Asymptotic expansions of Berezin transforms

Authors
Arazy, J Orsted, B
Citation
J. Arazy et B. Orsted, Asymptotic expansions of Berezin transforms, INDI MATH J, 49(1), 2000, pp. 7-30
Citations number
15
Categorie Soggetti
Mathematics
Journal title
INDIANA UNIVERSITY MATHEMATICS JOURNAL
ISSN journal
00222518 → ACNP
Volume
49
Issue
1
Year of publication
2000
Pages
7 - 30
Database
ISI
SICI code
0022-2518(200021)49:1<7:AEOBT>2.0.ZU;2-P
Abstract
We study a new method of expanding Berezin transforms corresponding to vari ous weighted volume measures on symmetric domains. The main result is an ex plicit asymptotic expansion for such a transform in terms of Pochhammer sym bols associated with Cartan domains.