Mathematics - Sets, General Topology, & Categories, Mathematical Analysis - Complex Analysis, Mathematical Analysis - Functional Analysis, Calculus, Mathematics - General & Miscellaneous
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Overview
This book gives a comprehensive treatment of Toeplitz operators arising in multivariable complex analysis. The first part describes in detail the underlying geometric structures (strongly pseudoconvex domains, Reinhardt domains, multivariable upper half-planes, symmetric domains and generalizations) as well as the harmonic analysis of the associated Hilbert spaces of holomorphic functions (of Hardy or Bergman type). It is also of interest to mathematicians not primarily interested in operator theory. The second part of the book determines the structure of Toeplitz operators, their C*-algebras and index theory, using modern techniques such as groupoid C*-algebras, co-crossed products and operator K-theory.Editorials
Booknews
A comprehensive treatment of Toepliz operators in multivariable complex analysis describing the detail underlying geometric structures, and harmonic analysis of the associated Hilbert spaces of holomorphic functions. Some of the topics covered within this context include pseudoconvex domains, Reinhardt domains, symmetric domains and generalizations, a determination of the structure of Toeplitz operators, their C*-algebras and index theory, and modern groupoid C* algebra techniques, co-crossed products and operator K-theory. Annotation c. Book News, Inc., Portland, OR (booknews.com)Book Details
Published
July 31, 2012
Publisher
Birkhauser Basel
Pages
496
Format
Paperback
ISBN
9783034899604