Composition and exponential of compactly supported generalized integral kernel operators

Details Composition and exponential of compactly supported generalized integral kernel operators Composition and exponential of compactly supported generalized integral kernel operators

2005-05-10

arxiv.org/abs/math/0505179v1

Mathematics

General Mathematics

To appear in the Proceeding of GF2004 in ITSF (8 pages)

Scientific paper

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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