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<identifier>oai:HAL:hal-01530751v1</identifier>
<datestamp>2017-12-21</datestamp>
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<title lang=en>Remarks on the embedding of spaces of distributions into spaces of Colombeau generalized functions</title>
<creator>Delcroix, Antoine</creator>
<contributor>Analyse Optimisation Controle (AOC) ; Université des Antilles et de la Guyane (UAG)</contributor>
<contributor>Centre de recherches et de ressources en éducation et formation (CRREF) ; Université des Antilles et de la Guyane (UAG)</contributor>
<description>International audience</description>
<source>ISSN: 1450-5444</source>
<source>Novi Sad Journal of Mathematics</source>
<publisher>Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad</publisher>
<identifier>hal-01530751</identifier>
<identifier>https://hal.univ-antilles.fr/hal-01530751</identifier>
<identifier>https://hal.univ-antilles.fr/hal-01530751/document</identifier>
<identifier>https://hal.univ-antilles.fr/hal-01530751/file/NS04_25.PDF</identifier>
<source>https://hal.univ-antilles.fr/hal-01530751</source>
<source>Novi Sad Journal of Mathematics, Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, 2005, 35 (2), pp.27-40. 〈https://www.emis.de/journals/NSJOM/〉</source>
<source>https://www.emis.de/journals/NSJOM/</source>
<language>en</language>
<subject lang=en> Embedding.</subject>
<subject lang=en>Schwartz Distributions</subject>
<subject lang=en> Colombeau generalized functions</subject>
<subject>2000 MSC: 46E10, 46E25, 46F05, 46F30</subject>
<subject>[MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>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 ().</description>
<date>2005</date>
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