Berezin transforms and Laplace-Beltrami operators on homogeneous Siegel domains

DOI10.1016/S0926-2245(01)00049-3zbMath0990.22007OpenAlexW2047017366WikidataQ115338278 ScholiaQ115338278MaRDI QIDQ5945503

Takaaki Nomura

Publication date: 14 August 2002

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0926-2245(01)00049-3

zbMATH Keywords

Laplace-Beltrami operatorBerezin transformshomogeneous Siegel domains

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Homogeneous complex manifolds (32M10)

Related Items

Family of Cayley transforms of a homogeneous Siegel domain parametrized by admissible linear forms, A note on diastatic entropy and balanced metrics, A characterization of symmetric Siegel domains by convexity of Cayley transformation images, Berezin quantization of homogeneous bounded domains, A characterization of symmetric Siegel domains through a Cayley transform, Takaaki Nomura: a prominent figure of the Tunisia-Japan cooperation, Geometric norm equality related to the harmonicity of the Poisson kernel for homogeneous Siegel domains

Cites Work

• The isotropy representation for homogeneous Siegel domains
• On the least positive eigenvalue of the Laplacian for compact group manifolds
• Representations of the affine transformation groups acting simply transitively on Siegel domains
• Representations of certain solvable Lie groups on Hilbert spaces of holomorphic functions and the application to the holomorphic discrete series of a semisimple Lie group
• The Berezin transform and invariant differential operators
• Sur La Forme Hermitienne Canonique Des Espaces Homogenes Complexes
• Homogeneous Siegel domains
• QUANTIZATION
• Invariant Operators and the Berezin Transform on Cartan Domains
• A characterization of symmetric Siegel domains through a Cayley transform
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