A symmetry characterization for homogeneous Siegel domains related to Berezin transforms
Volume 55 / 2002
Banach Center Publications 55 (2002), 323-334
MSC: 22E30, 32M15, 43A85.
DOI: 10.4064/bc55-0-16
Abstract
In this article we present a geometric norm equality for an irreducible homogeneous Siegel domain $D$ that leads us to the equivalence between the commutativity of Berezin transforms with the Laplace-Beltrami operator and the symmetry of $D$.
