Quadrature Domains and Their Applications: The Harold S. Shapiro Anniversary Volume

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Peter Ebenfelt, Bjorn Gustafsson, Dmitry Khavinson, Mihai Putinar
Springer Science & Business Media, Mar 10, 2006 - Mathematics - 278 pages
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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.

 

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What does the link HA.0rM stand for in this document's mailing address? Interesting read, though. About half through.

Contents

B Gustafsson and H S Shapiro
1
A Aleman H Hedenmalm and S Richter
27
S R Bell
60
J A Cima A Matheson and W T Ross
79
Crowdy
113
P Duren A Schuster and D Vukotic
130
P Ebenfelt D Khavinson and H S Shapiro
151
B Gustafsson and M Putinar
173
Sakai
194
Conformal Mappings 217
216
T Sjödin
239
G Tkachev
256
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About the author (2006)

is Associate Professor of Mathematics at the Royal Institute of Technology, Stockholm, Sweden.

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