Representations of the affine transformation groups acting simply transitively on Siegel domains

DOI10.1006/jfan.1999.3463zbMath0933.22012OpenAlexW2081527850MaRDI QIDQ1807750

Hideyuki Ishi

Publication date: 29 March 2000

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/44f0ab60edabdbd8d1614c0551ddc63c8a1b71b3

zbMATH Keywords

unitary representationsFourier-Laplace transformorbit methodsolvable Lie groupSiegel domain

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27)

Related Items

Family of Cayley transforms of a homogeneous Siegel domain parametrized by admissible linear forms ⋮ Visible actions of certain affine transformation groups of a Siegel domain of the second kind ⋮ Representations of the solvable group acting on a homogeneous Siegel domain ⋮ Berezin quantization of homogeneous bounded domains ⋮ A Note on the Bergman metric of Bounded homogeneous Domains ⋮ Bergman kernel function for Hartogs domains over bounded homogeneous domains ⋮ Determinant type differential operators on homogeneous Siegel domains ⋮ Berezin transforms and Laplace-Beltrami operators on homogeneous Siegel domains ⋮ A characterization of symmetric Siegel domains through a Cayley transform ⋮ Unitary holomorphic multiplier representations over a homogeneous bounded domain ⋮ Geometric norm equality related to the harmonicity of the Poisson kernel for homogeneous Siegel domains

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