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

Mathematics – Spectral Theory

Scientific paper

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14 pages, Revised and improved exposition. Typos corrected and references added

Scientific paper

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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