Quadrature Domains and Their Applications [electronic resource] : The Harold S. Shapiro Anniversary Volume / edited by Peter Ebenfelt, Björn Gustafsson, Dmitry Khavinson, Mihai Putinar.
Contributor(s): Ebenfelt, Peter [editor.]  Gustafsson, Björn [editor.]  Khavinson, Dmitry [editor.]  Putinar, Mihai [editor.]  SpringerLink (Online service).
Material type: TextSeries: Operator Theory: Advances and Applications: 156Publisher: Basel : Birkhäuser Basel, 2005Description: XXVIII, 278 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783764373160.Subject(s): Global analysis (Mathematics)  Operator theory  Numerical analysis  Mathematical physics  Analysis  Operator Theory  Numerical Analysis  Mathematical Methods in Physics  Theoretical, Mathematical and Computational PhysicsAdditional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification: 515 Online resources: Click here to access onlineItem type  Current location  Call number  Status  Date due  Barcode  Item holds  

EBOOKS 
ISI Library, Kolkata

Available  EB1135 
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 multifacet aspects of their nature. The book contains a large collection of open problems pertaining to the general theme of quadrature domains.
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