Conference on Quadrature Domains and Related Topics; March 27-30, 2003, Santa Barbara, California

University Of California-Santa Barbara, Santa Barbara CA

Investigators

Abstract

The class of planar domains which satisfy an exact Gaussian quadrature for all integrable harmonic functions was introduced 30 years ago by D.Aharonov and H.S.Shapiro. These rather rigid sets, with real alegbraic boundary, turned out to be essential objects of investigation in a variety of problems related to conformal mapping, fluid mechanics, approximation theory, potential theory, image processing and operator theory. Top experts in these areas will attend the conference and will discuss the future directions of research in this broad area. The conference will be devoted to a class of planar shapes, called quadrature domains, which are finitely determined by indirect measurements. They turn out to be important for applications ranging from inverse problems of geophysics and fluid flows to tomography. The meeting will be a unique opportunity for young researchers to meet experts in all adjacent areas and to share ideas and information about quadrature domains.