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Pointwise convergence of noncommutative Fourier series

发布时间:2019-11-11 作者: 浏览次数:
Speaker: 洪桂祥 DateTime: 2019年11月12日 (星期二)16:00-17:30
Brief Introduction to Speaker:

洪桂祥,武汉大学。

Place: 二楼报告厅(6号楼 )
Abstract: In this talk, I shall talk about my recently finished joint work with Simeng Wang and Xumin Wang, which is the first progress on the pointwise convergence of noncommutative Fourier series, solving an open problem since Junge-Xu's remarkable ergodic maximal inequality in noncommutative analysis . Going back harmonic analysis on Euclidean space, one of our results suggests a new class of maximal inequalities which is quite interesting but challenging and deserves to be investigated. For more information, see the following abstract of the paper: This paper is devoted to the study of convergence of Fourier series for nonabelian groups and quantum groups. It is well-known that a number of approximation properties of groups can be interpreted as some summation methods and mean convergence of associated noncommutative Fourier series. Based on this framework, this work studies the refined counterpart of pointwise convergence of these Fourier series. We establish a general criterion of maxi...