When isf(x1, x2, ..., xn) =u1(x1) +u2(x2) + ... +un(xn)? |
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| Authors: | A. K&# opotowski, M G. Nadkarni K. P. S. Bhaskara Rao |
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| Affiliation: | (1) Institut Galilée, Université Paris XIII, 93430 Villetaneuse Cedex, France;(2) Department of Mathematics, University of Mumbai, 400 098 Kalina, Mumbai, India;(3) Stat-Math Unit, Indian Statistical Institute, R.V. College Post, 560 059 Banglore, India |
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| Abstract: | We discuss subsetsS of ℝn such that every real valued functionf onS is of the formf(x1, x2, ..., xn) =u 1(x1) +u 2(x2) +...+u n(xn), and the related concepts and situations in analysis. |
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| Keywords: | Good set sequentially good set linked component sequentially good measure simplicial measure |
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