Fourier multipliers on HNN extensions

Release time:2024-04-01Views:14

ANALYSIS SEMINAR


Title: Fourier multipliers on HNN extensions


Speaker:Runlian Xia (University of Glasgow) 


Time: Wednesday, April 3, 2024, 14:30-16:00


Location: B201-1, Mingde Building

Zoom ID: 946 1307 0421, Password: 371188


Abstract: 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. 



More information about the Analysis Seminar can be found here.




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