A survey of invariant Hilbert spaces of analytic functions on bounded symmetric domains

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

The theory of Hilbert spaces of holomorphic functions on domains with transitive automorphism group (notably the ball, the polydisc, and bounded symmetric domains) has proved to be a rich venue for research in both functional analysis and hard analysis. This paper surveys recent results. It perhaps concentrates excessively on results of the author, and less on results of Peloso, Peetre, Janson, and others. But it is nevertheless a pleasant introduction for non-experts to an active area of mathematical analysis.
Original languageEnglish
Title of host publicationMultivariable Operator Theory
EditorsRaúl E. Curto, Ronald G. Douglas, Joel D. Pincus, Norberto Salinas
Place of PublicationProvidence
PublisherAmerican Mathematical Society
Chapter2
Pages7-65
Number of pages59
ISBN (Electronic)978-0-8218-7776-0
ISBN (Print)978-0-8218-0298-4
DOIs
StatePublished - 1995

Publication series

NameContemporary Mathematics
PublisherAmerican Mathematical Society
Volume185
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

Fingerprint

Dive into the research topics of 'A survey of invariant Hilbert spaces of analytic functions on bounded symmetric domains'. Together they form a unique fingerprint.

Cite this