Mathematical Sciences: Topics in Modern Analysis

数学科学：现代分析主题

• 批准号: 9613833
• 负责人: Marc Rieffel
• 金额: $ 6.17万
• 依托单位: University of California-Berkeley
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1996
• 资助国家: 美国
• 起止时间: 1996-07-15 至 2000-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9613833&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Topics; Modern; Analysis

9613833 Marc Rieffel The purpose of this project is to support research on a number of interconnected topics at the frontier of modern analysis, in the general area of operator algebras and group representations. These topics include quantization and quantum groups, aspects of quantum topology and differential geometry, and harmonic analysis on Lie groups. Attention will be given to relationships with applications in such areas as quantum mechanics and field theory, and signal processing.

9613833 Marc Rieffel 该项目的目的是支持现代分析前沿、算子代数和群表示的一般领域中许多相互关联的主题的研究。这些主题包括量化和量子群、量子拓扑和微分几何的各个方面，以及李群的调和分析。 将关注与量子力学和场论以及信号处理等领域的应用的关系。