一、报告题目：Shift-invariant spaces on undirected graphs

二、报告人：孙颀彧 教授

三、时 间：2026年3月17日（周二）16:45—17:30

四、地 点：和风居

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：

孙颀彧，美国中佛罗里达大学数学系教授。主要从事傅里叶分析、小波分析、框架理论、信号采样和处理等方面的研究工作。在国际顶尖权威杂志Memoirs of American Mathematical Society, Transaction of American Mathematical Society, Applied and Computational Harmonic Analysis, Advances in Computational Mathematics, IEEE Transaction on Information Theory, IEEE Transaction on Signal Processing, Journal of Fourier Analysis and Applications等发表论文100多篇，被引3000多次。先后担任Journal of Fourier Analysis and Applications,  Sampling Theory in Signal and Imaging Processing, Numerical Functional Analysis and Optimization等期刊的编委。

欢迎大家参加！联系人：数学与交叉科学研究院 房启全