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<title lang=en>Embeddings of ultradistributions and periodic hyperfunctions in Colombeau type algebras through sequence spaces</title>
<creator>Delcroix, Antoine</creator>
<creator>Hasler, Maximilian F.</creator>
<creator>Pilipovic, Stevan</creator>
<creator>Valmorin, Vincent</creator>
<contributor>Institut universitaire de formation des maîtres - Guadeloupe (IUFM Guadeloupe) ; Université des Antilles et de la Guyane (UAG)</contributor>
<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>
<contributor>Institute of Mathematics ; University of Novi Sad</contributor>
<contributor>Département de Mathématiques et Informatique (D.M.I.) ; Université des Antilles et de la Guyane (UAG) - Université des Antilles (Pôle Guadeloupe) ; Université des Antilles (UA) - Université des Antilles (UA)</contributor>
<description>International audience</description>
<source>ISSN: 0305-0041</source>
<source>EISSN: 1469-8064</source>
<source>Mathematical Proceedings</source>
<publisher>Cambridge University Press (CUP)</publisher>
<identifier>hal-00758568</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00758568</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00758568/document</identifier>
<identifier>https://hal.univ-antilles.fr/hal-00758568/file/DHPV2-9sep03-singlespaced.pdf</identifier>
<source>https://hal.univ-antilles.fr/hal-00758568</source>
<source>Mathematical Proceedings, Cambridge University Press (CUP), 2004, 137 (3), pp.697-708. 〈10.1017/S0305004104007923〉</source>
<identifier>DOI : 10.1017/S0305004104007923</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1017/S0305004104007923</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>In a recent paper, we gave a topological description of Colombeau type algebras introducing algebras of sequences with exponential weights. Embeddings of Schwartz spaces into the Colombeau algebra G are well known, but for ultradistribution and periodic hyperfunction type spaces we give new constructions. We show that the multiplication of regular enough functions (smooth, ultradifferentiable or quasianalytic), embedded into corresponding algebras, is the ordinary multiplication.</description>
<date>2004-11</date>
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