Online Public Access Catalogue (OPAC)
Library,Documentation and Information Science Division

“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


Normal view MARC view ISBD view

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: TextTextSeries: 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 online
Contents:
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.
In: Springer eBooksSummary: 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.
Tags from this library: No tags from this library for this title. Log in to add tags.
Item type Current location Call number Status Date due Barcode Item holds
E-BOOKS E-BOOKS ISI Library, Kolkata
 
Available EB1135
Total holds: 0

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.

There are no comments for this item.

Log in to your account to post a comment.
Library, Documentation and Information Science Division, Indian Statistical Institute, 203 B T Road, Kolkata 700108, INDIA
Phone no. 91-33-2575 2100, Fax no. 91-33-2578 1412, ksatpathy@isical.ac.in


Visitor Counter