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

Abstract : We 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 ().
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Antoine Delcroix. Remarks on the embedding of spaces of distributions into spaces of Colombeau generalized functions. Novi Sad Journal of Mathematics, Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, 2005, 35 (2), pp.27-40. ⟨hal-01530751⟩

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