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

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

2004-08-20

arxiv.org/abs/math/0408278v2

Mathematics

Functional Analysis

Scientific paper

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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