2017
Том 69
№ 12

# On the uniqueness of representation by linear superpositions

Ismailov V. E.

Abstract

Let $Q$ be a set such that every function on $Q$ can be represented by linear superpositions. This representation is, in general, not unique. However, for some sets, it may be unique provided that the initial values of the representing functions are prescribed at some point of $Q$. We study the properties of these sets.

Citation Example: Ismailov V. E. On the uniqueness of representation by linear superpositions // Ukr. Mat. Zh. - 2016. - 68, № 12. - pp. 1620-1628.