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math.FA2010★ 12 cited
Algebras of generalized functions with smooth parameter dependence
Annegret Burtscher, Michael Kunzinger
We show that spaces of Colombeau generalized functions with smooth parameter dependence are isomorphic to those with continuous parametrization. Based on this result we initiate a…
math.FA2010★ 2 cited
An algebraic approach to manifold-valued generalized functions
Annegret Burtscher
We discuss the nature of structure-preserving maps of varies function algebras. In particular, we identify isomorphisms between special Colombeau algebras on manifolds with inverti…