一、报告题目：无穷矩阵和积分算子的维纳引理

二、报告人：孙颀彧教授
三、时  间：2017年5月3日上午9:30---10:30  

                   5月4日上午9:30---10:30

                   5月5日上午9:30---10:30

                   5月8日上午9:30---10:30

                   5月9日下午14:30---15:30               

四、地 点：闻理园A4-305室 （其中5月4日上午的报告安排在A4-216进行）

 摘要：Lecture I : Wiener’s lemma and spectral invariance Wiener’s lemma states that a periodic function with absolutely convergent Fourier series has its reciprocal with absolutely convergent Fourier series if it does not vanish on the real line. The above lemma has applications from pure mathematics, applied mathematics and electronic engineering. The Wiener’s lemma was extended to noncommutative Banach algebras and infinite matrices. In this lecture, I will introduce three different approaches, including localization technique, spectral approach and commutator estimates. Also I will discuss several applications to spectral invariance of Bochner-Reisz means and Bessel potentials, localized inverse functions, and sparse optimizations.

附报告人简介:

    孙颀彧教授,国际知名应用调和分析专家。主要研究领域包括应用与计算调和分析，采样理论和信号处理；已发表论文105篇（SCI），专著1本，2项研究报告，在重要国际会议上受邀作学术报告70余次；主持了4项美国国家自然科学基金。

担任以下SCI国际著名杂志的主编或编委：《Advances in Computational Mathematics》、《Numerical Functional Analysis and Optimization》、《Sampling Theory in Signal and Imaging Processing》和《Frontiers in Applied Mathematics and Statistics》。

    欢迎广大师生参加！

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                                                                                                            数学与信息科学系

                                                                                                              2017年04月28日