Intrinsic pseudo-differential calculi on any compact Lie group
File(s)Journal ofFunctionalAnalysis268(2015)3404–3477.pdf (1.07 MB)
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Author(s)
Fischer, V
Type
Journal Article
Abstract
In this paper, we define in an intrinsic way operators on a compact Lie group by means of symbols using the representations of the group. The main purpose is to show that these operators form a symbolic pseudo-differential calculus which coincides or generalises the (local) Hörmander pseudo-differential calculus on the group viewed as a compact manifold.
Date Issued
2015-03-29
Date Acceptance
2015-03-22
Citation
Journal of Functional Analysis, 2015, 268 (11), pp.3404-3477
ISSN
1096-0783
Publisher
Elsevier
Start Page
3404
End Page
3477
Journal / Book Title
Journal of Functional Analysis
Volume
268
Issue
11
Copyright Statement
© 2015 The Author. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
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