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Titlebook: Quadrature Domains and Their Applications; The Harold S. Shapir Peter Ebenfelt,Björn Gustafsson,Mihai Putinar Conference proceedings 2005 B

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书目名称Quadrature Domains and Their Applications
副标题The Harold S. Shapir
编辑Peter Ebenfelt,Björn Gustafsson,Mihai Putinar
视频video
概述Contains both original articles and survey papers covering quite a wide scope of ideas and applications in potential theory, complex analysis and applications.Expanded version of talks and contributed
丛书名称Operator Theory: Advances and Applications
图书封面Titlebook: Quadrature Domains and Their Applications; The Harold S. Shapir Peter Ebenfelt,Björn Gustafsson,Mihai Putinar Conference proceedings 2005 B
描述.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..
出版日期Conference proceedings 2005
关键词Operatortheorie; Potential; Spektraltheorie; calculus; differential equation; extrema; numerische Analysis
版次1
doihttps://doi.org/10.1007/b137105
isbn_ebook978-3-7643-7316-0Series ISSN 0255-0156 Series E-ISSN 2296-4878
issn_series 0255-0156
copyrightBirkhäuser Basel 2005
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Birkhäuser Basel 2005
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Quadrature Domains and Their Applications978-3-7643-7316-0Series ISSN 0255-0156 Series E-ISSN 2296-4878
发表于 2025-3-22 10:27:23 | 显示全部楼层
What is a Quadrature Domain?,We give an overview of the theory of quadrature domains with indications of some if its ramifications.
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On Uniformly Discrete Sequences in the Disk,We present an overview of uniformly discrete sequences and their relationship to other important types of sets, such as uniformly separated sequences, sets of interpolation and sampling, and zero-sets for Bergman spaces.
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Linear Analysis of Quadrature Domains. IV,The positive definiteness of the exponential transform of a planar domain is proved by elementary means. This direct approach avoids the heavy machinery of the theory of hyponormal operators and leads to a better understanding of the linear data associated in previous works to a quadrature domain.
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