ENGLISH

Quadrature domains and their applications: the Harold S. Shapiro anniversary volume

By Björn Gustafsson , Peter Ebenfelt , Dmitry Khavinson , Mihai Putinar

Book information

Publisher
Birkhauser Verlag
Year
2005
ISBN
9783764371456, 3-7643-7145-5
Open Library ID
OL9090910M
Language
english
Format
PDF
Filesize
3 MB (2957987 bytes)
Series
Operator theory, advances and applications 156
Edition
1
Pages
306\306
Library
mexmat
Time added
2009-07-20 03:45:11

Description

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.

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