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Classical function theory, operator dilation theory, and machine computation on multiply-connected domains / / Jim Agler, John Harland, Benjamin J. Raphael
| 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
| 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
| 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 | ||
| ||
Complex analysis : the argument principle in analysis and topology / A. F. Beardon
| Complex analysis : the argument principle in analysis and topology / A. F. Beardon |
| Autore | Beardon, Alan F. |
| Pubbl/distr/stampa | Chichester [Eng.] ; New York : J. Wiley & Sons, c1979 |
| Descrizione fisica | xiii, 239 p. : ill. ; 23 cm. |
| Disciplina | 515.9 |
| Soggetto topico | Geometric function theory |
| ISBN | 0471996718 |
| Classificazione |
AMS 30C
QA331.B34 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000768829707536 |
|
Beardon, Alan F.
|
||
| Chichester [Eng.] ; New York : J. Wiley & Sons, c1979 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Complex analysis : a modern first course in function theory / / Jerry R. Muir, Jr
| Complex analysis : a modern first course in function theory / / Jerry R. Muir, Jr |
| Autore | Muir Jerry R. <1973-> |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2015 |
| Descrizione fisica | 1 online resource (609 p.) |
| Disciplina | 515 |
| Soggetto topico |
Geometric function theory
Numbers, Complex |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-118-70527-0
1-118-95639-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Table of Contents; Title Page; Copyright; Dedication; Preface; Chapter 1: The Complex Numbers; 1.1 Why?; 1.2 The Algebra of Complex Numbers; 1.3 The Geometry of the Complex Plane; 1.4 The Topology of the Complex Plane; 1.5 The Extended Complex Plane; 1.6 Complex Sequences; 1.7 Complex Series; Chapter 2: Complex Functions and Mappings; 2.1 Continuous Functions; 2.2 Uniform Convergence; 2.3 Power Series; 2.4 Elementary Functions and Euler's Formula; 2.5 Continuous Functions as Mappings; 2.6 Linear Fractional Transformations; 2.7 Derivatives; 2.8 The Calculus of Real-Variable Functions
2.9 Contour Integrals Chapter 3: Analytic Functions; 3.1 The Principle of Analyticity; 3.2 Differentiable Functions are Analytic; 3.3 Consequences of Goursat's Theorem; 3.4 The Zeros of Analytic Functions; 3.5 The Open Mapping Theorem and Maximum Principle; 3.6 The Cauchy-Riemann Equations; 3.7 Conformal Mapping and Local Univalence; Chapter 4: Cauchy's Integral Theory; 4.1 The Index of a Closed Contour; 4.2 The Cauchy Integral Formula; 4.3 Cauchy's Theorem; Chapter 5: The Residue Theorem; 5.1 Laurent Series; 5.2 Classification of Singularities; 5.3 Residues; 5.4 Evaluation of Real Integrals 5.5 The Laplace Transform Chapter 6: Harmonic Functions and Fourier Series; 6.1 Harmonic Functions; 6.2 The Poisson Integral Formula; 6.3 Further Connections to Analytic Functions; 6.4 Fourier Series; Epilogue; Local Uniform Convergence; Harnack's Theorem; Results for Simply Connected Domains; The Riemann Mapping Theorem; Appendix A: Sets and Functions; Sets and Elements; Functions; Appendix B: Topics from Advanced Calculus; The Supremum and Infimum; Uniform Continuity; The Cauchy Product; Leibniz's Rule; References; Index; End User License Agreement |
| Record Nr. | UNINA-9910460278103321 |
|
Muir Jerry R. <1973->
|
||
| Hoboken, New Jersey : , : Wiley, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Complex Analysis : A Modern First Course in Function Theory
