Classical function theory, operator dilation theory, and machine computation on multiply-connected domains / / Jim Agler, John Harland, Benjamin J. Raphael |
Autore | Agler Jim |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
Descrizione fisica | 1 online resource (176 p.) |
Disciplina | 515/.7 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Geometric function theory
Operator theory Dilation theory (Operator theory) Functional analysis Analytic functions |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0498-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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"" |
Record Nr. | UNINA-9910480393003321 |
Agler Jim | ||
Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Classical function theory, operator dilation theory, and machine computation on multiply-connected domains / / Jim Agler, John Harland, Benjamin J. Raphael |
Autore | Agler Jim |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
Descrizione fisica | 1 online resource (176 p.) |
Disciplina | 515/.7 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Geometric function theory
Operator theory Dilation theory (Operator theory) Functional analysis Analytic functions |
ISBN | 1-4704-0498-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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"" |
Record Nr. | UNINA-9910788851103321 |
Agler Jim | ||
Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Classical function theory, operator dilation theory, and machine computation on multiply-connected domains / / Jim Agler, John Harland, Benjamin J. Raphael |
Autore | Agler Jim |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
Descrizione fisica | 1 online resource (176 p.) |
Disciplina | 515/.7 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Geometric function theory
Operator theory Dilation theory (Operator theory) Functional analysis Analytic functions |
ISBN | 1-4704-0498-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
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"" |
Record Nr. | UNINA-9910828650503321 |
Agler Jim | ||
Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|