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<datestamp>2018-01-11</datestamp>
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<publisher>HAL CCSD</publisher>
<title lang=en>Composition and exponential of compactly supported generalized integral kernel operators</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>To appear in the Proceeding of GF2004 in ITSF (8 pages).</description>
<identifier>hal-00004897</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00004897</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00004897/document</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00004897/file/GF04BernardDelcroixColombeauNov01.pdf</identifier>
<source>https://hal.archives-ouvertes.fr/hal-00004897</source>
<source>IF_PREPUB. To appear in the Proceeding of GF2004 in ITSF (8 pages). 2005</source>
<identifier>ARXIV : math.GM/0505179</identifier>
<relation>info:eu-repo/semantics/altIdentifier/arxiv/math.GM/0505179</relation>
<language>en</language>
<subject lang=en>nonlinear generalized functions</subject>
<subject lang=en>integral transforms</subject>
<subject lang=en>kernel</subject>
<subject lang=en>Integral operators</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 of a subclass of such operators.</description>
<date>2005-05-10</date>
</dc>
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