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<identifier>oai:HAL:hal-00004888v1</identifier>
<datestamp>2018-01-11</datestamp>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>Generalized Integral Operators and Applications</title>
<creator>Bernard, Séverine</creator>
<creator>Colombeau, Jean-François</creator>
<creator>Delcroix, Antoine</creator>
<contributor>Analyse Optimisation Controle (AOC) ; Université des Antilles et de la Guyane (UAG)</contributor>
<contributor>Institut Fourier (IF) ; Centre National de la Recherche Scientifique (CNRS) - Université Grenoble Alpes (UGA)</contributor>
<description>25 pages, Equipe AANL</description>
<identifier>hal-00004888</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00004888</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00004888/document</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00004888/file/Article5.pdf</identifier>
<source>https://hal.archives-ouvertes.fr/hal-00004888</source>
<source>IF_PREPUB. 25 pages, Equipe AANL. 2005</source>
<identifier>ARXIV : math/0505126</identifier>
<relation>info:eu-repo/semantics/altIdentifier/arxiv/math/0505126</relation>
<language>en</language>
<subject lang=en>integral transforms</subject>
<subject lang=en>generalized functions</subject>
<subject lang=en>Integral operators</subject>
<subject lang=en>kernel</subject>
<subject>45P05, 47G10, 46F30, 46F05, 46F12.</subject>
<subject>[MATH.MATH-GM] Mathematics [math]/General Mathematics [math.GM]</subject>
<type>info:eu-repo/semantics/preprint</type>
<type>Preprints, Working Papers, ...</type>
<description lang=en>We extend the theory of distributional kernel operators to a framework of generalized functions, in which they are replaced by integral kernel operators. Moreover, in contrast to the distributional case, we show that these generalized integral operators can be composed unrestrictedly. This leads to the definition of the exponential, and more generally entire functions, of a subclass of such operators.</description>
<date>2005-05-09</date>
</dc>
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