Magnetic Pseudo-differential Operators with Hörmander Symbols Dominated by Tempered Weights
arXiv:2511.07184 · doi:10.1007/s11868-026-00767-1
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.
17 pages