Analytic Hardy fields
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866915494436536320 |
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| author | Aschenbrenner, Matthias Dries, Lou van den |
| author_facet | Aschenbrenner, Matthias Dries, Lou van den |
| contents | We show that maximal analytic Hardy fields are $η_1$ in the sense of Hausdorff. We also prove various embedding theorems about analytic Hardy fields. For example, the ordered differential field $\mathbb T$ of transseries is shown to be isomorphic to an analytic Hardy field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_07352 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Analytic Hardy fields Aschenbrenner, Matthias Dries, Lou van den Logic Classical Analysis and ODEs Dynamical Systems We show that maximal analytic Hardy fields are $η_1$ in the sense of Hausdorff. We also prove various embedding theorems about analytic Hardy fields. For example, the ordered differential field $\mathbb T$ of transseries is shown to be isomorphic to an analytic Hardy field. |
| title | Analytic Hardy fields |
| topic | Logic Classical Analysis and ODEs Dynamical Systems |
| url | https://arxiv.org/abs/2311.07352 |