The Cauchy Transform, Potential Theory and Conformal Mapping

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Opis: The Cauchy Transform, Potential Theory and Conformal Mapping - Steven Bell

A new edition of this book explores more theorems than ever that may be deduced from simple facts about the Cauchy integral formula, the most central result in all of classical function theory. The book provides new numerical methods for computing classical objects of potential theory and conformal mapping as well as succinct explanations of these methods. Suitable for applied math students taking a graduate-level course on aspects of complex analysis, it will also be useful to physicists and engineers.Introduction The Improved Cauchy Integral Formula The Cauchy Transform The Hardy Space, the Szego Projection, and the Kerzman-Stein Formula The Kerzman-Stein Operator and Kernel The Classical Definition of the Hardy Space The Szego Kernel Function The Riemann Mapping Function A Density Lemma and Consequences Solution of the Dirichlet Problem in Simply Connected Domains The Case of Real Analytic Boundary The Transformation Law for the Szego Kernel under Conformal Mappings The Ahlfors Map of a Multiply Connected Domain The Dirichlet Problem in Multiply Connected Domains The Bergman Space Proper Holomorphic Mappings and the Bergman Projection The Solid Cauchy Transform The Classical Neumann Problem Harmonic Measure and the Szego Kernel The Neumann Problem in Multiply Connected Domains The Dirichlet Problem Again Area Quadrature Domains Arc Length Quadrature Domains The Hilbert Transform The Bergman Kernel and the Szego Kernel Pseudo-Local Property of the Cauchy Transform and Consequences Zeroes of the Szego Kernel The Kerzman-Stein Integral Equation Local Boundary Behavior of Holomorphic Mappings The Dual Space of A (OMEGA) The Green's Function and the Bergman Kernel Zeroes of the Bergman Kernel Complexity in Complex Analysis Area Quadrature Domains and the Double The Cauchy-Kovalevski Theorem for the Cauchy-Riemann Operator


Szczegóły: The Cauchy Transform, Potential Theory and Conformal Mapping - Steven Bell

Tytuł: The Cauchy Transform, Potential Theory and Conformal Mapping
Autor: Steven Bell
Producent: Productivity Press Inc
ISBN: 9781498727204
Rok produkcji: 2015
Ilość stron: 221
Oprawa: Twarda


Recenzje: The Cauchy Transform, Potential Theory and Conformal Mapping - Steven Bell

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The Cauchy Transform, Potential Theory and Conformal Mapping

A new edition of this book explores more theorems than ever that may be deduced from simple facts about the Cauchy integral formula, the most central result in all of classical function theory. The book provides new numerical methods for computing classical objects of potential theory and conformal mapping as well as succinct explanations of these methods. Suitable for applied math students taking a graduate-level course on aspects of complex analysis, it will also be useful to physicists and engineers.Introduction The Improved Cauchy Integral Formula The Cauchy Transform The Hardy Space, the Szego Projection, and the Kerzman-Stein Formula The Kerzman-Stein Operator and Kernel The Classical Definition of the Hardy Space The Szego Kernel Function The Riemann Mapping Function A Density Lemma and Consequences Solution of the Dirichlet Problem in Simply Connected Domains The Case of Real Analytic Boundary The Transformation Law for the Szego Kernel under Conformal Mappings The Ahlfors Map of a Multiply Connected Domain The Dirichlet Problem in Multiply Connected Domains The Bergman Space Proper Holomorphic Mappings and the Bergman Projection The Solid Cauchy Transform The Classical Neumann Problem Harmonic Measure and the Szego Kernel The Neumann Problem in Multiply Connected Domains The Dirichlet Problem Again Area Quadrature Domains Arc Length Quadrature Domains The Hilbert Transform The Bergman Kernel and the Szego Kernel Pseudo-Local Property of the Cauchy Transform and Consequences Zeroes of the Szego Kernel The Kerzman-Stein Integral Equation Local Boundary Behavior of Holomorphic Mappings The Dual Space of A (OMEGA) The Green's Function and the Bergman Kernel Zeroes of the Bergman Kernel Complexity in Complex Analysis Area Quadrature Domains and the Double The Cauchy-Kovalevski Theorem for the Cauchy-Riemann Operator

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Cena 387,00 PLN
Nasza cena 361,85 PLN
Oszczędzasz 6%
Wysyłka: Niedostępna
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Szczegóły: The Cauchy Transform, Potential Theory and Conformal Mapping - Steven Bell

Tytuł: The Cauchy Transform, Potential Theory and Conformal Mapping
Autor: Steven Bell
Producent: Productivity Press Inc
ISBN: 9781498727204
Rok produkcji: 2015
Ilość stron: 221
Oprawa: Twarda


Recenzje: The Cauchy Transform, Potential Theory and Conformal Mapping - Steven Bell

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