Topological Structures in Colombeau Algebras: Investigation of the Duals of G_c(Ω) , G(Ω) and G_S(R~(n))

摘要

We study the topological duals of the Colombeau algebras ${cal G}_{{rm c}}(Omega)$ , ${cal G}(Omega)$ and ${cal G}_{{cal S}}({Bbb R}^n)$ , discussing some continuous embeddings and the properties of generalized delta functionals.