On the approximate solutions of functional equations in $L^p$ spaces

M. Altman

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Displaying similar documents to “On the approximate solutions of functional equations in $L^{p}$ spaces”

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Dans le travail présent nous considérons des classes linéaires fonctionnelles $ℱ$ dont les fonctions sont définies sur un ensemble de base à l’exception d’un ensemble $A \subset ℰ$ appartenant à une classe $𝔞$ d’ensemble ( $A$ variant avec la fonction). Les notions d’une classe fonctionnelle normée et d’un espace fonctionnel sont introduites ensuite. Notre problème central est de trouver une complétion fonctionnelle $\tilde{ℱ}$ d’une classe fonctionnelle normée $ℱ$ (c’est-à-dire un espace fonctionnel complet $\tilde{ℱ}$ dont...