Analytic Hardy fields
Logic
2025-09-16 v3 Classical Analysis and ODEs
Dynamical Systems
Abstract
We show that maximal analytic Hardy fields are in the sense of Hausdorff. We also prove various embedding theorems about analytic Hardy fields. For example, the ordered differential field of transseries is shown to be isomorphic to an analytic Hardy field.
Keywords
Cite
@article{arxiv.2311.07352,
title = {Analytic Hardy fields},
author = {Matthias Aschenbrenner and Lou van den Dries},
journal= {arXiv preprint arXiv:2311.07352},
year = {2025}
}
Comments
42 pp.; to appear in Compos. Math