Resolvent trace asymptotics for operators in the Shubin class
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866917127934443520 |
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| author | Seiler, Jörg |
| author_facet | Seiler, Jörg |
| contents | A new pseudodifferential calculus of Shubin type is introduced. The calculus contains operators depending on a non negative real parameter as well as operators independent of the parameter. Resolvents of Shubin type pseudodifferential operators are constructed and their trace expansion is obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_05689 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Resolvent trace asymptotics for operators in the Shubin class Seiler, Jörg Analysis of PDEs 47G30, 47L80, 47A10 A new pseudodifferential calculus of Shubin type is introduced. The calculus contains operators depending on a non negative real parameter as well as operators independent of the parameter. Resolvents of Shubin type pseudodifferential operators are constructed and their trace expansion is obtained. |
| title | Resolvent trace asymptotics for operators in the Shubin class |
| topic | Analysis of PDEs 47G30, 47L80, 47A10 |
| url | https://arxiv.org/abs/2512.05689 |