Graduate Summer School in Modern Harmonic Analysis and Its Applications

现代调和分析及其应用研究生暑期学校

• 批准号: 1501640
• 负责人: Radu Balan
• 金额: $ 4.69万
• 依托单位: University of Maryland, College Park
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-03-01 至 2017-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1501640&HistoricalAwards=false
• 关键词: Graduate; Summer; Modern; Harmonic; Analysis

This award provides funding to help defray the expenses of participants in the "Graduate Summer School in Modern Harmonic Analysis and Its Applications" that will be held July 20-August 7, 2015, at the College Park campus of the University of Maryland. This summer school for graduate students will focus on modern harmonic analysis and applications, specifically, topics from Fourier and time-frequency analysis, finite frame theory, sparse transforms, and geometric and analytic methods for modeling big data. The instruction comprises seven four-day-long lecture series, including a tutorial, supplemented by computer lab work. The objectives are to quickly review the fundamentals, focus on the developments of the last 10 years, and provide a glimpse of the state of current research and open problems. Most of this information is available only in the form of original research papers or preprints; the summer school is intended to make this material accessible to graduate students, postdoctoral researchers, and other nonspecialists.This summer school, which is jointly sponsored by the University of Maryland and the Institute for Mathematics and Its Applications (IMA) through the latter's IMA Participating Institution Graduate Student Summer Program, brings together some of the leading harmonic analysts in the U.S. to explore topics that lie at the heart of modern harmonic analysis. The primary topics of the courses (with the corresponding lecturers) are the following: Fourier analysis (John Benedetto); frames and time-freqency analysis (Chris Heil); preconditioning of finite frames (Kasso Okoudjou); nonlinear analysis with frames (Radu Balan); sparse Fourier transforms (Anna Gilbert); geometric and analytic methods for modeling data, and their application (Gilad Lerman); and harmonic analysis of big data (Wojtek Czaja).Summer School web site: www.norbertwiener.umd.edu/Education/IMA2015/

该奖项提供资金帮助支付“现代谐波分析及其应用研究生暑期学校”参与者的费用，该暑期学校将于2015年7月20日至8月7日在马里兰大学学院公园校区举行。这个研究生暑期学校将重点关注现代谐波分析和应用，特别是傅里叶和时频分析、有限框架理论、稀疏变换以及用于大数据建模的几何和分析方法的主题。 该教学由七个为期四天的系列讲座组成，其中包括一个教程，并辅以计算机实验室工作。目标是快速回顾基础知识，关注过去 10 年的发展，并了解当前研究的状况和未解决的问题。大多数信息仅以原始研究论文或预印本的形式提供；该暑期学校旨在让研究生、博士后研究人员和其他非专业人士能够接触到这些材料。该暑期学校由马里兰大学和数学及其应用研究所 (IMA) 通过后者的 IMA 参与项目联合主办机构研究生暑期项目汇集了美国一些领先的谐波分析师，探讨现代谐波分析的核心主题。课程的主要主题（以及相应的讲师）如下： 傅立叶分析（John Benedetto）；帧和时频分析（Chris Heil）；有限框架的预处理（Kasso Okoudjou）；带框架的非线性分析（Radu Balan）；稀疏傅里叶变换（Anna Gilbert）；数据建模的几何和分析方法及其应用（Gilad Lerman）；和大数据调和分析（Wojtek Czaja）。暑期学校网站：www.norbertwiener.umd.edu/Education/IMA2015/