Generalized functions as sequence spaces with ultranorms
Résumé
We review our recent formulation of Colombeau-type algebras as Hausdorff sequence spaces with ultranorms, defined by sequences of exponential weights. We extend previous results and give new perspectives related to echelon-type spaces, possible generalizations, asymptotic algebras, concepts of association, and applications thereof.
Domaines
Analyse fonctionnelle [math.FA]| Origine | Fichiers produits par l'(les) auteur(s) |
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