Search results for "Gevrey class"

The Zahorski theorem is valid in Gevrey classes

1996

Let {Ω,F,G} be a partition of R such that Ω is open, F is Fσ and of the first category, and G is Gδ . 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.