Invited by Prof. Jun Geng and Prof. Sibei Yang of School of Mathematics and Statistics, Prof. Zunwei Fu from School of Mathematics and Statistics, Linyi University will give a lecture online.

Title: Fractional Fourier transforms on Lpand applications

Time: 7:30 p.m.,Sep. 20th, 2021

Conference ID:262 263 717( Tencent Conference)

Abstract:This talk is devoted to the Lp(R) theory of the fractional Fourier transform (FRFT) for1≤p<2. In view of the special structure of the FRFT, we study FRFT properties of L1 functions, via the introduction of a suitable chirp operator. However, in the L1(R)setting, problems of convergence arise even when basic manipulations of functions are performed. We overcome such issues and study the FRFT inversion problem via approximation by suitable means, such as the fractional Gauss and Abel means. We also obtain there gularity of fractional convolution and results on pointwise convergence ofFRFT means. Finally we discuss Lp multiplier results and a Littlewood-Paley theorey associated with FRFT. This is joint work with Dr. Wei Chen, Prof. Loukas Grafakos and Dr. Yue Wu.