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

报 告 人：孙颀彧 教授 （中佛罗里达大学）

报告时间：2025年6月3日（星期二）8:20-9:20

报告地点：数学科学学院115

校内联系人： 李俊峰 教授     联系方式：84708351-8418

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 band limiting, 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 data set 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：孙颀彧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, Transactionof American Mathematical Society, Applied and Computational Harmonic Analysis, Advancesin Computational Mathematic, IEEE Transaction on Information Theory, IEEE Transaction on Signal Processing, Journal of Fourier Analysis and Applications等发表论文100多篇。担任Frontiers in Applied Mathematics and Statistics, Sampling Theory in Signal and Imaging Processing, Numerical Functional Analysisand Optimization, Advances in Computational Mathematics等期刊的编委。孙教授发表学术论文160多篇，文章引用率3000多次。