XJTLU Department of Applied Mathematics Hosts Workshop on Time-Frequency Analysis and Its Applications

On 22 August 2025, the Department of Applied Mathematics at the School of Mathematics and Physics, XJTLU, successfully hosted the Workshop on Time-Frequency Analysis and Its Applications.

The workshop’s goal was to share and showcase new developments related to time-frequency analysis and its applications. It brought together scholars from several well-known universities in China to exchange insights on the theory and applications of time-frequency analysis.

Time-frequency analysis is an important branch of harmonic analysis that characterises the variation of signals by combining both time and frequency dimensions. This approach plays a crucial role in mathematics, physics, quantum theory, image processing, and signal processing.

The workshop featured academic talks from several experts: Professor Qingying Xue from Beijing Normal University presented on “Uniform bounds for Hilbert transforms and related operators along polynomial curves”; Professor Feng Liu from Shandong University of Science and Technology introduced “Endpoint estimates for rough maximal and singular integral operators”; Professor Junfeng Li from Dalian University of Technology discussed “Two Types of Harmonic Analysis Problems Related to Curvature”; Professor Huoxiong Wu from Xiamen University reported on “Several problems on oscillatory singular integrals with rough kernels” ; and Professor Yongming Wen from Minnan Normal University shared results on “Two weight results of fractional integral operators and their commutators”. Professor Pascal Lefevre from XJTLU gave a talk titled “AI4Math - From Signal Signatures to Collaborative Mathematical Discovery,” introducing new directions that integrate artificial intelligence with time-frequency analysis and exploring its potential in the formal verification of mathematical logic.

The successful organisation of this workshop not only provided a platform for in-depth academic exchange but also achieved its goal of showcasing new developments related to time-frequency analysis and their relevance to signal and image processing.

By Ruoling Li

Edited by Qinru Liu