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Recurrence of the integral of a smooth three-frequency conditionally periodic function

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Abstract

We prove V. V. Kozlov's famous conjecture claiming that the integral of an analytic three-frequency conditionally periodic function with zero mean and incommensurable frequencies recurs. For a conditionally periodic function of classC 2 onT n,n=2, 3, we prove that the integral recurs uniformly with respect to the initial data.

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Authors and Affiliations

  1. Moscow State University, USSR

    N. G. Moshchevitin

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  1. N. G. Moshchevitin
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Translated fromMatematicheskie Zametki, Vol. 58, No. 5, pp. 723–735, November, 1995.

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Moshchevitin, N.G. Recurrence of the integral of a smooth three-frequency conditionally periodic function. Math Notes 58, 1187–1196 (1995). https://doi.org/10.1007/BF02305003

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  • DOI: https://doi.org/10.1007/BF02305003

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