Mathematical Sciences: Fourier Analysis

数学科学：傅立叶分析

• 批准号: 9501040
• 负责人: Stephen Wainger
• 金额: $ 20.65万
• 依托单位: University of Wisconsin-Madison
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1995
• 资助国家: 美国
• 起止时间: 1995-05-15 至 1999-10-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9501040&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Fourier; Analysis

Wainger/Seeger DMS-9501040 The proposed research will deal with several problems in classical analysis related to integral operators, Fourier integral operators, averages over curves and surfaces, maximal functions, functions of the Laplacian on Riemannian manifolds, and the interrelation between these topics. Mathematical research in harmonic analysis seeks to study the fine structure of mathematical functions and their underlying domains of definition. The tools developed by this work bring out hidden relationships not ordinarily detected by more classical methods.

Wainger/Seeger DMS-9501040 拟议的研究将处理几个问题，在经典分析有关的积分算子，傅立叶积分算子，平均曲线和曲面，极大函数，函数的拉普拉斯黎曼流形，以及这些主题之间的相互关系。 调和分析中的数学研究旨在研究数学函数的精细结构及其定义的基本域。 这项工作开发的工具带来了隐藏的关系，而不是通常检测到的更经典的方法。