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math.CA2006
Division by Flat Ultradifferentiable Functions and Sectorial Extensions
Vincent Thilliez
We consider classes of functions holomorphic in an open plane sector and belonging to a strongly non-quasianalytic class on the closure of . In $ \m…
math.CA2006
On the Stability of Analytic Germs under Ultradifferentiable Perturbations
Vincent Thilliez
Let be a real-analytic function germ whose critical locus contains a given real-analytic set , and let be a germ of closed subset of at the origin.…