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Fourier Bessel transforms and holomorphic discrete series. (English) Zbl 0242.22015

Conf. harmonic Analysis, College Park, Maryland 1971, Lect. Notes Math. 266, 79-122 (1972).

MSC:

22E45 Representations of Lie and linear algebraic groups over real fields: analytic methods
33C80 Connections of hypergeometric functions with groups and algebras, and related topics
43A80 Analysis on other specific Lie groups
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
43A30 Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc.
30H05 Spaces of bounded analytic functions of one complex variable
22E30 Analysis on real and complex Lie groups