Quadrature Domains and Their Applications (eBook) von Peter Ebenfelt

Quadrature Domains and Their Applications
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The Harold S. Shapiro Anniversary Volume
 eBook
Sofort lieferbar | Lieferzeit: Sofort lieferbar

149,79 €* eBook

ISBN-13:
9783764373160
Veröffentl:
2006
Einband:
eBook
Seiten:
278
Autor:
Peter Ebenfelt
Serie:
156, Operator Theory: Advances and Applications
eBook Format:
PDF
eBook-Typ:
Reflowable eBook
Kopierschutz:
Digital Watermark [Social-DRM]
Sprache:
Englisch
Inhaltsverzeichnis
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.
Beschreibung

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 theories, e.g., potential theory, Riemann surfaces, inverse problems, holomorphic partial differential equations, fluid mechanics, operator theory. The volume is devoted to recent advances in the theory of quadrature domains, illustrating well the multi-facet aspects of their nature. The book contains a large collection of open problems pertaining to the general theme of quadrature domains.


 

Schlagwörter zu:

Quadrature Domains and Their Applications von Peter Ebenfelt - mit der ISBN: 9783764373160

Operatortheorie; Potential; Spektraltheorie; calculus; differential equation; extrema; numerische Analysis; operator theory; orthogonale Polynome; subharmonic function; C; Theoretical, Mathematical and Computational Physics; Analysis; Numerical Analysis; Mathematical Methods in Physics; Operator Theory; Mathematics and Statistics, Online-Buchhandlung


 

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