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 generalizations, asymptotic algebras, concepts of association, and applications thereof.
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https://hal.univ-antilles.fr/hal-00758570
Contributor : Maximilian Hasler <>
Submitted on : Wednesday, November 28, 2012 - 9:34:49 PM
Last modification on : Thursday, February 7, 2019 - 4:21:28 PM
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Maximilian F. Hasler. Generalized functions as sequence spaces with ultranorms. Integral Transforms and Special Functions, Taylor & Francis, 2006, 17 (2-3), pp.149-156. ⟨10.1080/10652460500437807⟩. ⟨hal-00758570⟩

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