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

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Bibliographie

  1. VITUSHKIN, A.G. On representations of functions by means of superpositions and related topics. L'Enseignement Mathématique 23 (1977), 255–320.

    MathSciNet  MATH  Google Scholar 

  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. KAHANE, J.-P. Sur les réarrangements de fonctions de la classe A. Studia Math. 31 (1968), pp. 287–293.

    MathSciNet  MATH  Google Scholar 

  4. KAHANE, J.-P. Séries de Fourier absolument convergentes. Ergebnisse der Mathematik, vol. 50. Springer-Verlag (1970).

    Google Scholar 

  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.

    MathSciNet  MATH  Google Scholar 

  6. HEDBERG, T. A result on interpolation sets, in Studies in Fourier Analysis. Inst. Mittag-Leffler, mai 1971, p. 8.

    Google Scholar 

  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. 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. KAHANE, J.-P. Sur le théorème de superposition de Kolmogorof. J. Approx. Theory 13 (1975), 229–234.

    Article  MathSciNet  MATH  Google Scholar 

  10. DOSS, R. Representations of continuous functions of several variables. Amer.J.Math. 98 (1976), 375–383.

    Article  MathSciNet  MATH  Google Scholar 

  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.

    MathSciNet  Google Scholar 

  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.

    MathSciNet  MATH  Google Scholar 

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Nicholas Petridis Stylianos K. Pichorides Nicolas Varopoulos

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© 1980 Springer-Verlag

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Kahane, J.P. (1980). Sur le treizieme probleme de Hilbert, le theoreme de superposition de Kolmogorov et les sommes algebriques d'arcs croissants. In: Petridis, N., Pichorides, S.K., Varopoulos, N. (eds) Harmonic Analysis Iraklion 1978. Lecture Notes in Mathematics, vol 781. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097649

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  • DOI: https://doi.org/10.1007/BFb0097649

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  • Print ISBN: 978-3-540-09756-3

  • Online ISBN: 978-3-540-38632-2

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