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Quadrature Domains and Their Applications

The Harold S. Shapiro Anniversary Volume

Quadrature Domains and Their Applications by Peter Ebenfelt
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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.

Birkhäuser Basel; March 2006
305 pages; ISBN 9783764373160
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Title: Quadrature Domains and Their Applications
Author: Peter Ebenfelt; Bjorn Gustafsson; Dmitry Khavinson; Mihai Putinar
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