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Topological Methods in Nonlinear Analysis
Article
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arXiv.org e-Print Archive
Preprint . 2008
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Topological Methods in Nonlinear Analysis
Article . 2009 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2008
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Natural topologies on Colombeau algebras

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Sep 2009Embargo end date: 01 Jan 2008Publisher:Uniwersytet Mikolaja Kopernika/Nicolaus Copernicus UniversityJournal:Topological Methods in Nonlinear Analysis, volume 36, page 161 (issn: 1230-3429, Copyright policy )
Authors: Aragona, Jorge; Fernandez, Roseli; Juriaans, Stanley O.;

doi: 10.12775/tmna.2009.035 , 10.48550/arxiv.0805.2869

arXiv: 0805.2869

Natural topologies on Colombeau algebras

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.

20 pages

Keywords

Mathematics - Functional Analysis, Mathematics - Analysis of PDEs, FOS: Mathematics, 46F30, Functional Analysis (math.FA), Analysis of PDEs (math.AP)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
11
Average
Top 10%
Average
Green
bronze