Fundamental Solutions of n-Dimensional D_{m}^k Operators Related to the Wave Equation

In this article, we investigate the fundamental solution of the operator , where is a non-negative real number, is the diamond Klein - Gordon operator, is the dimension of the Euclidean space , and is a non-negative integer. First, we study the fundamental solution of the operator . Then, we apply this fundamental solution to solve the equation where is a generalized function and is the unknown function defined on .