Pointwise convergence of noncommutative Fourier series

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:洪桂祥教授
:2019-11-18 16:30
:实验楼105

       Speaker Prof. Guixiang Hong

                         Wuhan University

Title:    Pointwise convergence of noncommutative Fourier series

       Time:18 Nov 2019, 16:30

Location实验楼105

Abstract:    In this talk, I shall talk about my recently finished joint work with Simeng Wang 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 deserves to be investigated.

 Speaker  Introduction:洪桂祥,武汉大学数学与统计学院教授,博士毕业于法国弗朗什-孔泰大学,研究方向为调好分析与非交换分析及相关领域。2015年加盟武汉大学。至今在Communications in Mathematical Physics, Analysis PDE, Journal of Functional Analysis,Revista Matematica Iberoamericana和International Mathematics Research Notices等国际重要数学期刊上发表了多篇论文。


 

 

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