Subanalytic blow-𝒞^{𝓂} functions

Fischer, Andreas; Kurdyka, Krzysztof

doi:10.1090/S0002-9939-09-09643-9

Subanalytic blow-$\mathcal {C}^m$ functions
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by Andreas Fischer and Krzysztof Kurdyka PDF

Proc. Amer. Math. Soc. 137 (2009), 2285-2291 Request permission

Abstract:

We describe rings of subanalytic functions which become continuously differentiable after finitely many local blowings-up with analytic centers.

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