九章讲堂第19讲(主讲嘉宾:范大山教授(威斯康辛大学密尔沃基分校))

作者: 时间:2022-07-24 点击数:

讲座题目:A Transference Theorem on Fourier Analysis

讲座摘要:To improve the convergence of Fourier series for a periodic functions g, one considers some summation method, which is also called a Fourier multiplier operator. The corresponding Fourier multiplier operator on the real line is defined as where is the Fourier transform of a function on the real line. I will show you that the    norm convergences of and are equivalent, based on DeLeeuw's transference method. Also, we will extend the result to the Lonrentz space .

讲座时间:2022727日(周三)上午8:30

讲座地点:线上讲座(腾讯会议,会议号:905-159-967

嘉宾简介:范大山(Fan Dashan),美国威斯康辛大学密尔沃基分校教授、博士生导师,国际著名调和分析专家。研究方向:抽象调和分析,经典调和分析和算子理论以及偏微分方程等多个领域。已发表SCI论文100余篇,包括《 Amer. J. Math》、《J. Funct. Anal.》、《Transaction of AMS》等一些国际顶级的数学杂志。

 

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