When is $f(x_1, x_2, ldots , x_n) = u_1 (x_1) + u_2(x_2) + cdots + u_n (x_n)$?

Proceedings Mathematical Sciences

K P S Bhaskara Rao³  M G Nadkarni²  A KÅ‚opotowski¹ 

[1] Université Paris XIII, Institut Galilée, 0 Villetaneuse Cedex, France$$;Department of Mathematics, University of Mumbai, Kalina, Mumbai 00 0, India$$;Stat-Math Unit, Indian Statistical Institute, R.V. College Post, Banglore 0 0, India$$

关键词: Good set;    sequentially good set;    linked component;    sequentially good measure;    simplicial measure.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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

【 授权许可】

Unknown