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arXiv · 1203.5370

On Restricting Cauchy-Pexider Equations to Submanifolds

Marcos Charalambides
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Abstract

Sufficient geometric conditions are given which determine when the Cauchy-Pexider functional equation f(x)g(y)=h(x+y) restricted to x,y lying on a hypersurface in R^d has only solutions which extend uniquely to exponential affine functions. Some related functional equations are also considered.

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Marcos Charalambides. 2012-10-24. On Restricting Cauchy-Pexider Equations to Submanifolds. https://doi.org/10.1007/s00010-012-0173-7

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