Workshop on Time-Frequency Analysis and Its Applications
Time-frequency analysis is a rapidly evolving area of applied harmonic analysis. It is a signal processing method that enables us to observe how a signal's frequency content changes over time, which is especially useful for analyzing signals and images with varying frequency characteristics. Modern time-frequency analysis involves studying various generalized Fourier transforms (such as wavelet transform, short-time Fourier transform, etc.) on different function spaces (including Sobolev spaces, modulation spaces, Wiener amalgam spaces, etc.). This approach plays a crucial role in mathematics, physics, and several engineering fields such as quantum theory, image processing, signal processing, optics, and many others. The goal of this workshop is to share and showcase new developments related to time-frequency analysis and its applications. It aims to present current research on these topics, emphasizing their relevance in signal and image processing.
- Date: 22nd August, 2025
- Venue: MA205, North Campus, Xi’an Jiaotong-Liverpool University
- Organizers: Department of Applied Mathematics School of Mathematics and Physics
- Invited Speakers:
Qingying Xue (Beijing Normal University)
Feng Liu (Shandong University of Science and Technology) Junfeng Li (Dalian University of Technology)
Huoxiong Wu (Xiamen University) Yongming Wen (Minnan Normal University)
Pascal Lefevre (Xi’an Jiaotong-Liverpool University)
- Sponsors: Department of Applied Mathematics, School of Mathematics and Physics & XJTLU Research Development Fund (RDF-23-01-027)
- Contact: Anirudha Poria, Anirudha.Poria@xjtlu.edu.cn
Agenda
Date: 22-August-2025 Room: MA205
Time | Content | Speaker |
9:00 - 9:10 | Opening Speech | Alejandro Vidal Lopez |
9:10 - 9:30 | Photo | |
9:30 - 10:30 | Uniform bounds for Hilbert transforms and related operators along polynomial curves | Qingying Xue |
10:30 - 11:00 | Tea Break | |
11:00 - 12:00 | Endpoint estimates for rough maximal and singular integral operators | Feng Liu |
12:00 - 14:00 | Lunch | |
14:00 - 14:50 | Two Types of Harmonic Analysis Problems Related to Curvature | Junfeng Li |
14:50 -15:40 | Several problems on oscillatory singular integrals with rough kernels | Huoxiong Wu |
15:40 – 16:00 | Tea Break | |
16:00 - 16:50 | Two weight results of fractional integral operators and their commutators | Yongming Wen |
16:50 - 17:30 | AI4Math - From Signal Signatures to Collaborative Mathematical Discovery | Pascal Lefevre |
17:30 - 18:00 | Free Discussion |