On Restricting the Cauchy-Pexider Equation to Submanifolds

Details On Restricting the Cauchy-Pexider Equation to Submanifolds On Restricting the Cauchy-Pexider Equation to Submanifolds

2012-03-23

arxiv.org/abs/1203.5370v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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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