Mathematical Sciences: Nilpotent Harmonic Analysis and RadarAmbiguity Function

数学科学：幂零调和分析和雷达模糊函数

• 批准号: 8503393
• 负责人: Louis Auslander
• 金额: $ 6.06万
• 依托单位: CUNY Graduate School University Center
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1985
• 资助国家: 美国
• 起止时间: 1985-07-15 至 1987-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8503393&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Nilpotent; Harmonic; Analysis

Mathematical research is continued in the areas of harmonic analysis and representation theory with special attention to nilmanifolds and their applications to engineering and science. Emphasis will be on certain nonlinear operators which are critical in the design of radar tests. During the years between 1950-70 there was a great deal of work on the radar ambiguity function. Since that time little progress has been made in the study of this important operator.

数学研究继续在谐波分析和表示理论领域，特别关注零流形及其在工程和科学中的应用。重点将放在某些非线性算子上，它们在雷达试验设计中是至关重要的。在1950- 1970年间，人们对雷达模糊函数进行了大量的研究。从那时起，对这一重要算子的研究几乎没有进展。