When is f(x_1, x_2, . . ., x_n)=u_1(x_1)+u_2(x_2)+ . . . +u_n(x_n)?

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

arxiv: math/0312122 · v1 · submitted 2003-12-05 · 🧮 math.FA · math.GN

When is f(x₁, x₂, . . ., x_n)=u₁(x₁)+u₂(x₂)+ . . . +u_n(x_n)?

A. Klopotowski , M. G. Nadkarni , K. P. S. Bhaskara Rao This is my paper

classification 🧮 math.FA math.GN

keywords equationanalysisconceptsdiscusseveryformfunctionmathbb

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We discuss subsets $S$ of ${\mathbb{R}}^n$ such that every real valued function $f$ on $S$ is of the form {equation*} f(x_1,x_2,...,x_n) = u_1(x_1) + u_2(x_2) + ... + u_n(x_n), {equation*} and the related concepts and situations in analysis.

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When is f(x₁, x₂, . . ., x_n)=u₁(x₁)+u₂(x₂)+ . . . +u_n(x_n)?

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