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：2022年7月27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。