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Berezin transforms on noncommutative polydomains

Published 30 Apr 2013 in math.FA and math.OA | (1304.8043v1)

Abstract: This paper is an attempt to unify the multivariable operator model theory for ball-like domains and commutative polydiscs, and extend it to a more general class of noncommutative polydomains. An important role in our study is played by noncommutative Berezin transforms associated with the elements of the polydomain.

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