On the index of pseudo-differential operators on compact Lie groups

被引：0

作者：

Cardona, Duvan ^{[1
]}

机构：

[1] Pontificia Univ Javeriana, Dept Math, Bogota, Colombia

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2019年 / 10卷 / 02期

关键词：

Index theorem; Elliptic operator; Compact Lie group; Representation theory;

D O I：

10.1007/s11868-018-0261-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we study the analytical index of pseudo-differential operators by using the notion of (infinite dimensional) operator-valued symbols (in the sense of Ruzhansky and Turunen). Our main tools will be the McKean-Singer index formula together with the operator-valued functional calculus developed here.

引用

页码：285 / 305

页数：21

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