Dear Spiral User, we appreciate your patience during this upgrade which is to benefit our userbase, improve their experience in Spiral, introduce improvements, fixes and maintaining our versioning for future updates. Please note if you encounter any issues in Spiral, please raise a ticket to Research Applications team providing as much detail as possible in order to help us resolve your query. Again, we thank you for your patience and support during the upgrade. Kind Regards, Spiral Upgrade Team.
 
Intrinsic pseudo-differential calculi on any compact Lie group
File(s)
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
URI
DOI
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/).
License URL