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<responseDate>2018-01-17T12:09:01Z</responseDate>
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<identifier>oai:HAL:hal-01530753v1</identifier>
<datestamp>2018-01-11</datestamp>
<setSpec>type:ART</setSpec>
<setSpec>subject:math</setSpec>
<setSpec>collection:UNIV-AG</setSpec>
<setSpec>collection:CNRS</setSpec>
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<metadata><dc>
<publisher>HAL CCSD</publisher>
<title lang=en>Composition and exponential of compactly supported generalized integral operators</title>
<creator>Andouze-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>
<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: 1065-2469</source>
<source>Integral Transforms and Special Functions</source>
<publisher>Taylor & Francis</publisher>
<identifier>hal-01530753</identifier>
<identifier>https://hal.univ-antilles.fr/hal-01530753</identifier>
<source>https://hal.univ-antilles.fr/hal-01530753</source>
<source>Integral Transforms and Special Functions, Taylor & Francis, 2006, 17 (2-3), pp.93-99. 〈http://www.tandfonline.com/loi/gitr20〉</source>
<source>http://www.tandfonline.com/loi/gitr20</source>
<language>en</language>
<subject lang=en>Integral operators</subject>
<subject lang=en> Nonlinear generalized functions</subject>
<subject lang=en> Integral transforms</subject>
<subject lang=en> Kernel operators</subject>
<subject>45P05; 46F05; 46F12; 46F30; 47G10</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 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>2006</date>
</dc>
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