Abstract
We prove that the Laplace-Beltrami operator commutes with the Berezin transform on a Kähler manifold if and only if it is a Hermitian symmetric space.
Citation
Miroslav Engliš. "A characterization of symmetric domains." J. Math. Kyoto Univ. 46 (1) 123 - 146, 2006. https://doi.org/10.1215/kjm/1250283003
Information
Published: 2006
First available in Project Euclid: 14 August 2009
zbMATH: 1121.32009
MathSciNet: MR2260820
Digital Object Identifier: 10.1215/kjm/1250283003
Subjects:
Primary:
32Q15
Secondary:
32A36
,
32M15
Rights: Copyright © 2006 Kyoto University
