Generalized Integral Operators and Applications
arXiv:math/0505126 · doi:10.1017/S0305004106009327
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, and more generally entire functions, of a subclass of such operators.
25 pages, Equipe AANL