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.
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First Sentence:
Unlike the 1-dimensional situation, the complex-analytic geometry of domains in complex n-space Cn is very complicated and exhibits many different phenomena, even among simply-connected domains of holomorphy. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Applying Proposition, Applying Theorem, Combining Theorem, Generalizing Theorem, Plancherel's Theorem New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Unlike the 1-dimensional situation, the complex-analytic geometry of domains in complex n-space Cn is very complicated and exhibits many different phenomena, even among simply-connected domains of holomorphy. Read the first page Key Phrases - Capitalized Phrases (CAPs): (learn more)
Applying Proposition, Applying Theorem, Combining Theorem, Generalizing Theorem, Plancherel's Theorem New!
Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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This book cites 19
books:
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18
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- Complex Variables: A Physical Approach with Applications and MATLAB (Textbooks in Mathematics) by Steven G. Krantz in Back Matter (1), and Back Matter (2)
- Differential Manifolds by Serge Lang in Back Matter
- Holomorphic Functions and Integral Representations in Several Complex Variables (Graduate Texts in Mathematics) (v. 108) by R. Michael Range in Back Matter
- Operator Theory in Function Spaces and Banach Lattices: Essays dedicated to A.C. Zaanen on the occasion of his 80th birthday (Operator Theory: Advances and Applications) by C.B. Huijsmans in Back Matter
- Analysis on Symmetric Cones (Oxford Mathematical Monographs) by Jacques Faraut in Back Matter
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- Elliptic Functional Differential Equations and Applications (Operator Theory: Advances and Applications) by Alexander L. Skubachevskii in Back Matter
- Mathematical Topics between Classical and Quantum Mechanics (Springer Monographs in Mathematics) by Nicholas P. Landsman in Back Matter
- Recent Progress in Operator Theory: International Workshop on Operator Theory and Applications, IWOTA 95, in Regensburg, July 31-August 4, 1995 (Operator Theory: Advances and Applications) by Israel C. Gohberg in Back Matter
- Nonselfadjoint Operator Algebras, Operator Theory, and Related Topics: The Carl M. Pearcy Anniversary Volume (Operator Theory: Advances and Applications) by H. Bercovicii in Back Matter
- Series in Banach Spaces: Conditional and Unconditional Convergence (Operator Theory: Advances and Applications) by Mikhail I. Kadets in Back Matter
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