TOPOLOGICAL OBSTRUCTIONS TO THE DIAGONALISATION OF PSEUDODIFFERENTIAL SYSTEMS
Artikel i vetenskaplig tidskrift, 2022

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.

Författare

Matteo Capoferri

Cardiff University

Grigori Rozenblioum

Chalmers, Matematiska vetenskaper

Euler International Mathematical Institute

Sirius University of Science and Technology

Nikolai Saveliev

University of Miami

Dmitri Vassiliev

University College London (UCL)

Proceedings of the American Mathematical Society, Series B

23301511 (eISSN)

Vol. 9 43 472-486

Ämneskategorier

Beräkningsmatematik

Geometri

Matematisk analys

DOI

10.1090/bproc/147

Mer information

Senast uppdaterat

2023-01-09