Mathematical Sciences: Harmonic Analysis on Symmetric and Locally Symmetric Spaces

数学科学：对称和局部对称空间的调和分析

• 批准号: 9401193
• 负责人: Robert Stanton
• 金额: --
• 依托单位: Ohio State University Research Foundation -DO NOT USE
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-07-01 至 1996-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9401193&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Harmonic; Analysis; Symmetric

9401193 STANTON Stanton will continue his work on holomorphic torsion, extending it to the doubly-laced case. He will attempt to show that the formal geometric zeta function has a meromorphic extension to the complex plane. He will examine a number of other cases of locally symmetric or locally homogeneous geometries to test a conjectured technique for constructing geometric zeta functions using compactifications of the simply connected covering space. The general area of the research is analysis on symmetric spaces. One is interested in finding analogues of the classical special functions defined on geometric spaces that are generalizations of classical domains in n-dimensional complex space. ***

小行星9401193 斯坦顿将继续他的工作全纯扭转，将其扩展到双花边的情况。 他将试图表明，正式的几何zeta函数有一个亚纯扩展到复杂的平面。 他将研究一些其他情况下的局部对称或局部齐性几何测试一个approctured技术建设几何zeta函数使用紧化的简单连接覆盖空间。 研究的一般领域是对称空间的分析。 人们感兴趣的是寻找类似的经典特殊功能定义的几何空间，是推广的经典域在n维复空间。 ***