Symbol calculus for Gevrey pseudodifferential operators and adiabatic projectors
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866918494816174080 |
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| author | Xiong, Haoren |
| author_facet | Xiong, Haoren |
| contents | We construct a parametrix of an elliptic Gevrey pseudodifferential operator, by introducing a family of norms for formal Gevrey symbols with the property of a Banach algebra under the symbol calculus. As an application, we obtain exponential estimates for adiabatic projectors in the Gevrey setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_07693 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Symbol calculus for Gevrey pseudodifferential operators and adiabatic projectors Xiong, Haoren Analysis of PDEs Mathematical Physics 35S05, 41A60, 70H11 We construct a parametrix of an elliptic Gevrey pseudodifferential operator, by introducing a family of norms for formal Gevrey symbols with the property of a Banach algebra under the symbol calculus. As an application, we obtain exponential estimates for adiabatic projectors in the Gevrey setting. |
| title | Symbol calculus for Gevrey pseudodifferential operators and adiabatic projectors |
| topic | Analysis of PDEs Mathematical Physics 35S05, 41A60, 70H11 |
| url | https://arxiv.org/abs/2603.07693 |