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/

该奖项提供了资金，以帮助将在2015年7月20日上8月7日在马里兰大学的大学公园校园举行的“现代谐波分析及其应用的暑期研究生及其应用”中的参与者支出。这位研究生的暑期学校将专注于现代的谐波分析和应用，特别是来自傅立叶和时频分析，有限框架理论，稀疏变换以及用于建模大数据的几何和分析方法的主题。 该指令包括七个为期四天的讲座系列，其中包括一个由计算机实验室工作补充的教程。这些目标是快速审查基本面，专注于过去10年的发展，并瞥见当前的研究和开放问题的状态。大多数此信息仅以原始研究论文或预印本的形式获得；暑期学校旨在使研究生，博士后研究人员和其他非专业主义者都可以使用这种材料。这本暑期学校由马里兰大学和数学研究所和其应用程序（IMA）共同赞助，这是通过后者的IMA参与机构的研究生夏季计划，将现代的官方官员探讨了一家人的谎言。课程的主要主题（与相应的讲师）为：傅立叶分析（John Benedetto）；框架和时间验证分析（Chris Heil）；有限帧的预处理（Kasso Okoudjou）；与框架（Radu Balan）的非线性分析；稀疏的傅立叶变换（安娜·吉尔伯特）；用于建模数据及其应用的几何和分析方法（Gilad Lerman）；和大数据的谐波分析（Wojtek czaja）。Summer学校网站：www.norbertwiener.umd.edu/education/ima2015/