非交换傅立叶变换

The Noncommutative Fourier Transform

这是最近子因子和局部紧量子群上的非交换傅立叶变换的一系列工作的综述.简要地介绍子因子和局部紧量子群的定义及其性质,给出了Hausdorff-Young不等式,Young不等式,不确定原理,合集估计以及它们的等号成立条件.

We present the recent work on the noncommutative Fourier transform for subfactors and locally compact quantum groups, a Survey. We give a short introduction to subfactors and locally compact quantum groups and their properties; the Hausdorff- Young inequality and its extremal functions; Young＇s inequality and its extremal pairs; uncertainty principles and its minimizers; a noncommutative sum set theorem.