Generalized functions as sequence spaces with ultranorms
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🧮 math.FA
keywords
spacesalgebrassequencetypeultranormsapplicationsassociationasymptotic
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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 generalisations, asymptotic algebras, concepts of association, and applications thereof.
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