The product of the distributions and

Abstract

In the following a distribution or a generalized function f is denned, as by Gelfand and Shilov(2) or by Temple (3), as a continuous linear functional on the space K of infinitely differentiable test functions ø having compact support. The value of f at a test function ø will be denoted by (f, ø).A sequence of test functions {øn} is said to be a null sequence if(1) the support of each øn is contained in some fixed domain D independent of n,(2) the sequence converges uniformly to zero in D, as n tends to infinity, for all m.