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

Department of Mathematics

Research output: Contribution to journal › Article

5 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 1 2001

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology
Computational Theory and Mathematics

Access to Document

10.1016/S0926-2245(01)00049-3

Fingerprint Dive into the research topics of 'Berezin transforms and Laplace-Beltrami operators on homogeneous Siegel domains'. Together they form a unique fingerprint.

Cite this

Nomura, T. (2001). Berezin transforms and Laplace-Beltrami operators on homogeneous Siegel domains. Differential Geometry and its Application, 15(1), 91-106. https://doi.org/10.1016/S0926-2245(01)00049-3

@article{eacb7a40644e4e3ba0b01adbd4eb65f6,

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",

author = "Takaaki Nomura",

year = "2001",

month = jul,

day = "1",

doi = "10.1016/S0926-2245(01)00049-3",

language = "English",

volume = "15",

pages = "91--106",

journal = "Differential Geometry and its Applications",

issn = "0926-2245",

publisher = "Elsevier",

number = "1",

}

TY - JOUR

T1 - Berezin transforms and Laplace-Beltrami operators on homogeneous Siegel domains

AU - Nomura, Takaaki

PY - 2001/7/1

Y1 - 2001/7/1

N2 - 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

AB - 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

UR - http://www.scopus.com/inward/record.url?scp=0002786189&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002786189&partnerID=8YFLogxK

U2 - 10.1016/S0926-2245(01)00049-3

DO - 10.1016/S0926-2245(01)00049-3

M3 - Article

AN - SCOPUS:0002786189

VL - 15

SP - 91

EP - 106

JO - Differential Geometry and its Applications

JF - Differential Geometry and its Applications

SN - 0926-2245

IS - 1

ER -