On Traces of Operators Associated with Actions of Compact Lie Groups

Given a pair (M,X), where X is a smooth submanifold in a closed smooth manifold M, we study the operation that takes each operator D on the ambient manifold to a certain operator on the submanifold. The latter operator is called the trace of D. More precisely, we study traces of operators associated with actions of compact Lie groups on M. We show that traces of such operators are localized at special submanifolds in X and study the structure of the traces on these submanifolds. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.

Authors
Savin A.Y. 1, 2 , Sternin B.Y. 1, 2
Publisher
Springer New York LLC
Number of issue
5
Language
English
Pages
647-660
Status
Published
Volume
248
Year
2020
Organizations
  • 1 RUDN University, ul. Miklukho-Maklaya, str. 6, Moscow, 117198, Russian Federation
  • 2 Leibniz Universität Hannover, Welfengarten 1, Hannover, 30167, Germany
Date of creation
02.11.2020
Date of change
02.11.2020
Short link
https://repository.rudn.ru/en/records/article/record/64491/