Magnetic Pseudo-differential Operators with H\"ormander Symbols Dominated by Tempered Weights
Mathematical Physics
2026-02-18 v2 Analysis of PDEs
math.MP
Abstract
We extend the matrix representation of magnetic pseudo-differential operators in a tight Gabor frame from [arXiv:1804.05220, arXiv:2212.12229] to asymmetrical quantizations and smooth symbols dominated by a tempered weight (and not just decay/growth properties in the momentum variables). This leads to new results regarding the symbol calculus of such operators and their Schatten-class properties.
Cite
@article{arxiv.2511.07184,
title = {Magnetic Pseudo-differential Operators with H\"ormander Symbols Dominated by Tempered Weights},
author = {Mikkel Hviid Thorn},
journal= {arXiv preprint arXiv:2511.07184},
year = {2026}
}
Comments
17 pages