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Record Nr. |
UNINA9910828650503321 |
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Autore |
Agler Jim |
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Titolo |
Classical function theory, operator dilation theory, and machine computation on multiply-connected domains / / Jim Agler, John Harland, Benjamin J. Raphael |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2008] |
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©2008 |
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ISBN |
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Descrizione fisica |
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1 online resource (176 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 892 |
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Disciplina |
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Soggetti |
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Geometric function theory |
Operator theory |
Dilation theory (Operator theory) |
Functional analysis |
Analytic functions |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 191, number 892 (second of 5 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 157-159). |
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Nota di contenuto |
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""Contents""; ""Preface""; ""Chapter 1. Generalizations of the Herglotz Representation Theorem, von Neumann's Inequality and the Sz.-Nagy Dilation Theorem to Multiply Connected Domains""; ""1.1. Introduction""; ""1.2. Preliminaries""; ""1.3. The First Herglotz Representation""; ""1.4. The Second Herglotz Representation""; ""1.5. The Third Herglotz Representation""; ""1.6. The Herglotz Representations and Operator Theory""; ""1.7. An Application""; ""Chapter 2. The Computational Generation of Counterexamples to the Rational Dilation Conjecture""; ""2.1. Introduction"" |
""2.2. Mathematical Preliminaries""""2.3. Analysis of the Dilation Condition for Nonsingularly Hyperextremal Grammians""; ""2.4. Analysis of Dilation Extremal Grammians""; ""2.5. Algorithms""; ""2.6. A Computational Counterexample""; ""2.7. Plausibility Arguments""; ""Chapter 3. Arbitrary Precision Computations of the Poisson Kernel and Herglotz Kernels on Multiply-Connected Circle Domains""; ""3.1. Introduction""; ""3.2. Computation of the Functions""; ""3.3. Results""; |
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