On a class of nonlocal elliptic operators for compact Lie groups. Uniformization and finiteness theorem

We consider a class of nonlocal operators associated with an action of a compact Lie group G on a smooth closed manifold. Ellipticity condition and Fredholm property for elliptic operators are obtained. This class of operators is studied using pseudodifferential uniformization, which reduces the problem to a pseudodifferential operator acting in sections of infinite-dimensional bundles. © 2011 Versita Warsaw and Springer-Verlag Wien.

Авторы
Номер выпуска
4
Язык
Английский
Страницы
814-832
Статус
Опубликовано
Том
9
Год
2011
Организации
  • 1 Faculty of Science, Peoples Friendship University of Russia, Miklukho-Maklaya str, 117198 Moscow, Russian Federation
  • 2 Institute of Analysis, Leibniz University of Hannover, Welfengarten 1, 30167 Hannover, Germany
Ключевые слова
Finiteness theorem; G-pseudodifferential operators; Lie groups; Pseudodifferential uniformization; Transversal ellipticity
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/2519/