| Complex Analysis : A Modern First Course in Function Theory |
| Autore | Muir Jerry R |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | New York : , : John Wiley & Sons, Incorporated, , 2015 |
| Descrizione fisica | 1 online resource (277 pages) |
| Disciplina | 515 |
| Altri autori (Persone) | MuirJerry R., Jr |
| Soggetto topico |
Geometric function theory
Geometry Numbers, Complex |
| Soggetto genere / forma | Electronic books. |
| ISBN |
9781118705278
9781118705223 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Title Page -- Copyright -- Table of Contents -- Dedication -- Preface -- Chapter 1: The Complex Numbers -- 1.1 Why? -- 1.2 The Algebra of Complex Numbers -- 1.3 The Geometry of the Complex Plane -- 1.4 The Topology of the Complex Plane -- 1.5 The Extended Complex Plane -- 1.6 Complex Sequences -- 1.7 Complex Series -- Chapter 2: Complex Functions and Mappings -- 2.1 Continuous Functions -- 2.2 Uniform Convergence -- 2.3 Power Series -- 2.4 Elementary Functions and Euler's Formula -- 2.5 Continuous Functions as Mappings -- 2.6 Linear Fractional Transformations -- 2.7 Derivatives -- 2.8 The Calculus of Real-Variable Functions -- 2.9 Contour Integrals -- Chapter 3: Analytic Functions -- 3.1 The Principle of Analyticity -- 3.2 Differentiable Functions are Analytic -- 3.3 Consequences of Goursat's Theorem -- 3.4 The Zeros of Analytic Functions -- 3.5 The Open Mapping Theorem and Maximum Principle -- 3.6 The Cauchy-Riemann Equations -- 3.7 Conformal Mapping and Local Univalence -- Chapter 4: Cauchy's Integral Theory -- 4.1 The Index of a Closed Contour -- 4.2 The Cauchy Integral Formula -- 4.3 Cauchy's Theorem -- Chapter 5: The Residue Theorem -- 5.1 Laurent Series -- 5.2 Classification of Singularities -- 5.3 Residues -- 5.4 Evaluation of Real Integrals -- 5.5 The Laplace Transform -- Chapter 6: Harmonic Functions and Fourier Series -- 6.1 Harmonic Functions -- 6.2 The Poisson Integral Formula -- 6.3 Further Connections to Analytic Functions -- 6.4 Fourier Series -- Epilogue -- Local Uniform Convergence -- Harnack's Theorem -- Results for Simply Connected Domains -- The Riemann Mapping Theorem -- Appendix A: Sets and Functions -- Sets and Elements -- Functions -- Appendix B: Topics from Advanced Calculus -- The Supremum and Infimum -- Uniform Continuity -- The Cauchy Product -- Leibniz's Rule -- References -- Index.
End User License Agreement. |
| Record Nr. | UNINA-9910795816003321 |
|
Muir Jerry R
|
||
| New York : , : John Wiley & Sons, Incorporated, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Complex Analysis : A Modern First Course in Function Theory
| Complex Analysis : A Modern First Course in Function Theory |
| Autore | Muir Jerry R |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | New York : , : John Wiley & Sons, Incorporated, , 2015 |
| Descrizione fisica | 1 online resource (277 pages) |
| Disciplina | 515 |
| Altri autori (Persone) | MuirJerry R., Jr |
| Soggetto topico |
Geometric function theory
Geometry Numbers, Complex |
| Soggetto genere / forma | Electronic books. |
| ISBN |
9781118705278
