Composition and exponential of compactly supported generalized integral kernel operators

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 of a subclass of such operators.
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https://hal.archives-ouvertes.fr/hal-00004897
Contributor : Séverine Bernard <>
Submitted on : Tuesday, May 10, 2005 - 3:01:36 PM
Last modification on : Wednesday, July 18, 2018 - 8:11:26 PM
Long-term archiving on: Thursday, April 1, 2010 - 9:27:02 PM

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Séverine Bernard, Jean-François Colombeau, Antoine Delcroix. Composition and exponential of compactly supported generalized integral kernel operators. 2005. ⟨hal-00004897⟩

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