A functional inequality for real-analytic functions.
A lemma on mixed derivatives with applications to edge-of-the-wedge, Radon transformation and a theorem of Forelli
A note on composition operators on spaces of real analytic functions
We characterize composition operators on spaces of real analytic functions which are open onto their images. We give an example of a semiproper map φ such that the associated composition operator is not open onto its image.
Analytic functions are -density continuous
A real function is -density continuous if it is continuous with the -density topology on both the domain and the range. If is analytic, then is -density continuous. There exists a function which is both and convex which is not -density continuous.
Analytical properties of power series on Levi-Civita fields
A detailed study of power series on the Levi-Civita fields is presented. After reviewing two types of convergence on those fields, including convergence criteria for power series, we study some analytical properties of power series. We show that within their domain of convergence, power series are infinitely often differentiable and re-expandable around any point within the radius of convergence from the origin. Then we study a large class of functions that are given locally by power series and...
Analyticité et itères d'un système de champs non elliptique
Applications des faisceaux analytiques semi-cohérents aux fonctions différentiables
Nous appliquons les résultats d’un article précédent au domaine des fonctions différentiables. Nous obtenons en particulier des théorèmes de division et des théorèmes de fonctions composées.