Pointvalue characterizations in multi-parameter algebras

Maximilian F. Hasler (1) , Jean-André Marti (1)

1 CEREGMIA - Centre de Recherche en Economie, Gestion, Modélisation et Informatique Appliquée

We extend classical results from the Colombeau algebra, concerning point-value characterizations of generalized functions, to the more general case of multi-parameter (C,E,P)-algebras. Our investigations include considerations about different definitions of subspaces related to tempered generalized functions.

Mots clés: Algebra of generalized functions; pointvalue characterization; tempered generalized functions

Domaines: Analyse fonctionnelle [math.FA]

Maximilian F. Hasler, Jean-André Marti. Pointvalue characterizations in multi-parameter algebras. 2010. ⟨hal-00761114⟩