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.

Авторы
Savin A.Y. 1, 2 , Sternin B.Y. 1, 2
Издательство
Springer New York LLC
Номер выпуска
5
Язык
Английский
Страницы
647-660
Статус
Опубликовано
Том
248
Год
2020
Организации
  • 1 RUDN University, ul. Miklukho-Maklaya, str. 6, Moscow, 117198, Russian Federation
  • 2 Leibniz Universität Hannover, Welfengarten 1, Hannover, 30167, Germany
Дата создания
02.11.2020
Дата изменения
02.11.2020
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/64491/