%0 Journal Article
%T Isomorphisms of algebras of Colombeau generalized functions
%A Hans Vernaeve
%J Mathematics
%D 2006
%I arXiv
%X We show that for smooth manifolds X and Y, any isomorphism between the special algebra of Colombeau generalized functions on X, resp. Y is given by composition with a unique Colombeau generalized function from Y to X. We also identify the multiplicative linear functionals from the special algebra of Colombeau generalized functions on X to the ring of Colombeau generalized numbers. Up to multiplication with an idempotent generalized number, they are given by an evaluation map at a compactly supported generalized point on X.
%U http://arxiv.org/abs/math/0612646v1