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Analytic Hardy fields
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PRE
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DOI：10.1017/s0010437x26102929.png)
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Abstract
En 中文
We show that maximal analytic Hardy fields are $\eta_1$ 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.
Keywords:
Hardy fields
transseries
Whitney approximation theorem
Journal
C
IF:
1.4
Papers:
45
Citations:
0
