Éditeur(s) : HAL CCSDCambridge University Press (CUP) Résumé : International audience 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. ISSN: 0305-0041
Éditeur(s) : HAL CCSD Résumé : 25 pages, Equipe AANL 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. https://hal.archives-ouvertes.fr/hal-00004888
Éditeur(s) : HAL CCSD Résumé : To appear in the Proceeding of GF2004 in ITSF (8 pages). 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. https://hal.archives-ouvertes.fr/hal-00004897
Éditeur(s) : HAL CCSDTaylor & Francis Résumé : International audience 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. ISSN: 1065-2469
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