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Intégration des fonctions sous-analytiques et volumes des sous-ensembles sous-analytiques
Let f(x,y) be a positive subanalytic function defined on R n ×R m . We prove that the integral ∫ R m f(x,y)dy is a log-analytic function of x. Let Y x be a subanalytic family of global subanalytic subsets of the euclidean space R m . We deduce from …