Berezin transforms and Laplace-Beltrami operators on homogeneous Siegel domains

Takaaki Nomura

doi:10.1016/S0926-2245(01)00049-3

Berezin transforms and Laplace-Beltrami operators on homogeneous Siegel domains

Takaaki Nomura

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

In this paper we show that on a homogeneous Siegel domain, commutativity of Berezin transforms with the Laplace-Beltrami operator is equivalent to the symmetry of the domain

Original language	English
Pages (from-to)	91-106
Number of pages	16
Journal	Differential Geometry and its Application
Volume	15
Issue number	1
DOIs	https://doi.org/10.1016/S0926-2245(01)00049-3
Publication status	Published - Jul 2001
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology
Computational Theory and Mathematics

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10.1016/S0926-2245(01)00049-3

Cite this

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title = "Berezin transforms and Laplace-Beltrami operators on homogeneous Siegel domains",

abstract = "In this paper we show that on a homogeneous Siegel domain, commutativity of Berezin transforms with the Laplace-Beltrami operator is equivalent to the symmetry of the domain",

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JF - Differential Geometry and its Applications

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Berezin transforms and Laplace-Beltrami operators on homogeneous Siegel domains

Abstract

All Science Journal Classification (ASJC) codes

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