Constructing ω-free Hardy fields

Matthias Aschenbrenner

doi:10.1007/s11854-026-0447-y

2026-01-01

PRE

Matthias Aschenbrenner *

van den Dries, Lou

Joris van der Hoeven

DOI：10.1007/s11854-026-0447-y

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摘要

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我们证明了每个哈代域可以扩展为无ω的哈代域。这一结果与二阶齐次线性微分方程的经典振荡判据相关。它在[10]中是关键的，在此我们将其应用于回答博舍尼茨安的问题，并推广了他的一个定理。

Keyword:

DIFFERENTIAL-EQUATIONS

ORDERS

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JOURNAL D ANALYSE MATHEMATIQUE

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0.9

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university of illinois urbana-champaign

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university of vienna

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