Topological structures in Colombeau algebras: investigation of the duals of \Gc(\Om), \G(\Om) and \GS(\Rⁿ)

2004/08/20 by Claudia Garetto, Garetto, Claudia
Mathematics · Medicine · Neuroscience · #13J99 #46F30 #Clinical Reasoning and Diagnostic Skills #Cognitive Science and Education Research #FOS: Mathematics #Functional Analysis (math.FA) #General Topology (math.GN) #Mathematical and Theoretical Analysis #math.FA #math.GN #msc:13J99 #msc:46F30

paper · pdf · doi:10.48550/arxiv.math/0408278

openalex publication_date 2004/08/20 · arxiv created 2005/02/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the topological duals of the Colombeau algebras \Gc(\Om), \G(\Om) and \GS(\Rⁿ), discussing some continuous embeddings and the properties of generalized delta functionals.

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