Algebras of generalized functions with smooth parameter dependence

DOI10.1017/S0013091510001410zbMath1241.46024arXiv1010.5752OpenAlexW3106017416WikidataQ59310089 ScholiaQ59310089MaRDI QIDQ3116821

Michael Kunzinger, Annegret Y. Burtscher

Publication date: 12 February 2012

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.5752

zbMATH Keywords

isomorphismssmooth parametrizationColombeau algebrastopological algebrasalgebraic properties

Mathematics Subject Classification ID

Distributions and generalized functions on nonlinear spaces (46T30) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Ordered rings (13J25) Topological algebras, normed rings and algebras, Banach algebras (46H99)

Related Items (7)

New topologies on Colombeau generalized numbers and the Fermat-Reyes theorem ⋮ Besov regularity in non-linear generalized functions ⋮ Geodesics in nonexpanding impulsive gravitational waves with Λ. II ⋮ Categorical frameworks for generalized functions ⋮ Maximal closed ideals of the Colombeau algebra of generalized functions ⋮ The globally hyperbolic metric splitting for non-smooth wave-type space-times ⋮ Locally convex topological algebras of generalized functions: Compactness and nuclearity in a nonlinear context

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