Natural Topologies on Colombeau Algebras
Functional Analysis
2008-06-27 v2 Analysis of PDEs
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.
Cite
@article{arxiv.0805.2869,
title = {Natural Topologies on Colombeau Algebras},
author = {J. Aragona and R. Fernandez and S. O. Juriaans},
journal= {arXiv preprint arXiv:0805.2869},
year = {2008}
}
Comments
20 pages