报告题目：The Bargmann transform

报 告 人：朱克和教授（美国纽约州立大学）

报告时间：2019年8月5日 15:00-16:00

报告地点：数统院307学术报告厅

报告摘要：

The Bargmann transform is a unitary operator from of the real line on to the Fock space of Gaussian integrable entire functions on the complex plane. Under the Bargmann transform, many classical operators on take fascinating new forms on the Fock space. The talk will focus on several examples of operators on, including the Fourier transform and the Hilbert transform. Motivated by the Hilbert transform, we also define singular integral operators on the Fock space, examine several examples, formulate a conjecture about the boundedness of singular integral operators on , and present recent progress on the conjecture.

报告人简介：

朱克和，美国纽约州立大学（State University of New York at Albany）数学系教授，是国际分析数学领域著名的数学家，主要研究领域为解析函数空间上的算子理论，复分析，算子理论与算子代数等。