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<datestamp>2018-01-15</datestamp>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>Generalized functions as sequence spaces with ultranorms</title>
<creator>Hasler, Maximilian F.</creator>
<contributor>Département Scientifique Interfacultaire (DSI) ; Archéologie Industrielle, Histoire, Patrimoine- Géographie, Développement, Environnement de la Caraïbe [EA 929] (AIHP-GEODE) ; Université des Antilles et de la Guyane (UAG) - Université des Antilles et de la Guyane (UAG) - Université des Antilles (Pôle Martinique) ; Université des Antilles (UA) - Université des Antilles (UA)</contributor>
<description>International audience</description>
<source>ISSN: 1065-2469</source>
<source>Integral Transforms and Special Functions</source>
<publisher>Taylor & Francis</publisher>
<identifier>hal-00758570</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00758570</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00758570/document</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00758570/file/0705.2739v1.pdf</identifier>
<source>https://hal.univ-antilles.fr/hal-00758570</source>
<source>Integral Transforms and Special Functions, Taylor & Francis, 2006, 17 (2-3), pp.149-156. 〈10.1080/10652460500437807〉</source>
<identifier>DOI : 10.1080/10652460500437807</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1080/10652460500437807</relation>
<language>en</language>
<subject lang=es>Generalized function</subject>
<subject lang=es>Topological algebra</subject>
<subject lang=es>Sequence space</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 review our recent formulation of Colombeau-type algebras as Hausdorff sequence spaces with ultranorms, defined by sequences of exponential weights. We extend previous results and give new perspectives related to echelon-type spaces, possible generalizations, asymptotic algebras, concepts of association, and applications thereof.</description>
<date>2006</date>
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