Constructive Functions Tech-04: An International Conference

构造函数 Tech-04：国际会议

• 批准号: 0411729
• 负责人: Doron Lubinsky
• 金额: $ 1.65万
• 依托单位: Georgia Tech Research Corporation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-08-15 至 2005-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0411729&HistoricalAwards=false
• 关键词: Constructive; Functions; Tech; 04; International

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.

DMS 0411729DORON LUBINSKY等人Algeorgia TechConstructive函数技术04构建功能Tech-O4将于2004年11月7日至9日在乔治亚技术学院举行。这次会议将涵盖建设性功能理论的各个方面：从潜在理论到正交多项式和特殊功能的理论，再到近似理论，再到与经典，功能和数值分析的几个领域的相互作用。它还将强调这些学科的应用在数据拟合，曲线和表面拟合，小波以及信号和图像处理中。该会议旨在为这些领域之间的思想交叉施肥提供机会。 建设性功能理论，潜在理论，正交多项式和特殊功能的理论以及近似理论是公认的分析分支，在多年来一直保持活力。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步。例如，潜在理论的复杂应用已允许解决数十年来开放的问题的解决方案。珀西·迪夫特（Percy Deift），辛（Xin Zhou）和其他人对正交多项式的方法最近采用的Riemann-Hilbert方法为与随机矩阵有关的长期存在问题提供了解决方案，这反过来又在Combinatorics和统计物理学中找到了应用。最近，在单位圆圈上的正交多项式的渐近渐近学取得了巨大进步，与操作员的光谱分析有很强的联系。巴里·西蒙（Barry Simon）的700页专着将由美国数学学会出版，证明了该地区的活力。 会议的主要目的之一是激发研究人员之间的讨论和启发，并为该领域的工人提供论坛，以见面和讨论当前的研究。该会议将基于广泛，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结合（按目前的计数，超过90名研究人员已从26个不同国家预先注册在会议的网站上）。我们预计约80至100名参与者。 会议将完全开放，许多参与者有机会进行当前的研究。同时，我们预计会议将通过18个领先的国际专家的全体演讲来使与会者在当前的一些特殊兴趣中熟悉与艺术品的一种手段。还将安排一两个问题会议，以讨论重要的研究方向。最后，组织者的同样重要目标是确保年轻研究人员，尤其是妇女和少数群体的参与，以及从事建设性功能理论，潜在理论，正交多项式和特殊功能的理论以及近似理论以及相关领域的博士学位。