报告题目： Shift-invariant, bandlimited and shift-invariant reproducing kernel spaces on undirected graphs

报 告 人：Prof. Qiyu Sun（University of Central Florida）

报告时间：2025年6月13日（周五）16：00-17：00

报告地点：中心528报告厅

报告摘要：

    A shift-invariant space of functions on the line is a linear space invariant under integer shifts, which has been widely used in approximation theory, wavelet analysis, sampling theory, Gabor analysis and many other mathematical and engineering fields. In this talk, I will introduce the concept of graph shift-invariant space (GSIS) on an undirected finite graph, and study its bandlimiting, kernel reproducing and sampling properties. Based on the nested Krylov structure of GSISs in the spatial domain, we propose a novel sampling and reconstruction algorithm with finite steps, with its performance tested for flight delay dataset of the 50 busiest airports in the USA. The talk is based on a joint paper with Seok-Young Chung.

报告人简介：

    Qiyu Sun received the Ph.D. degree in mathematics from Hangzhou University, Hangzhou, China, in 1990. He is currently a Professor of mathematics with the University of Central Florida, Orlando, FL, USA. His research interests include applied and computational harmonic analysis, optimal control theory, mathematical signal processing and sampling theory. Together with Nader Motee, he received the 2019 SIAG/CST Best SICON Paper Prize for making a fundamental contribution to spatially distributed systems theory. He is on the editorial board of several journals, including Journal of Fourier Analysis and Applications, Frontiers in Signal Processing and Sampling Theory, Signal Processing, and Data Analysis.