Advances in Difference Equations (Jan 2008)
A Functional Equation of Aczél and Chung in Generalized Functions
Abstract
We consider an -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.