Remarks on the embedding of spaces of distributions into spaces of Colombeau generalized functionsReport as inadecuate




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1 AOC - Analyse Optimisation Controle 2 CRREF - Centre de recherches et de ressources en éducation et formation

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 .

Keywords : Embedding. Schwartz Distributions Colombeau generalized functions





Author: Antoine Delcroix -

Source: https://hal.archives-ouvertes.fr/



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