Hyers–Ulam–Rassias Stability of the Generalized Wilson’s Functional Equation

Abstract

In this chapter, we apply the fixed point theorem and the direct method to the proof of Hyers-Ulam-Rassias stability property for generalized Wilson's functional equationwhere f ; g are continuous complex valued functions on a locally compact group G, K is a compact subgroup of morphisms of G, dk is the normalized Haar measure on K and is a K-invariant complex measure with compact support.