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Sur le groupe des diffeomorphismes R-Analytiques du tore

Part of the Lecture Notes in Mathematics book series (LNM,volume 484)

Keywords

  • Divisor Problem
  • Nous Allons
  • Convergent Iteration
  • Small Divisor Problem
  • Convergent Iteration Method

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References

  1. M.R. Herman, Sur le groupe des difféomorphismes du tore, Ann. Inst. Fourier, t. XXIII, fasc. 2, 1973, p. 75–86.

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  2. M.R. Herman, Sur l’algèbre de Lie des champs de vecteurs ℝ-analytiques du tore, publication du Centre de Maths de l’Ecole Polytechnique.

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  3. J. Moser, A rapidly convergent iteration method, part II, Ann. Scuola Norm. Sup. di Pisa, 20, 1965, p. 499–535

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  4. J. Moser, A new technique for the construction of solutions of non linear differential equations, Proc. Nat. Aca. Sci. Vol 41, 1961, p. 1824–1831.

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  5. H. Russmann, Kleine Nenner II: Bemerkungen zur Newtonschen Methode, Nachr. Akad. Wiss. Göttingen, Math. Phys. K1. 1972.

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  6. S. Sternberg, Celestial mechanics, part II, Benjamin, New-York, 1969

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  7. W. Thurston, Foliations and groups of diffeomorphisms, B.A.M.S., Vol. 80, 1974, p. 304–307

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  8. V.I. Arnold, Small denominators I, translations A.M.S. 2è series, vol 46, p. 213–284.

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  9. E. Zehnder, An implicit function theorem for small divisors problems B.A.M.S., Vol 80, 1974, p. 174–178.

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© 1975 Springer-Verlag

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Herman, M. (1975). Sur le groupe des diffeomorphismes R-Analytiques du tore. In: Joubert, G.P., Moussu, R.P., Roussarie, R.H. (eds) Differential Topology and Geometry. Lecture Notes in Mathematics, vol 484. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082143

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  • DOI: https://doi.org/10.1007/BFb0082143

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