Generalized Integral Operators and Applications

Abstract : 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.
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https://hal.univ-antilles.fr/hal-01530755
Contributor : Antoine Delcroix <>
Submitted on : Wednesday, May 31, 2017 - 7:21:25 PM
Last modification on : Wednesday, July 18, 2018 - 8:11:28 PM

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Séverine Andouze-Bernard, Jean-François Colombeau, Antoine Delcroix. Generalized Integral Operators and Applications. Mathematical Proceedings, Cambridge University Press (CUP), 2006, 141 (3), pp.521-546. ⟨hal-01530755⟩

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