U.S.-Norway Cooperative Research on Pade Approximants and Related Topics

该奖项支持威廉B教授。的琼斯 科罗拉多大学和他的两个研究生 与奥拉夫教授合作进行数学研究 Njastad，Haakon Waadeland和其他人 挪威，特隆赫姆。 琼斯教授致力于 休假一年，继续他卓有成效的合作 挪威数学家 在此期间， 他的研究生将访问挪威的支持下， 这笔赠款与挪威集团合作。 受试者 这个美国-挪威在经典分析方面的合作 是Pade在复域上的有理插值 近似数和连分数。 联合工作将 包括在力矩理论中应用这种技术， 正交多项式和高斯求积。 的 合作者还将进行数学研究， 数字信号处理，包括确定 隐藏的周期 Pade逼近及其推广被用于 数学许多领域的理论和应用。 高速计算机的发展促进了 在物理和工程科学中的应用。 的 目前对这方面兴趣和活动范围很大 该领域将受益于这一美国的结果-挪威 协作

This award supports Professor William B. Jones of the University of Colorado and two of his graduate students to collaborate in mathematics research with Professors Olav Njastad, Haakon Waadeland and others of the University of Trondheim, Norway. Professor Jones is devoting his sabbatical year to continuing his fruitful collaboration with Norwegian mathematicians. During this period, two of his graduate students will visit Norway with support from this grant to work with the Norwegian group. The subject of this U.S.-Norwegian collaboration in classical analysis is rational interpolation in the complex domain by Pade approximants and continued fractions. The joint work will involve applications of this technique in moment theory, orthogonal polynomials and Gaussian quadrature. The collaborators will also pursue mathematical research on digital signal processing, including the determination of hidden periodicities. Pade approximants and their generalizations are employed in the theory and applications of many areas of mathematics. The development of high speed computers has stimulated applications in the physical and engineering sciences. The substantial current interest and range of activity in this field will benefit from the results of this U.S.-Norway collaboration.