Topological properties of regular generalized function algebras
Hans Vernaeve
TL;DR
This paper explores the topological structure of regular generalized function algebras, focusing on the density of subalgebras within the Colombeau algebra framework.
Contribution
It provides new insights into the density properties of subalgebras in the Colombeau algebra of generalized functions.
Findings
Certain subalgebras are dense in the Colombeau algebra
Topological properties of regular generalized function algebras are characterized
Results enhance understanding of algebraic and topological structure
Abstract
We investigate density of various subalgebras of regular generalized functions in the special Colombeau algebra of generalized functions.
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