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Abstract: |
In this paper, we study the Hyers-Ulam stability problem for the following functional equation ![$displaystyle sum_{varphi in Phi }int_{K}f(xkvarphi (y)k^{-1})domega _{K}(k)=vertPhi vert f(x)g(y), x,yin G,$](images/104_04_JIPAM/img2.gif) | ( ) | where is a locally compact group, is a compact subgroup of , is the normalized Haar measure of , is a finite group of -invariant morphisms of and are continuous complex-valued functions such that satisfies the Kannappan type condition, for all Our results generalize and extend the Hyers-Ulam stability obtained for the Wilson's functional equation.;
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