Applebaum, D. and Le Ngan, T. (2020) The positive maximum principle on Lie groups. Journal of the London Mathematical Society, 101 (1). pp. 136-155. ISSN 0024-6107
Abstract
We extend a classical theorem of Courrège to Lie groups in a global setting, thus characterising all linear operators on the space of smooth functions of compact support that satisfy the positive maximum principle. We show that these are Lévy type operators (with variable characteristics), and pseudo‐differential operators when the group is compact. If the characteristics are constant, then the operator is the generator of the contraction semigroup associated to a convolution semigroup of sub‐probability measures.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 London Mathematical Society. This is an author-produced version of a paper subsequently published in Journal of the London Mathematical Society. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 18 Jun 2019 10:20 |
Last Modified: | 07 Dec 2021 10:52 |
Status: | Published |
Publisher: | Wiley |
Refereed: | Yes |
Identification Number: | 10.1112/jlms.12262 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:147469 |