报告人：王彦波(武汉纺织大学)

报告题目：A Generalization of AFD Algorithm From H^2 to H^p Spaces

报告摘要：In this talk, we study decomposition of functions in Hardy Spaces H^p(D) which is a generalization of AFD(Adaptive Fourier Decomposition) algorithm in H^2. First, we give a direct application of AFD to functions in H^p(D). Then, we study adaptive decomposition by the normalized Szego kernel dictionary. We give a maximal selection principle and adaptive decomposition procedure. Under the proposed algorithm, functions in H^p(D) can be effectively expressed by a linear combination of Szego kernels whether the hyperbolic non-separability condition holds or not.

报告人简介：王彦波，武汉纺织大学数学与计算机学院信息与计算科学系，副教授。主要研究方向为时-频分析，非线性逼近，复分析。主持自科基金项目1项，参与自科基金项目2项，在Advances in Computational Mathematics, Journal of Fourier Analysis and Applications, Computers and Mathematics with Applications, Mathematical Methods in the Applied Science 等期刊发表论文多篇。

报告时间：2019年3月21日（星期四）下午16:30-17:30

报告地点：科技楼南楼602室