A one-parameter calculus for symmetric domains

✍ Scribed by Jonathan Arazy; Harald Upmeier

• Publisher: John Wiley and Sons
• Year: 2007
• Tongue: English
• Weight: 260 KB
• Volume: 280
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200610527

✦ Synopsis

Abstract

We introduce a parameter dependent operator calculus on hermitian symmetric domains, interpolating the Toeplitz and Weyl calculus, and establish its basic properties including the Berezin transform for rank 1 domains. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)