• Title of article

    Application of ϵ-entropy theory to Kolmogorov—Arnold representation theorem

  • Author/Authors

    Akashi، نويسنده , , Shigeo، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2001
  • Pages
    8
  • From page
    19
  • To page
    26
  • Abstract
    It is shown that Kolmogorov—Arnold representation theorem, which is the solution to the 13th problem formulated by D. Hilbert and holds in the theory of real-valued continuous functions of several real variables, does not hold in the theory of complex-valued analytic functions of several complex variables.
  • Keywords
    ?-Entropy , Kolmogorov—Arnold representation , superposition representation
  • Journal title
    Reports on Mathematical Physics
  • Serial Year
    2001
  • Journal title
    Reports on Mathematical Physics
  • Record number

    1584706