Equivalence of stability properties for ultradifferentiable function classes

Abstract

We characterize stability under composition, inversion, and solution of ordinary differential equations for ultradifferentiable classes, and prove that all these stability properties are equivalent.

16 pages, some stylistic chances made, accepted for publication in Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A Math. RACSAM

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