A Formula representing magnetic Berezin transforms on the Bergman ball of $\C^n$ as functions of the Laplace-Beltrami operator

Allal Ghanmi; Zouhair Mouayn

arxiv: 1101.1248 · v2 · pith:TGBFZIWDnew · submitted 2011-01-06 · 🧮 math.SP · math-ph· math.MP

A Formula representing magnetic Berezin transforms on the Bergman ball of C^n as functions of the Laplace-Beltrami operator

Allal Ghanmi , Zouhair Mouayn This is my paper

classification 🧮 math.SP math-phmath.MP

keywords bergmanballberezinformulafunctionslaplace-beltramimagneticoperator

0 comments

read the original abstract

We give a formula that represents magnetic Berezin transforms associated with generalized Bergman spaces as functions of the Laplace-Beltrami operator on the Bergman ball. In particular, we recover the result obtained by J. Peeter [J. Oper. Theory, 24, 1990].

This paper has not been read by Pith yet.

A Formula representing magnetic Berezin transforms on the Bergman ball of C^n as functions of the Laplace-Beltrami operator

discussion (0)