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

摘要：m-函数最初是由Weyl提出的。它对底层微分算子的谱理论的影响是由Titchmarsh首先研究的。在过去的50年里，m函数的范围及其在其他数学系统中的类比得到了广泛的发展。一个关于Titchmarsh-Weyl m-函数的会议计划于2004年7月在威尔士的卡迪夫召开，这次会议将汇集这一学科的专家以及数学以外的科学家，他们可能会在自己的工作中利用它来开发新的结果。这项提案的目标是使美国科学家（主要是研究生和刚获得博士学位的人）能够参与进来。通过该提案获得的资金将通过使特别是年轻科学家和研究生接触当前非常活跃的研究领域来加强研究和教育的基础设施。在选择参与者时，提案人将仔细考虑那些在数学中代表性不足的群体。

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.