On the convolution equation related to the diamond Klein-Gordon operator. (English) Zbl 1243.46033
Summary: We study the distribution for , where is the diamond Klein-Gordon operator iterated times, is the Dirac delta distribution, is a variable in , and is a constant. In particular, we study the application of for solving the solution of some convolution equation. We find that the types of solution of such a convolution equation, such as an ordinary function or a singular distribution, depend on the relationship between and .
|46F12||Integral transforms in distribution spaces|