Generalized functions as sequence spaces with ultranorms

Abstract

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.

References in corpus (1)

• Embeddings of ultradistributions and periodic hyperfunctions in Colombeau type algebras through sequence spaces