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

dc.creatorKlopotowski, A.
dc.creatorNadkarni, M. G.
dc.creatorRao, K. P. S. Bhaskara
dc.date2003-12-05
dc.date.accessioned2026-07-07T05:03:36Z
dc.date.available2026-07-07T05:03:36Z
dc.descriptionWe 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.
dc.description10 pages, no figures, no tables
dc.identifierhttps://arxiv.org/abs/math/0312122
dc.identifierhttp://arxiv.org/abs/math/0312122
dc.identifierProc. Indian Acad. Sci. (Math. Sci.), Vol. 113, No. 1, February 2003, pp. 77-86
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69483
dc.subjectFunctional Analysis
dc.subjectGeneral Topology
dc.titleWhen is f(x_1, x_2, . . ., x_n)=u_1(x_1)+u_2(x_2)+ . . . +u_n(x_n)?
dc.typetext

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