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.
General
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