报告承办单位: 数学与统计学院

报告内容: The Bargmann transform

报告人姓名: 朱克和

报告人所在单位: 美國紐約州立大學 (SUNY at Albany)

报告人职称/职务及学术头衔: 教授

报告时间: 2026年05月25日16:00-16:40

报告地点: 长沙理工大学云塘校区理科楼A-212

邀请人: 王桦

报告摘要: The Bargmann transform is an integral operator that maps $L^2$ of the real line unitarily onto the Fock space $F^2$ of the complex plane. Thus it establishes a correspondence between operators on $L^2$ and those on $F^2$, and serves as a bridge between real analysis, complex analysis, harmonic analysis, and functional analysis. I will talk about the action of the Bargmann transform on several classical operators on $L^2$, including the Fourier transform, the Hilbert transform, and linear canonical transforms. These examples lead to several natural classes of operators on the Fock space that were studied by various authors in recent years, including myself and some of my collaborators.

报告人简介: Kehe Zhu is distinguished professor and former chair at SUNY-Albany. He is a fellow of the American Mathematical Society and the Editor-in-Chief of the New York Journal of Mathematics. His research is in complex analysis and operator theory, which has been supported for many years by grants from the US National Science Foundation and resulted in the publication of over 140 papers in prestigious journals. He has also published several influential monographs, including three in the Springer GTM series and one in the AMS surveys and monographs series.