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

Klopotowski, A. ; Nadkarni, M. G. ; Bhaskara Rao, K. P. S. (2003) When is f(x₁, x₂, ..., x_n) =u₁(x₁) +u₂(x₂) + ... +u_n(x_n)? Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 113 (1). pp. 77-86. ISSN 0253-4142

Preview

PDF - Publisher Version
69kB

Official URL: http://www.ias.ac.in/mathsci/vol113/feb2003/Pm1918...

Related URL: http://dx.doi.org/10.1007/BF02829681

Abstract

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

Item Type:	Article
Source:	Copyright of this article belongs to Indian Academy of Sciences.
Keywords:	Good Set; Sequentially Good Set; Linked Component; Sequentially Good Measure; Simplicial Measure
ID Code:	23425
Deposited On:	25 Nov 2010 09:12
Last Modified:	17 May 2016 07:15

Repository Staff Only: item control page

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

Abstract

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