untitled
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<identifier>oai:HAL:hal-00758044v1</identifier>
<datestamp>2018-01-15</datestamp>
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<setSpec>subject:math</setSpec>
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<publisher>HAL CCSD</publisher>
<title lang=en>Sequence spaces with exponent weights. Realizations of Colombeau type algebras</title>
<creator>Delcroix, Antoine</creator>
<creator>Hasler, Maximilian F.</creator>
<creator>Pilipovic, Stevan</creator>
<creator>Valmorin, Vincent</creator>
<contributor>Analyse Optimisation Controle (AOC) ; Université des Antilles et de la Guyane (UAG)</contributor>
<contributor>Institute of Mathematics ; University of Novi Sad</contributor>
<description>International audience</description>
<source>ISSN: 0012-3862</source>
<source>EISSN: 1730-6310</source>
<source>Dissertationes Mathematicae</source>
<publisher>International Publishing Service/IPS</publisher>
<identifier>hal-00758044</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00758044</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00758044/document</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00758044/file/DHPV-26oct-8nov06.pdf</identifier>
<source>https://hal.univ-antilles.fr/hal-00758044</source>
<source>Dissertationes Mathematicae, International Publishing Service/IPS, 2007, 447, pp.1-73. 〈10.4064/dm447-0-1〉</source>
<identifier>DOI : 10.4064/dm447-0-1</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.4064/dm447-0-1</relation>
<language>en</language>
<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 give a description of various algebras of generalized functions based on the introduction of pseudo-ultranorms on spaces of sequences in given locally convex function algebras. We study sheaf properties of these algebras, needed for microlocal analysis, and also consider regularity theory, functoriality and different concepts of association and weak equality in a unified setting. Using this approach, we also give new results on embeddings of ultradistribution and hyperfunction spaces into corresponding algebras of generalized functions.</description>
<date>2007</date>
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