arXiv 1304.80432013-04-30math.FAmath.OA

Berezin transforms on noncommutative polydomains

Gelu Popescu

备注：: 46 pages, submitted for publication in February

英文摘要：

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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