Mathematical Sciences: Research in Harmonic Analysis

数学科学：调和分析研究

• 批准号: 8807889
• 负责人: Kenneth Gross
• 金额: $ 4.7万
• 依托单位: University of Vermont & State Agricultural College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-03-15 至 1991-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8807889&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Research; Harmonic; Analysis

The principal investigator works on the interface between classical function theory and abstract harmonic analysis. This project continues his mathematical research in three main areas. First, in collaboration with R. Kunze, the principal investigator will extend his study of reciprocity and branching theorems for reductive groups. Second, he will derive explicit descriptions of Bessel functions of matrix argument. Third, he will apply generalized gamma functions to investigate hypergeometric series in matrix variables. The latter two programs are interdisc- iplinary research projects with statistician D. Richards.

首席研究员的工作是 经典函数论和抽象调和分析。这 项目继续他的数学研究在三个主要领域。 首先，与R。昆泽，首席研究员 将他的互惠和分支定理的研究扩展到 还原群第二，他将明确描述 矩阵辐角的贝塞尔函数。第三，他会申请 超几何级数的广义伽玛函数 矩阵变量。后两个程序是interdisc- 与统计学家进行的研究项目D.理查兹。