2022年第4期第40讲：付延松教授学术报告

广州数学大讲坛第四期

第四十讲——中国矿业大学付延松教授学术报告

题目：Convergence of mock Fourier series on generalized Bernoulli convolutions

时间：2022年7月5日 （周二）下午14：00-16：30

地点：理学实验楼314

报告人：付延松教授

摘要：In this talk, we will talk about the problem of convergence of a class of trigonometric series supported on the generalized Bernoulli convolutions \mu on the real line R. Our main result shows that, under a technical condition, there are uncountably many exponential orthonormal bases for L^2(\mu) such that the associated mock Fourier series converge to itself in the sense of uniform, L^p (1\leq p\leq \infty)-norm and \mu-almost pointwise. This talk is based on a joint work with Dr. Min-Wei Tang and Professor Zhi-Ying Wen.

报告人简介：

付延松，华中科技大学博士毕业；现为中国矿业大学（北京）理学院教授，硕士生导师；研究领域为分形几何与测度谱理论。曾主持国家自然科学基金青年基金项目；在J.Math. Pures Appl., J. Funt. Anal., J.Fourier Anal. Appl. , J. Geom. Anal.，J. Approx. Theory 等国际知名SCI刊物发表论文。