报告题目:Convergence of mock Fourier series on generalized Bernoulli convolutions
报 告人:付延松副教授中国矿业大学(北京)
报告时间:2022年7月5日(星期二)上午 10:00-11:00
报告地点:4号楼4318会议室
邀 请人:武文副教授
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数学学院
2022年7月4日
报告摘要: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, 中国矿业大学(北京) 副教授。主要从事分形几何及其相关领域的研究。