Editors:
- 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 papers presented at the conference in March of 2003 at the UCSB to celebrate the 75th birthday of Harold S. Shapiro
- Survey articles, written by the leading experts in the field, will help to orient the beginners in the vastly increasing literature on the subject
Part of the book series: Operator Theory: Advances and Applications (OT, volume 156)
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Table of contents (13 papers)
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Front Matter
About this book
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.
Editors and Affiliations
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Department of Mathematics, University of California, San Diego, La Jolla, USA
Peter Ebenfelt
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Department of Mathematics, Royal Institute of Technology (KTH), Stockholm, Sweden
Björn Gustafsson
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Department of Mathematical Sciences, University of Arkansas, Fayetteville, USA
Dmitry Khavinson
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Mathematics Department, University of California, Santa Barbara, Santa Barbara, USA
Mihai Putinar
Bibliographic Information
Book Title: Quadrature Domains and Their Applications
Book Subtitle: The Harold S. Shapiro Anniversary Volume
Editors: Peter Ebenfelt, Björn Gustafsson, Dmitry Khavinson, Mihai Putinar
Series Title: Operator Theory: Advances and Applications
DOI: https://doi.org/10.1007/b137105
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Basel 2005
Hardcover ISBN: 978-3-7643-7145-6Published: 27 January 2005
eBook ISBN: 978-3-7643-7316-0Published: 10 March 2006
Series ISSN: 0255-0156
Series E-ISSN: 2296-4878
Edition Number: 1
Number of Pages: XXVIII, 278
Topics: Analysis, Operator Theory, Numerical Analysis, Mathematical Methods in Physics, Theoretical, Mathematical and Computational Physics