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math.FA2014
Locally convex topological algebras of generalized functions: compactness and nuclearity in a nonlinear context
J. Aragona, J. F. Colombeau, S. O. Juriaans
In this paper we introduce Hausdorff locally convex algebra topologies on subalgebras of the whole algebra of nonlinear generalized functions. These topologies are strong duals of…
math.FA2008
Natural Topologies on Colombeau Algebras
J. Aragona, R. Fernandez, S. O. Juriaans
We define natural topologies on the Colombeau algebras which are compatible with the algebraic structure. These topologies reduces do Scarpalezos sharp topologies when restricted.…