ON THE COMPOSITION OF THE DISTRIBUTIONS AND

Brian Fisher (England)

Received January 28, 2008

Abstract

Let F be a distribution and let f be a locally summable function. The distribution is defined as the neutrix limit of the sequence where and is a certain sequence of infinitely differentiable functions converging to the Dirac delta-function The distribution is evaluated for and

Keywords and phrases: distribution, delta-function, composition of distributions, neutrix, neutrix limit.