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Quelques théorèmes de décomposition des ultradistributions

André Lambert — 1979

Annales de l'institut Fourier

Deux décompositions d’une fonctionnelle $T$ d’un espace d’ultra-distributions sont étudiées. La première fait intervenir une série convergente de dérivées de mesures dont on montre que les supports peuvent être pris inclus dans le support $T$ . La seconde consiste à exprimer $T$ comme somme de fonctionnelles du même espace portées par les éléments d’une partition du support de $T$ . Dans les deux cas on a recours à des concepts de régularité et de séparation régulière d’ensembles fermés de $R^{ν}$ qui relient la...

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