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Magnetic Pseudo-differential Operators with Hörmander Symbols Dominated by Tempered Weights
Published 10 Nov 2025 in math-ph, math.AP, and math.MP | (2511.07184v1)
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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