Generalized Integral Operators and Applications

Details Generalized Integral Operators and Applications Generalized Integral Operators and Applications

2005-05-09

arxiv.org/abs/math/0505126v1

Mathematics

General Mathematics

25 pages, Equipe AANL

Scientific paper

10.1017/S0305004106009327

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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