Weighted Bergman spaces on bounded symmetric domains.

DOI10.2140/PJM.2002.206.39zbMath1055.32004OpenAlexW2019951322MaRDI QIDQ1858310

Salem Ben Said

Publication date: 13 February 2003

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2002.206.39

zbMATH Keywords

Bergman spacePlancherel formulasemi-simple Lie groupreproducing kernelbounded symmetric domainJordan algebraholomorphic automorphisms

Mathematics Subject Classification ID

Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Bergman spaces of functions in several complex variables (32A36) Lie groups (22E99)

Related Items (5)

Computation of weighted Bergman inner products on bounded symmetric domains and Parseval-Plancherel-type formulas under subgroups ⋮ Branching laws for discrete Wallach points ⋮ Covariant quantization: spectral analysis versus deformation theory ⋮ TUBE DOMAINS AND RESTRICTIONS OF MINIMAL REPRESENTATIONS ⋮ Multiplicity-free representations and visible actions on complex manifolds

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