Search results for "Algèbres quasianalytiques"

showing 2 items of 2 documents

From resurgent functions to real resummation through combinatorial Hopf algebras

2014

Pas de résumé en anglais.

Calcul moulienAlgèbres quasianalytiquesDifféomorphismes tangents à l’identitéAlgèbres de Hopf combinatoiresCombinatorial Hopf algebrasStructures o-minimales[MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM]Géométrie analytique réelleMoyennes uniformisantesAutomorphismeResurgent functionsReal resummationFonctions résurgentesResommation réelleChamps de vecteurs(co-)arborification
researchProduct

Quantifier elimination in the quasi-analytic framework

2012

We associate to every compact polydisk B [belonging to ] Rn an algebra CB of real functions defined in a neighborhood of B. The collection of these algebras is supposed to be closed under several operations, such as composition and partial derivatives. Moreover, if the center of B is the origin, we assume that the algebra of germs at the origin of elements of CB is quasianalytic (it does not contain any flat germ). We define with these functions the collection of C-semianalytic and C-subanalytic sets according to the classical process in real analytic geometry. Our main result is an analogue of Tarski-Seidenberg's usual result for these sets. It says that the sub-C-subanalytic sets may be d…

[MATH.MATH-GM]Mathematics [math]/General Mathematics [math.GM]Tarsk-Seidenberg theoremThéorème de Tarski-SeidenbergAlgèbres quasianalytiques[ MATH.MATH-GM ] Mathematics [math]/General Mathematics [math.GM]Real analytic geometryQuasianalytic algebrasThéorème de préparationStructures o-minimales[MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM]O-minimal structuresPreparation theoremGéométrie analytique réelle
researchProduct