3, 412-415, (1977) · Zbl 0349.22007 [2] Hecht, H.; Schmid, W., A proof of Blattner’s conjecture, Invent. math., 31, 129-154, (1975) · Zbl 0319.22012 [3] Langlands, R., On the classification of irreducible reprzsentations of real algebraic groups, () · Zbl 0741.22009 [4] Magnus, W.; Oberhettinger, F.; Soni, R.P., Formulas and theorems for the special functions of mathematical physics, (1966), Springer-Verlag New York/Berlin · Zbl 0143.08502 [5] Plesner-Jacobson, H.; Vergne, M., Wave and Dirac operators and representations of the conformal group, J. functional analysis, 24, 52-106, (1977) · Zbl 0361.22012 [6] Rossi, H.; Vergne, M., Analytic continuation of holomorphic discrete series of a semisimple Lie group, Acta math., 136, 1-59, (1976) · Zbl 0356.32020 [7] Schiffman, G., Intégrales d’entrelacement et fonctions de Whittaker, Bull. soc. math. France, 99, 3-72, (1971) [8] Sally, P., Analytic continuation of the irreducible unitary representations of the universal covering group of SL(2, $$R$$), Mem. amer. math. soc., 69, (1967) · Zbl 0157.20702 [9] Speh, B.; Vogan, D., A reducibility criterion for generalized principal series, (), 5252 · Zbl 0367.22015 [10] \scB. Speh and D. Vogan, Reducibility of generalized principal series representations, preprint. · Zbl 0457.22011 [11] Vogan, D., Lie algebra cohomology and the representations of semisimple Lie groups, () [12] Warner, G., Harmonic analysis on semisimple Lie groups, I. II., (1972), Springer-Verlag New York/Berlin [13] Zuckerman, G., Tensorproducts of finite and infinite dimensional representations of semisimple Lie groups, Ann. math., 106, 295-309, (1977)
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