Several products of distributions on Rm

Abstract

The method of the sequential completion has been used efficiently to define products of distributions. Some results for products of distributions on R1 have been given by J. Mikusinski, B. Fisher and Cheng Lin Zhi et al. The main aim of this paper is to extend the method to the case for several variables. A number of products such as δ(r) ᴑ δ(s), xr + ᴑ δ(s) and x-r ᴑ δ(s), etc., are considered.