Remarks on the Embedding of Spaces of Distributions into Spaces of Colombeau Generalized Functions
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چکیده
We present some remarks about the embedding of spaces of Schwartz distributions into spaces of Colombeau generalized functions. Following ideas of M. Nedeljkov et al., we recall how a good choice of compactly supported mollifiers allows to perform globally the embedding of D′ (Ω) into G (Ω). We show that this embedding is equal to the one obtained with local and sheaf arguments by M. Grosser et al., this giving various equivalent techniques to embed D′ (Ω) into G (Ω) . AMS Mathematics Subject Classification (2000): 46E10, 46E25, 46F05, 46F30
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تاریخ انتشار 2005