The Berezin form for rank one para-Hermitian symmetric spaces

DOI10.1016/S0021-7824(98)80008-1zbMath0919.43007OpenAlexW1993969212MaRDI QIDQ1277408

Gerrit Van Dijk, Vladimir F. Molchanov

Publication date: 18 August 1999

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-7824(98)80008-1

zbMATH Keywords

Fourier transformspherical functionsPlancherel formulaquantizationLaplace-Beltrami operatorspectral decompositionBerezin transformLaplace operatorspara-Hermitian symmetric spaces

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46)

Related Items (8)

Segal-Bargmann transforms associated with finite Coxeter groups ⋮ Projective pseudodifferential analysis and harmonic analysis ⋮ 𝐻*-algebras and quantization of para-Hermitian spaces ⋮ Reflection positivity. Abstracts from the workshop held November 26 -- December 2, 2017 ⋮ The Berezin form on symmetric $R$-spaces and reflection positivity ⋮ On the separation of spectra in the analysis of Berezin kernels ⋮ Tensor products of maximal degenerate series representations of the group \(SL(n,\mathbb{R})\) ⋮ Covariant quantization: spectral analysis versus deformation theory

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