Monatshefte für Mathematik

, Volume 173, Issue 3, pp 433–439 | Cite as

Topological properties of regular generalized function algebras

  • H. Vernaeve


We investigate the topological density of various subalgebras of regular generalized functions in the Colombeau algebra \(\mathcal{G }(\varOmega )\) of generalized functions with its natural (so-called sharp) topology.


Generalized functions Algebras of generalized functions Regularity Topological density 

Mathematics Subject Classification (2000)




We are grateful to D. Scarpalézos for very useful discussions.


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Copyright information

© Springer-Verlag Wien 2013

Authors and Affiliations

  1. 1.Department of MathematicsGhent UniversityGhentBelgium

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