Berezin kernels and maximal degenerate representations associated with Riemannian symmetric spaces of Hermitian type

DOI10.1007/PL00021947zbMath1091.43004OpenAlexW4240580245WikidataQ115390526 ScholiaQ115390526MaRDI QIDQ2577574

Michael Pevzner, Gerrit Van Dijk

Publication date: 3 January 2006

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00021947

zbMATH Keywords

canonical representationHermitian symmetric spaceBerezin kernelnoncompactly causal Lie group

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15)

Related Items (2)

Covariant quantization: spectral analysis versus deformation theory ⋮ Partial Poisson transforms on \(SU(n, n)/SL(n, \mathbb{C}) \times \mathbb{R}_+^\ast\)

Cites Work

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• The Berezin transform and invariant differential operators
• Matrix analogues of the beta function and Plancherel's formula for Berezin kernel representations
• Berezin kernels of tube domains

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