Natural Topologies on Colombeau Algebras

2008/05/19 by J. Aragona, Aragona, J., R. Fernandez +3
Arts and Humanities · Mathematics · Medicine · #46F30 #Analysis of PDEs (math.AP) #Clinical Reasoning and Diagnostic Skills #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical and Theoretical Analysis #Philosophy and History of Science #math.AP #math.FA #msc:46F30

paper · pdf · doi:10.48550/arxiv.0805.2869

20 pages

openalex publication_date 2008/05/19 · arxiv created 2008/06/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define natural topologies on the Colombeau algebras which are compatible with the algebraic structure. These topologies reduces do Scarpalezos sharp topologies when restricted. with this we take a positive step towards topological methods of solving P.D. Equations in Colombeau algebras. Applications will appear elsewhere.

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