Geodesic
The Zahorski theorem is valid in Gevrey classes
Fundamenta Mathematicae, Tome 151 (1996) no. 2, pp. 149-166.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm-151-2-149-166
Keywords: Gevrey classes, defect point, divergence point

Jean Schmets 1 ; Manuel Valdivia 1

1 
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Jean Schmets; Manuel Valdivia. The Zahorski theorem is valid in Gevrey classes. Fundamenta Mathematicae, Tome 151 (1996) no. 2, pp. 149-166. doi : 10.4064/fm-151-2-149-166. http://geodesic.mathdoc.fr/articles/10.4064/fm-151-2-149-166/

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