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Subjects
26-XX Real functions
26Exx Miscellaneous topics
26E10 $C^{\infty}$ -functions, quasi-analytic functions

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The Zahorski theorem is valid in Gevrey classes

Jean Schmets, Manuel Valdivia (1996)

Fundamenta Mathematicae

Let Ω,F,G be a partition of $ℝ^{n}$ such that Ω is open, F is $F_{σ}$ and of the first category, and G is $G_{δ}$ . We prove that, for every γ ∈ ]1,∞[, there is an element of the Gevrey class Γγ which is analytic on Ω, has F as its set of defect points and has G as its set of divergence points.

Théorème de Newton pour les fonctions de classe $C^{r}$

Gérard Barbançon (1972)

Annales scientifiques de l'École Normale Supérieure

Currently displaying 1 – 2 of 2

Page 1

Displaying 1 – 2 of 2

The Zahorski theorem is valid in Gevrey classes

Théorème de Newton pour les fonctions de classe C r

Currently displaying 1 – 2 of 2

Théorème de Newton pour les fonctions de classe $C^{r}$