Graduate Summer School in Modern Harmonic Analysis and Its Applications

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，该课程将于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专注于现代谐波分析及其应用，特别是傅里叶和时频分析、有限框架理论、稀疏变换以及大数据建模的几何和分析方法。该教学包括七个为期四天的系列讲座，包括一个教程，辅以计算机实验室的工作。目的是快速回顾基础，关注过去10年的发展，并提供当前研究状态和开放问题的一瞥。这些信息大多只能以原始研究论文或预印本的形式获得；暑期学校的目的是让研究生、博士后研究人员和其他非专业人士都能接触到这些材料。这个暑期学校由马里兰大学和数学及其应用研究所（IMA）联合主办，通过后者的IMA参与机构研究生暑期项目，汇集了美国一些领先的谐波分析专家，探讨现代谐波分析的核心主题。课程的主要主题（有相应的讲师）如下：傅里叶分析（约翰贝内代托）；帧和时频分析（克里斯·海尔）；有限框架的预处理（Kasso Okoudjou）；非线性框架分析（Radu Balan）；稀疏傅里叶变换（Anna Gilbert）；数据建模的几何和解析方法及其应用（Gilad Lerman）；以及大数据的谐波分析（Wojtek Czaja）。暑期学校网站：www.norbertwiener.umd.edu/Education/IMA2015/

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/