Natural Topologies on Colombeau Algebras

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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

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Functional Analysis, Analysis of PDEs, 46F30

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http://salesiana.dossiersoluciones.com/handle/123456789/163653

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0805.2869
 http://arxiv.org/abs/0805.2869

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arXiv