The generalized gamma function, new Hardy spaces, and representations of holomorphic type for the conformal group

DOI10.1090/S0002-9904-1977-14302-4zbMath0349.22007MaRDI QIDQ4119383

Wayne J. III Holman, Kenneth I. Gross, Ray A. Kunze

Publication date: 1977

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Analysis on real and complex Lie groups (22E30) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Analysis on other specific Lie groups (43A80)

Related Items

Degenerate series representations of the universal covering group of SU(2,2) ⋮ Restrictions and expansions of holomorphic representations ⋮ Unitarizable highest weight modules of the conformal group ⋮ Bessel functions and representation theory. II: Holomorphic discrete series and metaplectic representations ⋮ Generalized Bessel functions and the representation theory of U(2) σ C2×2 ⋮ Tensor products, reproducing kernels, and power series

Cites Work

• Analytic continuation of the holomorphic discrete series of a semi-simple Lie group
• The Analytic Continuation of the Discrete Series.I