---

＜電子ブック＞
Quadrature Domains and Their Applications : The Harold S. Shapiro Anniversary Volume / edited by Peter Ebenfelt, Björn Gustafsson, Dmitry Khavinson, Mihai Putinar
(Operator Theory: Advances and Applications. ISSN:22964878 ; 156)

版	1st ed. 2005.
出版者	(Basel : Birkhäuser Basel : Imprint: Birkhäuser)
出版年	2005
本文言語	英語
大きさ	XXVIII, 278 p : online resource
著者標目	Ebenfelt, Peter editor Gustafsson, Björn editor Khavinson, Dmitry editor Putinar, Mihai editor SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Operator theory LCSH:Numerical analysis LCSH:Mathematical physics FREE:Analysis FREE:Operator Theory FREE:Numerical Analysis FREE:Mathematical Methods in Physics FREE:Theoretical, Mathematical and Computational Physics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/b137105

 類似資料