9781118705223 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Title Page -- Copyright -- Table of Contents -- Dedication -- Preface -- Chapter 1: The Complex Numbers -- 1.1 Why? -- 1.2 The Algebra of Complex Numbers -- 1.3 The Geometry of the Complex Plane -- 1.4 The Topology of the Complex Plane -- 1.5 The Extended Complex Plane -- 1.6 Complex Sequences -- 1.7 Complex Series -- Chapter 2: Complex Functions and Mappings -- 2.1 Continuous Functions -- 2.2 Uniform Convergence -- 2.3 Power Series -- 2.4 Elementary Functions and Euler's Formula -- 2.5 Continuous Functions as Mappings -- 2.6 Linear Fractional Transformations -- 2.7 Derivatives -- 2.8 The Calculus of Real-Variable Functions -- 2.9 Contour Integrals -- Chapter 3: Analytic Functions -- 3.1 The Principle of Analyticity -- 3.2 Differentiable Functions are Analytic -- 3.3 Consequences of Goursat's Theorem -- 3.4 The Zeros of Analytic Functions -- 3.5 The Open Mapping Theorem and Maximum Principle -- 3.6 The Cauchy-Riemann Equations -- 3.7 Conformal Mapping and Local Univalence -- Chapter 4: Cauchy's Integral Theory -- 4.1 The Index of a Closed Contour -- 4.2 The Cauchy Integral Formula -- 4.3 Cauchy's Theorem -- Chapter 5: The Residue Theorem -- 5.1 Laurent Series -- 5.2 Classification of Singularities -- 5.3 Residues -- 5.4 Evaluation of Real Integrals -- 5.5 The Laplace Transform -- Chapter 6: Harmonic Functions and Fourier Series -- 6.1 Harmonic Functions -- 6.2 The Poisson Integral Formula -- 6.3 Further Connections to Analytic Functions -- 6.4 Fourier Series -- Epilogue -- Local Uniform Convergence -- Harnack's Theorem -- Results for Simply Connected Domains -- The Riemann Mapping Theorem -- Appendix A: Sets and Functions -- Sets and Elements -- Functions -- Appendix B: Topics from Advanced Calculus -- The Supremum and Infimum -- Uniform Continuity -- The Cauchy Product -- Leibniz's Rule -- References -- Index.
End User License Agreement. |
| Record Nr. | UNINA-9910820273803321 |
|
Muir Jerry R
|
||
| New York : , : John Wiley & Sons, Incorporated, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Composition operators and classical function theory / Joel H. Shapiro
| Composition operators and classical function theory / Joel H. Shapiro |
| Autore | Shapiro, Joel H. |
| Pubbl/distr/stampa | New York : Springer-Verlag, c1993 |
| Descrizione fisica | xvi, 223 p. : ill. ; 24 cm. |
| Disciplina | 515.7246 |
| Collana |
Universitext. Tracts in mathematics
Universitext |
| Soggetto topico |
Composition operators
Geometric function theory |
| ISBN | 0387940677 |
| Classificazione |
AMS 30C
AMS 47B38 QA329.2.S48 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991000772109707536 |
|
Shapiro, Joel H.
|
||
| New York : Springer-Verlag, c1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Computational methods and function theory
| Computational methods and function theory |
| Pubbl/distr/stampa | [Lemgo, Germany], : Heldermann Verlag, 2001- |
| Descrizione fisica | 1 online resource |
| Disciplina | 515 |
| Soggetto topico |
Geometric function theory
Théorie géométrique des fonctions Funktionentheorie |
| Soggetto genere / forma |
Periodicals.
Zeitschrift |
| ISSN | 2195-3724 |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Altri titoli varianti | CMFT |
| Record Nr. | UNISA-996216455603316 |
| [Lemgo, Germany], : Heldermann Verlag, 2001- | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Computational methods and function theory
| Computational methods and function theory |
| Pubbl/distr/stampa | [Lemgo, Germany], : Heldermann Verlag, 2001- |
| Descrizione fisica | 1 online resource |
| Disciplina | 515 |
| Soggetto topico |
Geometric function theory
Théorie géométrique des fonctions Funktionentheorie |
| Soggetto genere / forma |
Periodicals.
Zeitschrift |
| ISSN | 2195-3724 |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Altri titoli varianti | CMFT |
| Record Nr. | UNINA-9910307940903321 |
| [Lemgo, Germany], : Heldermann Verlag, 2001- | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
