above embedding, then this computes exactly the traditional Lebesgue-integral. Furthermore: If is a distribution with compact support, is a real analytic function, and then Thus this notion of integration gives a precise meaning to formal expressions like which are undefined in the usual sense. Moreover: Because the real analytic functions are dense in is a subspace of . This is an alternative description of the same embedding . If is a real analytic map between open sets of , then composition with is a well-defined operator from to : See also Algebraic analysis Generalized function Distribution (mathematics) Microlocal analysis Pseudo-differential operator Sheaf cohomology References . . . . - It is called SKK. . . . . . . . External links Algebraic analysis Complex analysis Generalized functions Sheaf theory