International Journal of Mathematics and Mathematical Sciences

Volume 24 (2000), Issue 6, Pages 361-369

doi:10.1155/S0161171200004233

## The product of r − k and ∇ δ on
ℝ m

# C. K. Li

University College of Cape Breton, Mathematics and Computer Science, Nova Scotia, Sydney B1P 6L2, Canada

Received 21 December 1999; Revised 4 January 2000

Copyright © 2000 C. K. Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

#### Abstract

In the theory of distributions, there is a general lack of
definitions for products and powers of distributions. In physics
(Gasiorowicz (1967), page 141), one finds the need to evaluate