Phase deformed magnetic Berezin transforms on ${\mathbb{C}}^n$: A formula representing phase deformed magnetic Berezin transforms as functions of the magnetic Laplacian on ${\mathbb{C}}^n$

Abstract

We introduce a new class of a phase deformed magnetic berezin transforms and we give two formulae representing these transforms as a functions of the magnetic laplacian on ${\mathbb{C}}^n.$ As a consequence, we give an inequality of diamagnetic type.

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