The Berezin transform and invariant differential operators
type: Item
instance of: scholarly article
title: The Berezin transform and invariant differential operators
zbMATH Open document ID: 0843.32019
DOI: 10.1007/BF02101491
author: André Unterberger
author: Harald Upmeier
published in: Communications in Mathematical Physics
publication date: 1996-03-07T00:00:00Z
review text: The authors study the Berezin calculus of operators, particularly the Berezin transform, on any bounded, symmetric domain. They are able to express the Berezin transform in terms of certain invariant differential operators. Along the way, the authors provide a nice introduction to reproducing kernels, Berezin theory, mathematical quantization, and analysis on bounded symmetric domains. As well as providing a new point of view on the Berezin transform, this paper will serve as a useful resource.
Mathematics Subject Classification ID: 32M15
Mathematics Subject Classification ID: 47N50
Mathematics Subject Classification ID: 32A30
Mathematics Subject Classification ID: 43A85
zbMATH DE Number: 851930
zbMATH Keywords: Berezin calculus
zbMATH Keywords: Berezin transform
zbMATH Keywords: bounded, symmetric domain
zbMATH Keywords: quantization
reviewed by: Steven G. Krantz
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 851930