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.
Bernstein’s analyticity theorem for quantum differences
We consider real valued functions defined on a subinterval of the positive real axis and prove that if all of ’s quantum differences are nonnegative then has a power series representation on . Further, if the quantum differences have fixed sign on then is analytic on .
-diffeomorphismen semianalytischer und subanalytischer Mengen
Central Orderings in Fields of Real Meromorphic Function Germs.
Computation of Lojasiewicz Exponent of ...(x, y)
Der Satz von Osgood-Hartogs für reelle Funktionen.
Erzeugendenanzahl von reellen Modulen.
Eventual positivity for analytic functions.
Extending analyticK-subanalytic functions
Letg:U→ℝ (U open in ℝn) be an analytic and K-subanalytic (i. e. definable in ℝanK, whereK, the field of exponents, is any subfield ofℝ) function. Then the set of points, denoted Σ, whereg does not admit an analytic extension is K-subanalytic andg can be extended analytically to a neighbourhood of Ū.
Extending Tamm's theorem
We extend a result of M. Tamm as follows:Let , be definable in the ordered field of real numbers augmented by all real analytic functions on compact boxes and all power functions . Then there exists such that for all , if is in a neighborhood of , then is real analytic in a neighborhood of .
Extension sets for real analytic functions and applications to Radon transforms.
Extremal tests for scalar functions of several real variables at degenerate critical points.
Extremal Tests for Scalar Functions of Several Real variables at Degenerate Critical Points. (Short Communication).
Fonctions de type trace
Soit un morphisme propre fini et surjectif entre deux variétés analytiques complexes. Nous donnons une caractérisation des fonctions (continues) sur qui sont de la forme où est une fonction sur . Pour cela nous introduisons la notion de fonction de type trace sur une variété analytique complexe. Ces fonctions sont analytiques réelles en dehors d’une hypersurface complexe et admettent des singularités très simples aux points de cette hypersurface.