Berezin transform for solvable groups
type: Item
instance of: scholarly article
title: Berezin transform for solvable groups
zbMATH Open document ID: 1066.43003
author: Harald Upmeier
author: Jonathan Arazy
published in: Acta Applicandae Mathematicae
publication date: 2004-08-20T00:00:00Z
review text: The authors study the Berezin transform for the multi-weighted Bergman spaces \(H^2_\nu(D)=\{h\in L^2(D,d\mu_\nu): h\) holomorphic\} of Gindikin type on homogeneous cones and Siegel domains \(D,\) depending on a vector parameter \(\nu=(\nu_1,\ldots,\nu_r).\) Using an explicit kernel representation for the associated eigen-operators they provide its spectral decomposition.
Mathematics Subject Classification ID: 43A80
Mathematics Subject Classification ID: 22E30
Mathematics Subject Classification ID: 47B35
zbMATH DE Number: 2093652
zbMATH Keywords: Berezin transform
zbMATH Keywords: solvable groups
zbMATH Keywords: homogeneous domains
reviewed by: Alexey N. Karapetyants
MaRDI profile type: Publication
DOI: 10.1023/B:ACAP.0000024192.68563.8D
description: scientific article; zbMATH DE number 2093652