Quadrature Domains and Their Applications The Harold S. Shapiro Anniversary Volume /

Quadrature domains were singled out about 30 years ago by D. Aharonov and H.S. Shapiro in connection with an extremal problem in function theory. Since then, a series of coincidental discoveries put this class of planar domains at the center of crossroads of several quite independent mathematical th...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Ebenfelt, Peter (Editor ), Gustafsson, Björn (Editor ), Khavinson, Dmitry (Editor ), Putinar, Mihai (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2005.
Edición:1st ed. 2005.
Colección:Operator Theory: Advances and Applications, 156
Temas:
Mathematical analysis.
Operator theory.
Numerical analysis.
Mathematical physics.
Analysis.
Operator Theory.
Numerical Analysis.
Mathematical Methods in Physics.
Theoretical, Mathematical and Computational Physics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • What is a Quadrature Domain?
  • Recent Progress and Open Problems in the Bergman Space
  • The Bergman Kernel and Quadrature Domains in the Plane
  • The Cauchy Transform
  • Quadrature Domains and Fluid Dynamics
  • On Uniformly Discrete Sequences in the Disk
  • Algebraic Aspects of the Dirichlet Problem
  • Linear Analysis of Quadrature Domains. IV
  • Restriction, Localization and Microlocalization
  • Quadrature Domains and Brownian Motion (A Heuristic Approach)
  • Weighted Composition Operators Associated with Conformal Mappings
  • Quadrature Identities and Deformation of Quadrature Domains
  • Subharmonicity of Higher Dimensional Exponential Transforms.

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