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math.FA2005
On duality theory and pseudodifferential techniques for Colombeau algebras: generalized delta functionals, kernels and wave front sets
Claudia Garetto, Guenther Hoermann
Summarizing basic facts from abstract topological modules over Colombeau generalized complex numbers we discuss duality of Colombeau algebras. In particular, we focus on generalize…
math.FA2000
Microlocal properties of basic operations in Colombeau algebras
Guenther Hoermann, Michael Kunzinger
The Colombeau algebra of generalized functions allows to unrestrictedly carry out products of distributions. We analyze this operation from a microlocal point of view, deriving a g…