Keywords
- Divisor Problem
- Nous Allons
- Convergent Iteration
- Small Divisor Problem
- Convergent Iteration Method
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.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
M.R. Herman, Sur le groupe des difféomorphismes du tore, Ann. Inst. Fourier, t. XXIII, fasc. 2, 1973, p. 75–86.
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.
J. Moser, A rapidly convergent iteration method, part II, Ann. Scuola Norm. Sup. di Pisa, 20, 1965, p. 499–535
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.
H. Russmann, Kleine Nenner II: Bemerkungen zur Newtonschen Methode, Nachr. Akad. Wiss. Göttingen, Math. Phys. K1. 1972.
S. Sternberg, Celestial mechanics, part II, Benjamin, New-York, 1969
W. Thurston, Foliations and groups of diffeomorphisms, B.A.M.S., Vol. 80, 1974, p. 304–307
V.I. Arnold, Small denominators I, translations A.M.S. 2è series, vol 46, p. 213–284.
E. Zehnder, An implicit function theorem for small divisors problems B.A.M.S., Vol 80, 1974, p. 174–178.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1975 Springer-Verlag
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0082143
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07405-2
Online ISBN: 978-3-540-37919-5
eBook Packages: Springer Book Archive
