Subelliptic Peter-Weyl and Plancherel theorems on compact, connected, semisimple Lie groups

被引：2
|
作者：
Domokos, Andras [1 ]
机构：
[1] Calif State Univ Sacramento, Dept Math & Stat, Sacramento, CA 95819 USA
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 126卷
关键词：
Semisimple Lie groups; Sub-Riemannian geometry; Subelliptic Laplacian;
D O I：
10.1016/j.na.2015.04.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We will study the connections between the elliptic and subelliptic versions of the Peter-Weyl and Plancherel theorems, in the case when the sub-Riemannian structure is generated naturally by the choice of a Cartan subalgebra. Along the way we will introduce and study the subelliptic Casimir operator associated to the subelliptic Laplacian. (C) 2015 Elsevier Ltd. All rights reserved.
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页码：131 / 142
页数：12
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