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

Published 6 Jan 2011 in math.SP, math-ph, and math.MP | (1101.1248v2)

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].

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