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Toeplitz Operators and Index Theory in Several Complex Variables (Hardcover, 1996 ed.)
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Toeplitz Operators and Index Theory in Several Complex Variables (Hardcover, 1996 ed.)
Series: Operator Theory: Advances and Applications, 81
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4. 1 Bergman-Toeplitz Operators Over Bounded Domains 242 4. 2
Hardy-Toeplitz Operators Over Strictly Domains Pseudoconvex 250
Groupoid C* -Algebras 4. 3 256 4. 4 Hardy-Toeplitz Operators Over
Tubular Domains 267 4. 5 Bergman-Toeplitz Operators Over Tubular
Domains 278 4. 6 Hardy-Toeplitz Operators Over Polycircular Domains
284 4. 7 Bergman-Toeplitz Operators Over Polycircular Domains 290
4. 8 Hopf C* -Algebras 299 4. 9 Actions and Coactions on C*
-Algebras 310 4. 10 Hardy-Toeplitz Operators Over K-circular
Domains 316 4. 11 Hardy-Toeplitz Operators Over Symmetric Domains
325 4. 12 Bergman-Toeplitz Operators Over Symmetric Domains 361 5.
Index Theory for Multivariable Toeplitz Operators 5. 0 Introduction
371 5. 1 K-Theory for Topological Spaces 372 5. 2 Index Theory for
Strictly Pseudoconvex Domains 384 5. 3 C*-Algebras K-Theory for 394
5. 4 Index Theory for Symmetric Domains 400 5. 5 Index Theory for
Tubular Domains 432 5. 6 Index Theory for Polycircular Domains 455
References 462 Index of Symbols and Notations 471 In trod uction
Toeplitz operators on the classical Hardy space (on the I-torus)
and the closely related Wiener-Hopf operators (on the half-line)
form a central part of operator theory, with many applications e.
g. , to function theory on the unit disk and to the theory of
integral equations.
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