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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/109/03/0317-0323

    • Keywords

       

      Distribution; delta-function; composition of distributions; neutrix; neutrix limit

    • Abstract

       

      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, ….

    • Author Affiliations

       

      Joel D Nicholas1 Brian Fisher1

      1. Department of Mathematics and Computer Science, University of Leicester, Leicester - LE1 7RH, England
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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