U.S.-Western Europe Regional Seminar: Pade Approximants and Related Topics, Boulder, Colorado, June 20-24, 1988

该奖项支持10名美国数学家参与 一个多国研讨会由威廉·琼斯共同组织， 科罗拉多大学、科罗拉多州立大学的阿恩·马格纳斯和 特隆赫姆大学的哈康·瓦德兰和奥拉夫·恩贾斯塔德 （挪威）。 研讨会的目的是汇集 来自美国的数学家，挪威和其他几个欧洲国家 对Pade近似物有共同兴趣但 不同的数学背景和观点。 邀请 参与者包括资深和年轻的数学家， 在正交多项式、特殊多项式、 函数，矩理论，连分数，和其他领域的 近似理论 分享的见解和理解， 这些相关的观点预计将揭示新的路线， 研究，并导致参与者之间的合作增加 来自不同的国家。 Pade逼近式和连分式与 许多学科的纯数学和应用数学，包括 矩量理论，正交多项式，高斯求积， 解析函数的表示、渐近性和可求和性 发散级数 高速数字计算机的发展 促进了它们在数值分析，特别是 功能，理论物理和化学，以及 电子网络和数字信号处理。 的相互作用 不同的参与者应该提供新的见解， 对这些领域都有影响。

This award supports the participation of ten U.S. mathematicians in a multinational seminar coorganized by William Jones of the University of Colorado, Arne Magnus of Colorado State University and Haakon Waadeland and Olav Njastad of the University of Trondheim (Norway). The purpose of the seminar is to bring together mathematicians from the U.S., Norway, and several other European countries who share a common interest in Pade approximants but have different mathematical backgrounds and viewpoints. Invited participants include both senior and younger mathematicians with research expertise in topics such as orthogonal polynomials, special functions, moment theory, continued fractions, and other areas of approximation theory. The sharing of insight and understanding from these related perspectives is expected to uncover new lines of research and lead to increased cooperation among the participants from different countries. Pade approximants and continued fractions are closely related to many disciplines of pure and applied mathematics, including the theory of moments, orthogonal polynomials, Gaussian quadrature, representation of analytic functions, asymptotics and summability of divergent series. The development of high speed digital computers has fostered their application to numerical analysis, special functions, theoretical physics and chemistry, and the theory of electrical networks and digital signal processing. The interactions of the diverse participants should provide new insights that will have impact on several of these fields.