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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.07184 |
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| _version_ | 1866911451626602496 |
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| author | Thorn, Mikkel Hviid |
| author_facet | Thorn, Mikkel Hviid |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_07184 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Magnetic Pseudo-differential Operators with Hörmander Symbols Dominated by Tempered Weights Thorn, Mikkel Hviid Mathematical Physics Analysis of PDEs 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. |
| title | Magnetic Pseudo-differential Operators with Hörmander Symbols Dominated by Tempered Weights |
| topic | Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2511.07184 |