Advertisement

Sur le treizieme probleme de Hilbert, le theoreme de superposition de Kolmogorov et les sommes algebriques d'arcs croissants

  • J. P. Kahane
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 781)

Keywords

13th Problem Nous Allons Fonction Analytique Sont Identiques Nous Renvoyons 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliographie

  1. [1]
    VITUSHKIN, A.G. On representations of functions by means of superpositions and related topics. L'Enseignement Mathématique 23 (1977), 255–320.MathSciNetzbMATHGoogle Scholar
  2. [2]
    PROCEEDINGS of Symposia in Pure Mathematics, vol. 28. Mathematical developments arising from Hilbert problems. Voir en particulier: Hilbert, 13th problem, pp. 20–21 (part 1). G. Lorentz, the 13th problem of Hilbert, pp. 419–430 (part 2).Google Scholar
  3. [3]
    KAHANE, J.-P. Sur les réarrangements de fonctions de la classe A. Studia Math. 31 (1968), pp. 287–293.MathSciNetzbMATHGoogle Scholar
  4. [4]
    KAHANE, J.-P. Séries de Fourier absolument convergentes. Ergebnisse der Mathematik, vol. 50. Springer-Verlag (1970).Google Scholar
  5. [5]
    HEDBERG, T. Sur les réarrangements de fonctions de la classe A et les ensembles d'interpolation pour A(D2). C.R. Acad.Sc. Paris 270 A (1970), 1491–1494.MathSciNetzbMATHGoogle Scholar
  6. [6]
    HEDBERG, T. A result on interpolation sets, in Studies in Fourier Analysis. Inst. Mittag-Leffler, mai 1971, p. 8.Google Scholar
  7. [7]
    HEDBERG, T. Continuous curves whose graphs are Helson sets. Chap. IV in Thin sets in harmonic analysis. Edited by L.A. Lindahl and F. Poulsen, Marcel Dekker 1971.Google Scholar
  8. [8]
    HEDBERG, T. The Kolmogorof superposition theorem. Appendix II in Topics in Approximation Theory, by H.S. Shapiro. Lecture Notes 187, Springer 1971.Google Scholar
  9. [9]
    KAHANE, J.-P. Sur le théorème de superposition de Kolmogorof. J. Approx. Theory 13 (1975), 229–234.MathSciNetCrossRefzbMATHGoogle Scholar
  10. [10]
    DOSS, R. Representations of continuous functions of several variables. Amer.J.Math. 98 (1976), 375–383.MathSciNetCrossRefzbMATHGoogle Scholar
  11. [11]
    ALPAR, L. Sur certaines transformées de séries de puissances absolument convergentes sur la frontière de leur cercle de convergence. Maghar Tud. Akad. Mat. Kutato Int. Közl. 6 (1961), 157–164.MathSciNetGoogle Scholar
  12. [12]
    DOSS, R. On the representation of continuous functions of two variables by means of addition and continuous functions of one variable. Coll. Math. 10 (1963), 249–159.MathSciNetzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1980

Authors and Affiliations

  • J. P. Kahane
    • 1
  1. 1.Equipe de Recherche AssociéeUniversité de Paris-SudOrsay Cedex

Personalised recommendations