A conference on the Titchmarsh-Weyl $m$-function

关于 Titchmarsh-Weyl $m$ 函数的会议

基本信息

批准号：
0405265
负责人：
Rudi Weikard
金额：
$ 0.5万
依托单位：
University of Alabama at Birmingham
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：
2004-05-01 至 2005-04-30
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=0405265&HistoricalAwards=false
关键词：
conference Titchmarsh Weyl function

项目摘要

Proposal 0405265PI: Rudi WeikardUniv of Alabama BirminghamA Conference on the Titchmarsh-Weyl m-functionAbstractAbstract:The m-function was originally introduced by Weyl. Its implications for the spectral theory of the underlying differential operator were first investigated by Titchmarsh. In the intervening 50 years the scope of the m-function and also its analogies for other mathematical systems have been developed extensively. A meeting on the Titchmarsh-Weyl m-function is planned for July 2004 in Cardiff, Wales, to bring together experts in the subject as well as scientists outside of mathematics who may exploit its use to develop new results in their own work. The goal of this proposal is to make it possible for American scientists (mostly graduate students and recent Ph.D.s) to participate. Monies obtained through this proposal will enhance the infrastructure for research and education by exposing particularly young scientists and graduate students to a very active current research area. In selecting participants the proposer will give careful consideration to those groups which are underrepresented in mathematics.

提案 0405265PI：Rudi Weikard 阿拉巴马州伯明翰大学 Titchmarsh-Weyl m 函数会议摘要摘要：m 函数最初由 Weyl 提出。 Titchmarsh 首先研究了它对基础微分算子谱理论的影响。在接下来的 50 年里，m 函数的范围及其与其他数学系统的类比得到了广泛的发展。计划于 2004 年 7 月在威尔士卡迪夫召开一次关于 Titchmarsh-Weyl m 函数的会议，该主题的专家以及数学以外的科学家将齐聚一堂，他们可能会利用该函数在自己的工作中开发出新的成果。该提案的目标是让美国科学家（主要是研究生和最近的博士学位）能够参与。通过该提案获得的资金将通过让年轻科学家和研究生接触当前非常活跃的研究领域来增强研究和教育基础设施。在选择参与者时，提议者将仔细考虑那些在数学领域代表性不足的群体。