Toeplitz operators and index theory in several complex variables
by Harald Upmeier
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 Hibert 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.
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Toeplitz operators and index theory in several complex variables
1996, Birkhäuser Verlag, Birkhauser
in English
3764352825 9783764352820
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Includes bibliographical references (p. 462-470) and index.
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