Matrix analogues of the beta function and Plancherel's formula for Berezin kernel representations
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Publication:4515795
DOI10.1070/SM2000v191n05ABEH000477zbMath0962.33002OpenAlexW2152705909MaRDI QIDQ4515795
Publication date: 23 November 2000
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm2000v191n05abeh000477
Related Items (12)
Plancherel formula for Berezin deformation of \(L^{2}\) on Riemannian symmetric space ⋮ Berezin kernels and analysis on Makarevich spaces ⋮ On the beta function of the tube of the light cone ⋮ Computation of weighted Bergman inner products on bounded symmetric domains and Parseval-Plancherel-type formulas under subgroups ⋮ Hardy spaces for non-compactly causal symmetric spaces and the most continuous spectrum ⋮ Limit theorems for orthogonal polynomials related to circular ensembles ⋮ On the separation of spectra in the analysis of Berezin kernels ⋮ Branching laws for discrete Wallach points ⋮ On the standard \(L\)-function for \(\mathrm{GSp}_{2n}\times\mathrm{GL}_1\) and algebraicity of symmetric fourth \(L\)-values for \(\mathrm{GL}_2\) ⋮ Covariant quantization: spectral analysis versus deformation theory ⋮ Hua-type integrals over unitary groups and over projective limits of unitary groups ⋮ Berezin kernels and maximal degenerate representations associated with Riemannian symmetric spaces of Hermitian type
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