Invariant measures of smooth dynamical systems, generalized functions and summation methods (Q2817537)

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scientific article; zbMATH DE number 6621173
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Invariant measures of smooth dynamical systems, generalized functions and summation methods
scientific article; zbMATH DE number 6621173

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    Invariant measures of smooth dynamical systems, generalized functions and summation methods (English)
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    1 September 2016
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    invariant measures
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    generalized functions
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    summation methods
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    small denominators
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    Hahn-Banach theorem
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    The author discusses conditions for the existence and the regularity of invariant measures of smooth dynamical systems on compact manifolds. The author also provided examples where the invariant measures have different kinds of regularities. A new proof of the classical Bogolyubov-Krylov theorem is given using Hahn-Banach theorem.
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