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

Claudia Garetto

arxiv: math/0408278 · v2 · submitted 2004-08-20 · 🧮 math.FA · math.GN

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

Claudia Garetto This is my paper

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keywords algebrascolombeaudualstopologicalcontinuousdeltadiscussingembeddings

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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 functionals.

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

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