On the irreducibility of certain multiplier representations

DOI10.1090/S0002-9904-1962-10735-6zbMath0107.28604MaRDI QIDQ3294351

Ray A. Kunze

Publication date: 1962

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

zbMATH Keywords

complex functions

Related Items

Weighted Laplace transforms and Bessel functions on Hermitian symmetric spaces ⋮ Representations of the solvable group acting on a homogeneous Siegel domain ⋮ Operator-valued Bessel functions, holomorphic discrete series, and harmonic representations of \(U(p,q)\) ⋮ Analytic continuation of the holomorphic discrete series of a semi-simple Lie group ⋮ Wave and Dirac operators, and representations of the conformal group ⋮ Representations of the affine transformation groups acting simply transitively on Siegel domains ⋮ Unitary holomorphic multiplier representations over a homogeneous bounded domain ⋮ Coherent state representations of the holomorphic automorphism group of the tube domain over the dual of the Vinberg cone ⋮ Infinite-dimensional group representations

Cites Work

• On Automorphism Groups of Homogeneous Complex Manifolds
• Theory of Reproducing Kernels