Year: 2026
Type: article
Abstract: Very often, in Mathematics, we are dealing with objects which are decomposed into simpler objects. In this paper, we introduce the concept of “multiplicative characteristic function” on arbitrary set X and we give a general representation theorem of any function $$f:X\rightarrow [0,1]$$ f : X → [ 0 , 1 ] as a uniform limit of finite products of such type of functions. This result may be fruitfully used in measure theory, distribution theory and so on. Some consequences in uniform approximation of continuous functions are presented here.
Author: Ileana Bucur
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,190
OpenAlex ID: W7130936213