Semi-classical analysis on H-type groups Dedicated to Professor Jean-Yves Chemin on the Occasion of His 60th Birthday

Semi-classical analysis on H-type groups Dedicated to Professor Jean-Yves Chemin on the Occasion of His 60th Birthday

论文摘要

In this paper, we develop semi-classical analysis on H-type groups. We define semi-classical pseudodifferential operators, prove the boundedness of their action on square integrable functions and develop a symbolic calculus. Then, we define the semi-classical measures of bounded families of square integrable functions which consist of a pair formed by a measure defined on the product of the group and its unitary dual, and by a field of trace class positive operators acting on the Hilbert spaces of the representations. We illustrate the theory by analyzing examples, which show in particular that this semi-classical analysis takes into account the finite-dimensional representations of the group, even though they are negligible with respect to the Plancherel measure.

论文目录

文章来源

类型: 期刊论文

作者: Clotilde Fermanian Kammerer,Véronique Fischer

来源: Science China(Mathematics) 2019年06期

年度: 2019

分类: 基础科学

专业: 数学

单位: Université Paris-Est, Laboratoire d’Analyse et de Mathématiques Appliquées (UMR 8050),Department of Mathematical Sciences, University of Bath

分类号: O152

页码: 1057-1086

总页数: 30

文件大小: 361K

下载量: 12

相关论文文献

Semi-classical analysis on H-type groups Dedicated to Professor Jean-Yves Chemin on the Occasion of His 60th Birthday
下载Doc文档

猜你喜欢