On Hardy and Bergman spaces on complex Ol'shanskiĭ semigroups

DOI10.1007/S002080050211zbMath0922.22007OpenAlexW2064409459MaRDI QIDQ1271219

Bernhard Krötz

Publication date: 8 October 1999

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050211

zbMATH Keywords

Hardy spaceBergman spaceintegral representationhighest weight representationPlancherel theoremholomorphic representationcomplex semigroup

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items (6)

Representations, characters, and spherical functions associated to causal symmetric spaces ⋮ Representation theory and convexity ⋮ Spherical functions on mixed symmetric spaces ⋮ Boundary orbit strata and faces of invariant cones and complex Ol’shanskiĭ semigroups ⋮ Weighted Bergman spaces and the holomorphic discrete series of \(\widetilde{U(p,q)}\) ⋮ Covariant quantization: spectral analysis versus deformation theory

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