Analytic Hardy fields

2023/11/13 by Aschenbrenner, Matthias, Dries, Lou van den · 1 citation
#Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.2311.07352

Abstract

We show that maximal analytic Hardy fields are η₁ 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.

Cited by

• Short Hardy fields

Related

• The theory of maximal Hardy fields
• Maximal Hardy Fields
• Hardy fields, the intermediate value property, and ω-freeness
• Relative differential closure in Hardy fields
• Fields with Analytic Structure