On the uniqueness of representation by linear superpositions

  • V. E. Ismailov

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.
Published
25.12.2016
How to Cite
IsmailovV. E. “On the Uniqueness of Representation by Linear Superpositions”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, no. 12, Dec. 2016, pp. 1620-8, http://umj.imath.kiev.ua/index.php/umj/article/view/1948.
Section
Research articles