Formulas for Hadamard coefficients in terms of Green's operators
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866917444203839488 |
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| author | Ronge, Lennart |
| author_facet | Ronge, Lennart |
| contents | We describe various ways of obtaining the Hadamard coefficients associated to a normally hyperbolic operator from the corresponding Green's operators. As the Hadamard expansion on its own is not enough for this, we include additional information either by considering something like a resolvent or powers of Green's operators or by looking at a product of the original manifold with the real line. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_25763 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Formulas for Hadamard coefficients in terms of Green's operators Ronge, Lennart Differential Geometry Spectral Theory 58J45 (Primary) 58K55, 53B30 (Secondary) We describe various ways of obtaining the Hadamard coefficients associated to a normally hyperbolic operator from the corresponding Green's operators. As the Hadamard expansion on its own is not enough for this, we include additional information either by considering something like a resolvent or powers of Green's operators or by looking at a product of the original manifold with the real line. |
| title | Formulas for Hadamard coefficients in terms of Green's operators |
| topic | Differential Geometry Spectral Theory 58J45 (Primary) 58K55, 53B30 (Secondary) |
| url | https://arxiv.org/abs/2604.25763 |