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arXiv · 2511.07184

Magnetic Pseudo-differential Operators with H\"ormander Symbols Dominated by Tempered Weights

Mikkel Hviid Thorn
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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.

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Mikkel Hviid Thorn. 2025-11-10. Magnetic Pseudo-differential Operators with H\"ormander Symbols Dominated by Tempered Weights. https://doi.org/10.1007/s11868-026-00767-1

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