Capoferri, M;
Rozenblum, G;
Saveliev, N;
Vassiliev, D;
(2022)
Topological obstructions to the diagonalisation of pseudodifferential systems.
Proceedings of the American Mathematical Society, Series B
, 9
(43)
pp. 472-486.
10.1090/bproc/147.
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Abstract
Given a matrix pseudodifferential operator on a smooth manifold, one may be interested in diagonalising it by choosing eigenvectors of its prin-cipal symbol in a smooth manner. We show that diagonalisation is not always possible, on the whole cotangent bundle or even in a single fibre. We iden-tify global and local topological obstructions to diagonalisation and examine physically meaningful examples demonstrating that all possible scenarios can occur.
| Type: | Article |
|---|---|
| Title: | Topological obstructions to the diagonalisation of pseudodifferential systems |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1090/bproc/147 |
| Publisher version: | https://doi.org/10.1090/bproc/147 |
| Language: | English |
| Additional information: | © Copyright 2022 by the authors under Creative Commons Attribution 3.0 License (CC BY 3.0). See: https://creativecommons.org/licenses/by/3.0/ |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10163051 |
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