Classical function theory, operator dilation theory, and machine computation on multiply-connected domains / / Jim Agler, John Harland, Benjamin J. Raphael
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| Autore: |
Agler Jim
|
| Titolo: |
Classical function theory, operator dilation theory, and machine computation on multiply-connected domains / / Jim Agler, John Harland, Benjamin J. Raphael
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| ©2008 | |
| Descrizione fisica: | 1 online resource (176 p.) |
| Disciplina: | 515/.7 |
| Soggetto topico: | Geometric function theory |
| Operator theory | |
| Dilation theory (Operator theory) | |
| Functional analysis | |
| Analytic functions | |
| Persona (resp. second.): | HarlandJohn <1959-> |
| RaphaelBenjamin J. <1974-> | |
| Note generali: | "Volume 191, number 892 (second of 5 numbers)." |
| Nota di bibliografia: | Includes bibliographical references (pages 157-159). |
| Nota di contenuto: | ""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""; ""Chapter 4. Schwartz Kernels on Multiply Connected Domains""; ""Appendix A. Convergence Results"" | |
| ""Appendix B. Example Inner Product Computation""""Bibliography"" | |
| Titolo autorizzato: | Classical function theory, operator dilation theory, and machine computation on multiply-connected domains |
| ISBN: | 1-4704-0498-2 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910788851103321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 892.