Advances in Difference Equations
Volume 2008 (2008), Article ID 147979, 11 pages
doi:10.1155/2008/147979

A functional equation of Aczél and Chung in generalized functions

Abstract

We consider an n-dimensional version of the functional equations of Aczél and Chung in the spaces of generalized functions such as the Schwartz distributions and Gelfand generalized functions. As a result, we prove that the solutions of the distributional version of the equation coincide with those of classical functional equation.