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When isf(x1, x2, ..., xn) =u 1(x1) +u 2(x2) + ... +u n(xn)?

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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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Authors and Affiliations

  1. Institut Galilée, Université Paris XIII, 93430, Villetaneuse Cedex, France

    A. Kłopotowski

  2. Department of Mathematics, University of Mumbai, 400 098, Kalina, Mumbai, India

    M G. Nadkarni

  3. Stat-Math Unit, Indian Statistical Institute, R.V. College Post, 560 059, Banglore, India

    K. P. S. Bhaskara Rao

Authors
  1. A. Kłopotowski
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  2. M G. Nadkarni
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  3. K. P. S. Bhaskara Rao
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Correspondence to A. Kłopotowski.

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Kłopotowski, A., Nadkarni, M.G. & Bhaskara Rao, K.P.S. When isf(x1, x2, ..., xn) =u 1(x1) +u 2(x2) + ... +u n(xn)?. Proc. Indian Acad. Sci. (Math. Sci.) 113, 77–86 (2003). https://doi.org/10.1007/BF02829681

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  • DOI: https://doi.org/10.1007/BF02829681

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