On arc-analytic functions definable by a Weierstrass system

Krzysztof Jan Nowak

Displaying similar documents to “On arc-analytic functions definable by a Weierstrass system”

An inverse mapping theorem for arc-analytic homeomorphisms

Toshizumi Fukui, Krzysztof Kurdyka, Laurentiu Paunescu (2004)

Banach Center Publications

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We show that a subanalytic map-germ (Rⁿ,0) → (Rⁿ,0) which is arc-analytic and bi-Lipschitz has an arc-analytic inverse.

Arc-analyticity and polynomial arcs

Rémi Soufflet (2004)

Annales Polonici Mathematici

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We relate the notion of arc-analyticity and the one of analyticity on restriction to polynomial arcs and we prove that in the subanalytic setting, these two notions coincide.

Implicit function theorem for locally blow-analytic functions

Laurentiu Paunescu (2001)

Annales de l’institut Fourier

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In this paper we prove the implicit function theorem for , and as an interesting application of using blow-analytic homeomorphisms, we describe a very easy way to resolve singularities of analytic curves.