Natural Topologies on Colombeau Algebras

Details Natural Topologies on Colombeau Algebras Natural Topologies on Colombeau Algebras

2008-05-19

arxiv.org/abs/0805.2869v2

Mathematics

Functional Analysis

20 pages

Scientific paper

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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