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Article Dans Une Revue Integral Transforms and Special Functions Année : 2006

Composition and exponential of compactly supported generalized integral operators

Résumé

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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Dates et versions

hal-01530753 , version 1 (31-05-2017)

Identifiants

  • HAL Id : hal-01530753 , version 1

Citer

Séverine Andouze-Bernard, Jean-François Colombeau, Antoine Delcroix. Composition and exponential of compactly supported generalized integral operators. Integral Transforms and Special Functions, 2006, 17 (2-3), pp.93-99. ⟨hal-01530753⟩
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