Cauchy Transform, Potential Theory and Conformal Mapping
portes grátis
Cauchy Transform, Potential Theory and Conformal Mapping
Bell, Steven R.
Taylor & Francis Ltd
10/2024
222
Mole
9781032927510
Pré-lançamento - envio 15 a 20 dias após a sua edição
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Introduction. The Improved Cauchy Integral Formula. The Cauchy Transform. The Hardy Space, the Szegoe Projection, and the Kerzman-Stein Formula. The Kerzman-Stein Operator and Kernel. The Classical Definition of the Hardy Space. The Szegoe 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 Szegoe 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 Szegoe 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 Szegoe Kernel. Pseudo-Local Property of the Cauchy Transform and Consequences. Zeroes of the Szegoe Kernel. The Kerzman-Stein Integral Equation. Local Boundary Behavior of Holomorphic Mappings. The Dual Space of A8(O). 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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Holomorphic Functions;Smooth;holomorphic;Cauchy Transform;function;Smooth Boundary;unit;Unit Disc;disc;Bergman Kernel;Riemann Map;boundary;Biholomorphic Map;bergman;Riemann Mapping Function;kernel;Garabedian Kernel;riemann;Real Analytic Boundary;dirichlet;Dense;Bergman Projection;Holds;Bounded Domain;Conformal Mapping;Dirichlet Problem;Cauchy Integral Formula;Quadrature Domain;Bergman Space;Follow;Poisson Kernel;Harmonic Function;Hardy Space;Meromorphic Function
Introduction. The Improved Cauchy Integral Formula. The Cauchy Transform. The Hardy Space, the Szegoe Projection, and the Kerzman-Stein Formula. The Kerzman-Stein Operator and Kernel. The Classical Definition of the Hardy Space. The Szegoe 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 Szegoe 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 Szegoe 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 Szegoe Kernel. Pseudo-Local Property of the Cauchy Transform and Consequences. Zeroes of the Szegoe Kernel. The Kerzman-Stein Integral Equation. Local Boundary Behavior of Holomorphic Mappings. The Dual Space of A8(O). 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.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Holomorphic Functions;Smooth;holomorphic;Cauchy Transform;function;Smooth Boundary;unit;Unit Disc;disc;Bergman Kernel;Riemann Map;boundary;Biholomorphic Map;bergman;Riemann Mapping Function;kernel;Garabedian Kernel;riemann;Real Analytic Boundary;dirichlet;Dense;Bergman Projection;Holds;Bounded Domain;Conformal Mapping;Dirichlet Problem;Cauchy Integral Formula;Quadrature Domain;Bergman Space;Follow;Poisson Kernel;Harmonic Function;Hardy Space;Meromorphic Function
