The Berezin transform and invariant differential operators
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.
scientific article; zbMATH DE number 851930
scientific article