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arXiv · 2311.07352

Analytic Hardy fields

Matthias Aschenbrenner·Lou van den Dries
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Abstract

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.

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Matthias Aschenbrenner, Lou van den Dries. 2025-09-15. Analytic Hardy fields. https://arxiv.org/abs/2311.07352

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