Analytic subalgebras of weighted Fourier algebras and complexification of Lie groups

分析学研讨班

题目：Analytic subalgebras of weighted Fourier algebras and complexification of Lie groups 

报告人：Heon Lee(首尔国立大学)

时间：2024年4月17日（星期三），14:30-16:00

地点：明德楼B201-1报告厅

Zoom会议，会议号：946 1307 0421，密码：371188

摘要：In this talk, we focus on how we can interpret the actions of the elements in the Gelfand spectrum of a weighted Fourier algebra on connected Lie groups. They can be viewed as evaluations on specific points of the complexification of the underlying Lie group. For this purpose, we need to introduce a particular dense subalgebra of the weighted Fourier algebra, which we call an analytic subalgebra. We first introduce an analytic subalgebra allowing a “local” solution for general connected Lie groups. We will demonstrate that a “global” solution is also possible for simply connected nilpotent Lie groups. 

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