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Ukrainian Mathematical Journal

, Volume 68, Issue 12, pp 1874–1883 | Cite as

On the Uniqueness of Representation by Linear Superpositions

  • V. E. Ismailov
Article
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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.

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Copyright information

© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  • V. E. Ismailov
    • 1
  1. 1.Institute of Mathematics and MechanicsAzerbaijan National Academy of SciencesBakuAzerbaijan

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