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arXiv · 0805.2869

Natural Topologies on Colombeau Algebras

J. Aragona·R. Fernandez·S. O. Juriaans
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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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J. Aragona, R. Fernandez, S. O. Juriaans. 2008-06-27. Natural Topologies on Colombeau Algebras. https://arxiv.org/abs/0805.2869

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