Generalized functions as sequence spaces with ultranorms

Details Generalized functions as sequence spaces with ultranorms Generalized functions as sequence spaces with ultranorms

2007-05-18

arxiv.org/abs/0705.2739v1

Integral Transforms and Special Functions 17/2 (2006) 149-156

Mathematics

Functional Analysis

Scientific paper

10.1080/10652460500437807

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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