We present some remarks about the embedding of spaces of Schwartz
distributions into spaces of Colombeau generalized functions. We show that the
various constructions of such embeddings existing in the literature lead in
fact to the same one.Comment: 13 page

Delcroix, A.

English

arXiv

International audienceWe present some remarks about the embedding of spaces of Schwartz distributions into spaces of Colombeau generalized functions. Following ideas of M. Nedeljkov et alii, we recall how a good choice of compactly supported mollifiers allows to perform globally the embedding of D' () into G (). We show that this embedding is equal to the one obtained with local and sheaf arguments by M. Grosser et alii, this giving various equivalent technics to embed D'() into G ()

Remarks on the embedding of spaces of distributions into spaces of Colombeau generalized functions

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