On analytic maps of the circle onto itself

doi:10.1007/978-3-642-01742-1_9

Part of the book series: Vladimir I. Arnold - Collected Works ((ARNOLD,volume 1))

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Abstract

After the appearance of the papers by Siegel [1], [2] and Kolmogorov [3], [4] problems with small denominators lost their unapproachability.

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References

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Editors and Affiliations

Department of Mathematics, University of California, 94720-3840, Berkeley, CA, USA
Alexander B. Givental
Department of Mathematics, University of Toronto, M5S 3G3, Toronto, ON, Canada
Boris A. Khesin
Control & Dynamical Systems and Applied & Computational Mathematics, California Institute of Technology, 91125-8100, Pasadena, CA, USA
Jerrold E. Marsden
Department of Mathematics, University of North Carolina, 27599-3250, Chapel Hill, NC, USA
Alexander N. Varchenko
Steklov Mathematical Institute, Russian Academy of Sciences, ul. Gubkina 8, 119991, Moscow, Russian Federation
Oleg Ya. Viro
Institute of Mathematical Sciences, Stony Brook University, 11794-3660, Stony Brook, NY, USA
Vladimir M. Zakalyukin

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(2009). On analytic maps of the circle onto itself. In: Givental, A., et al. Collected Works. Vladimir I. Arnold - Collected Works, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01742-1_9

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DOI: https://doi.org/10.1007/978-3-642-01742-1_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-01741-4
Online ISBN: 978-3-642-01742-1
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