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Soit un préfaisceau complet de fonctions “harmoniques” définies sur . Un critère de régularité pour les points des frontières idéales de est donné. Pour chaque sous-treillis banachique de , il existe une frontière idéale qui compactifie et qui contient une “frontière harmonique” qui est l’ensemble des points réguliers ; est isométriquement isomorphe à Parmi des applications se trouvent les théories frontières de Wiener et Royden et aussi les classes comparables harmoniques.
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