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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/2508.20081 |
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| _version_ | 1866911125803630592 |
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| author | Vasy, András |
| author_facet | Vasy, András |
| contents | In this short paper we discuss the precise relationship between the semiclassical and standard pseudodifferential algebras and explore implications such as for large spectral parameter elliptic estimates, even in the case of pseudodifferential spectral familes. We also explain the connection between second microlocalization and this relationship. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_20081 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the relationship between the semiclassical and standard pseudodifferential algebras Vasy, András Analysis of PDEs 35S05 In this short paper we discuss the precise relationship between the semiclassical and standard pseudodifferential algebras and explore implications such as for large spectral parameter elliptic estimates, even in the case of pseudodifferential spectral familes. We also explain the connection between second microlocalization and this relationship. |
| title | On the relationship between the semiclassical and standard pseudodifferential algebras |
| topic | Analysis of PDEs 35S05 |
| url | https://arxiv.org/abs/2508.20081 |