Pharmaceutical Chemistry Journal.
Vol. 45.
2011.
P. 306-308
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.
Authors
Sternin B.Y.
1,
2
Number of issue
4
Language
English
Pages
814-832
Status
Published
Link
Volume
9
Year
2011
Organizations
- 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
Keywords
Finiteness theorem; G-pseudodifferential operators; Lie groups; Pseudodifferential uniformization; Transversal ellipticity
Date of creation
19.10.2018
Date of change
19.10.2018
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Article
Pharmaceutical Chemistry Journal.
Vol. 45.
2011.
P. 302-305