Asymptotic expansions of Berezin transforms

Jonathan Arazy; Bent Ørsted

doi:10.1512/iumj.2000.49.1815

Asymptotic expansions of Berezin transforms

Jonathan Arazy, Bent Ørsted

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We study a new method of expanding Berezin transforms corresponding to various weighted volume measures on symmetric domains. The main result is an explicit asymptotic expansion for such a transform in terms of Pochhammer symbols associated with Cartan domains.

Original language	English
Pages (from-to)	7-30
Number of pages	24
Journal	Indiana University Mathematics Journal
Volume	49
Issue number	1
DOIs	https://doi.org/10.1512/iumj.2000.49.1815
State	Published - 2000

ASJC Scopus subject areas

General Mathematics

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abstract = "We study a new method of expanding Berezin transforms corresponding to various weighted volume measures on symmetric domains. The main result is an explicit asymptotic expansion for such a transform in terms of Pochhammer symbols associated with Cartan domains.",

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Asymptotic expansions of Berezin transforms

Abstract

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