The sharp topology on the full Colombeau algebra of generalized functions

DOI10.1080/10652460500437864zbMath1097.46026OpenAlexW2105586608MaRDI QIDQ5291805

Roseli Fernandez, Jorge Aragona, Stanley Orlando Juriaans

Publication date: 22 May 2006

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460500437864

zbMATH Keywords

Colombeau algebrageneralized functionssharp topologies

Mathematics Subject Classification ID

Distributions and generalized functions on nonlinear spaces (46T30) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (6)

Off-diagonal condition ⋮ New topologies on Colombeau generalized numbers and the Fermat-Reyes theorem ⋮ Differential calculus and integration of generalized functions over membranes ⋮ Algebraic theory of Colombeau's generalized numbers ⋮ The ring of Colombeau’s full generalized quaternions ⋮ Locally convex topological algebras of generalized functions: Compactness and nuclearity in a nonlinear context

Cites Work

• Intrinsic definition of the Colombeau algebra of generalized functions
• SOME STRUCTURAL PROPERTIES OF THE TOPOLOGICAL RING OF COLOMBEAU'S GENERALIZED NUMBERS
• Unnamed Item

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