报告题目：Shift-invariant space on undirected graph

报告人：Qiyu Sun，University of Central Florida，USA

报告时间：2026年3月16日（周一）15:00-16:00

报告地点：20-200

报告摘要：Shift-invariant spaces (SISs) on the real line provide a natural framework for representing, analyzing and processing signals with inherent shift-invariant structure. In this talk, we extend this framework to the finite undirected graph setting by introducing the concept of graph shift-invariant spaces (GSISs). We examine several properties of GSISs, including their characterization via range functions and fiber functions in the Fourier domain, their connections to shift-invariant filters and polynomial filters, the frame and Riesz basis structures of finitely generated GSISs, and their intricate relationships with bandlimited spaces, finitely generated GSISs, and graph reproducing kernel Hilbert spaces with shift-invariant reproducing kernels (SIGRKHSs).

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.

邀请人：现代分析及其应用研究所