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Jean-François Colombeau

Publications and source records attributed to Jean-François Colombeau.

2 recordsLinked to original sources
arXiv2005

Composition and exponential of compactly supported generalized integral kernel operators

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.

math.GM↗
arXiv2005

Generalized Integral Operators and Applications

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.

math.GM↗