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

Quadrature domain names have been singled out approximately 30 years in the past by way of D. Aharonov and H.S. Shapiro in reference to an extremal challenge in functionality thought. when you consider that then, a chain of coincidental discoveries positioned this type of planar domain names on the middle of crossroads of a number of particularly self reliant mathematical theories, e.g., capability thought, Riemann surfaces, inverse difficulties, holomorphic partial differential equations, fluid mechanics, operator idea. the quantity is dedicated to fresh advances within the conception of quadrature domain names, illustrating good the multi-facet points in their nature. The e-book features a huge number of open difficulties relating the final topic of quadrature domains.

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