A Shubin pseudodifferential calculus on asymptotically conic manifolds
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918053904646144 |
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| author | Krainer, Thomas |
| author_facet | Krainer, Thomas |
| contents | We present a global pseudodifferential calculus on asymptotically conic manifolds that generalizes (anisotropic versions of) Shubin's classical global pseudodifferential calculus on Euclidean space to this class of noncompact manifolds. Fully elliptic operators are shown to be Fredholm in an associated scale of Sobolev spaces, and to have parametrices in the calculus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_08169 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Shubin pseudodifferential calculus on asymptotically conic manifolds Krainer, Thomas Analysis of PDEs Functional Analysis Operator Algebras 58J40 (Primary) 58J05, 47G30 (Secondary) We present a global pseudodifferential calculus on asymptotically conic manifolds that generalizes (anisotropic versions of) Shubin's classical global pseudodifferential calculus on Euclidean space to this class of noncompact manifolds. Fully elliptic operators are shown to be Fredholm in an associated scale of Sobolev spaces, and to have parametrices in the calculus. |
| title | A Shubin pseudodifferential calculus on asymptotically conic manifolds |
| topic | Analysis of PDEs Functional Analysis Operator Algebras 58J40 (Primary) 58J05, 47G30 (Secondary) |
| url | https://arxiv.org/abs/2408.08169 |