@inbook{a4decf8d8e20412ca3ce3fdc55a9428f,

title = "A survey of invariant Hilbert spaces of analytic functions on bounded symmetric domains",

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.",

author = "Jonathan Arazy",

year = "1995",

doi = "10.1090/conm/185/02147",

language = "English",

isbn = "978-0-8218-0298-4",

series = "Contemporary Mathematics",

publisher = "American Mathematical Society",

pages = "7--65",

editor = "Curto, {Ra{\'u}l E.} and Douglas, {Ronald G.} and Pincus, {Joel D.} and Norberto Salinas",

booktitle = "Multivariable Operator Theory",

address = "United States",

}