Constructing ω-free Hardy fields

Journal d Analyse Mathématique 2026 Open access

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Authors: Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven
DOI: 10.1007/s11854-026-0447-y
Cited by: 1
References: 64

Abstract

Abstract We show that every Hardy field extends to an ω-free Hardy field. This result relates to classical oscillation criteria for second-order homogeneous linear differential equations. It is essential in [10], and here we apply it to answer questions of Boshernitzan, and to generalize a theorem of his.

Fields of Study & Subjects

Stochastic processes and financial applications Holomorphic and Operator Theory Nonlinear Differential Equations Analysis

Publication details

Journal / source
Journal d Analyse Mathématique
Publisher
Springer Science and Business Media LLC
Volume
159
Issue
2
Pages
513–579
Publication date
19 April 2026
Language
EN