Fourier multipliers on HNN extensions

发布时间:2024-04-01浏览次数:13

分析学研讨班


题目:Fourier multipliers on HNN extensions


报告人:夏润莲 (格拉斯哥大学)


时间:2024年4月3日(星期三),14:30-16:00


地点:明德楼B201-1报告厅

Zoom会议,会议号:946 1307 0421,密码:371188


摘要:Amalgamated free products and HNN extensions are the two fundamental objects in the Bass-Serre theory. In this talk, we will introduce some Lp-bounded (1 <p < ∞) Fourier multipliers for HNN extensions, with the help of Khinchine type inequalities on these groups. This work is a continuation of a recent work with Adrián González and Javier Parcet. It is related to the results of Mei, Ricard and Xu who proved Lp-boundedness of the same type of Fourier multipliers on amalgamated free products of von Neumann algebras.

 

 

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