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Dans ce travail on étudie les théorèmes ergodiques dans un cadre généralisant le cadre des études de Wiener, Riesz,... Le chapitre I est consacré à l’établissement des théorèmes de dérivation globale pour les intégrales et mesures de Radon. Le chapitre II étudie en particulier les relations entre les modes de convergence dans l’espace des phases et dans l’espace des indices. Le chapitre III traite des applications à la théorie ergodique ; on y étudie non seulement les moyennes ergodiques de fonctions...
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