LetF be a distribution and letf be a locally summable function. The distributionF(f) is defined as the neutrix limit of the sequenceFn(f), whereFn(x) = F(x) * δn(x) andδn(x) is a certain sequence of infinitely differentiable functions converging to the Dirac delta-functionδ(x). The distribution (xr)−s is valuated forr, s = 1,2, ….
Distribution delta-function composition of distributions neutrix neutrix limit
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