Proves that the intersection of maximal analytic Hardy fields coincides with that of all maximal Hardy fields, confirming Boshernitzan's conjecture via relative differential closure.
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Defines universal exponential extension of algebraically closed differential fields and proves normalization theorems for algebraic differential equations over H-fields.
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Relative differential closure in Hardy fields
Proves that the intersection of maximal analytic Hardy fields coincides with that of all maximal Hardy fields, confirming Boshernitzan's conjecture via relative differential closure.
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Normalizing Asymptotic Differential Equations
Defines universal exponential extension of algebraically closed differential fields and proves normalization theorems for algebraic differential equations over H-fields.