Matrix-Valued Special Functions and Representation Theory of the Conformal Group, I: The Generalized Gamma Function

DOI10.2307/1998060zbMath0427.22008OpenAlexW4255333900MaRDI QIDQ3864086

Wayne J. III Holman, Kenneth I. Gross

Publication date: 1980

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

Full work available at URL: https://doi.org/10.2307/1998060

zbMATH Keywords

representation theoryspecial functionsconformal groupholomorphic discrete seriesmatrix-valued gamma function

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Analysis on real and complex Lie groups (22E30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Analysis on other specific Lie groups (43A80)

Related Items

Applications of complex Clifford analysis to the study of solutions to generalized Dirac and Klein-Gordon equations with holomorphic potentials ⋮ On singular holomorphic representations ⋮ Irreducible unitary representations of \(\mathrm{SU}(2,2)\)