Constructive Functions Tech-04: An International Conference

DMS 0411729Doron Lubinsky等人将于2004年11月7日至9日在乔治亚理工学院举行Tech - o4。本次会议将涵盖构造函数理论的所有方面：从势理论，到正交多项式理论和特殊函数，到近似理论以及与经典，泛函和数值分析的几个领域的相互作用。它还将强调这些学科在数据拟合，曲线和曲面拟合，小波以及信号和图像处理方面的应用。会议的目的是为这些领域之间的思想交流提供机会。构造函数理论、势理论、正交多项式理论和特殊函数理论以及近似理论是公认的分析分支，多年来一直保持着活力。他们最近与其他领域的互动在学科内外产生了许多重要的进展。例如，势理论的复杂应用使几十年来一直悬而未决的问题得以解决。最近由Percy Deift， Xin Zhou和其他人提出的正交多项式的黎曼-希尔伯特方法已经解决了与随机矩阵相关的长期问题，这些问题反过来又在组合学和统计物理学中得到了应用。近年来，单位圆上正交多项式的渐近性研究取得了很大进展，并与算子的谱分析密切相关。Barry Simon的700页专著将由美国数学学会出版，证明了该领域的活力。会议的主要目标之一是激发研究人员之间的讨论和启发思想，并为该领域的工作人员提供一个论坛，以满足和讨论当前的研究。会议将具有广泛的基础，这无疑将吸引具有强大国际成分的学术、工业和政府研究人员的良好组合（根据目前的统计，来自26个不同国家的90多名研究人员已在会议的网站上预先注册）。我们预计约有80至100人参加。会议将是完全开放的，许多与会者有机会介绍当前的研究。与此同时，我们期望这次会议通过18位主要国际专家的全体发言，使与会者了解当前特别感兴趣的几个领域的最新情况。为了讨论重要的研究方向，还将安排一到两次问题讨论。最后，组织者的一个同样重要的目标是确保年轻研究人员，特别是妇女和少数民族，以及在构造函数理论，势理论，正交多项式和特殊函数理论，近似理论和相关领域工作的博士生的参与。

DMS 0411729Doron Lubinsky et alGeorgia TechConstructive Functions Tech 04CONSTRUCTIVE FUNCTIONS TECH-O4 will be held November 7-9, 2004 at Georgia Institute of Technology. This conference will cover all aspects of constructive function theory: from potential theory, to the theory of orthogonal polynomials and special functions, to approximation theory and to the interactions with several areas of classical, functional, and numerical analysis. It will also emphasize applications of these disciplines to data fitting, curve and surface fitting, wavelets, and signal and image processing. The conference intends to provide opportunities for cross fertilization of ideas among these areas. Constructive function theory, potential theory, the theory of orthogonal polynomials and special functions, and approximation theory are well-established branches of analysis which have retained their vitality over many years. Their recent interactions with other fields have produced many important advances inside and outside the disciplines. For example, sophisticated applications of potential theory have permitted solutions to problems that had been open for decades. The recent Riemann-Hilbert approach by Percy Deift, Xin Zhou and others to orthogonal polynomials has produced solutions to long- standing problems related to random matrices, which in turn find applications in combinatorics and statistical physics. Very recently, there have been great advances in asymptotics of orthogonal polynomials on the unit circle with strong connection to the spectral analysis of operators. Barry Simon's 700 page monograph, to be published by the American Mathematical Society, attests to the vitality of the area. One of the main objectives of the conference is to stimulate discussion and inspire ideas among researchers, and to provide a forum for workers in the fields to meet and discuss current research. The conference will be broad-based and this will undoubtedly attract a good mix of academic, industrial, and government researchers with a strong international component (by the current count, over 90 researchers have pre-registered on the conference's web site from 26 different nations). We expect around 80 to 100 participants. The meeting will be completely open, with opportunities for many participants to present current research. At the same time, we Expect the conference to serve as a means to acquaint attendees with the state-of-art in several areas of special current interest through plenary presentations by 18 leading international experts. One or two problem sessions will also be arranged in order to discuss important research directions. Lastly, an equally important objective of the organizers is to secure the participation of young researchers, especially women and minorities, and doctoral students working in constructive function theory, potential theory, the theory of orthogonal polynomials and special functions, and approximation theory and related fields.