most citedTopological structures in Colombeau algebras: topological $\widetilde{\C}$-modules and duality theory

3 citations · 4 across the 5 of their papers we have counts for

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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.FA2004

Topological structures in Colombeau algebras: investigation of the duals of $\Gc(\Om)$, $\G(\Om)$ and $\GS(\R^n)$

Claudia Garetto

We study the topological duals of the Colombeau algebras $\Gc(\Om)$, $\G(\Om)$ and $\GS(\R^n)$, discussing some continuous embeddings and the properties of generalized delta functi…