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When is f(x1, x2, . . ., xn)=u1(x1)+u2(x2)+ . . . +un(xn)?

A. Klopotowski, M. G. Nadkarni, K. P. S. Bhaskara Rao

math.FAarXiv:math/0312122

Abstract

We discuss subsets S of Rn such that every real valued function f on S is of the form equation* f(x1,x2,...,xn) = u1(x1) + u2(x2) + ... + un(xn), equation* and the related concepts and situations in analysis.

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