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

对所有可积调和函数都满足精确高斯求积的平面域类是由D.Aharonov和H. S. Shapiro在30年前提出的，这些具有真实的代数边界的刚性集合是保角映射、流体力学、逼近论、位势论、图像处理和算子论等许多问题的重要研究对象。这些领域的顶尖专家将出席会议，并将讨论这一广泛领域的未来研究方向。会议将专门讨论一类平面形状，称为正交域，它是通过间接测量确定的。它们被证明是重要的应用范围从反问题的反问题的流体流动层析成像。这次会议将是一个独特的机会，年轻的研究人员，以满足所有相邻领域的专家，并分享想法和信息的正交领域。

The class of planar domains which satisfy an exact Gaussian quadrature for all integrable harmonic functionswas 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 avariety of problems related to conformal mapping, fluidmechanics, approximation theory, potential theory, imageprocessing and operator theory. Top experts in these areaswill attend the conference and will discuss the futuredirections of research in this broad area.The conference will be devoted to a class of planar shapes,called quadrature domains, which are finitely determined byindirect measurements. They turn out to be important forapplications ranging from inverse problems of geophysicsand fluid flows to tomography. The meeting will be a uniqueopportunity for young researchers to meet experts in alladjacent areas and to share ideas and information aboutquadrature domains.