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Displaying similar documents to “Fonctions aléatoires d'intervalle, II”

Une remarque sur les fonctions monotones

Alexandre Rajchman (1921)

Fundamenta Mathematicae

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L'objet de cette note est la démonstration du théorème suivant: La somme d'une série convergente des fonctions non décroissantes, telles que la dérivée de chacune d'elles s'annule presque partout, est une fonction non décroissante à dérivée nulle presque partout.