Uniformity in the polynomial Wiener–Wintner theorem
نویسندگان
چکیده
منابع مشابه
Uniformity in the Polynomial Wiener-wintner Theorem
exists for every α ∈ R, where e(t) = e. What makes this a nontrivial strengthening of the Birkhoff ergodic theorem is that the set of full measure for which we have convergence does not depend on the choice of α ∈ R. Two different proofs of this theorem are based on the following results which are of interest on their own: (i) For ergodic systems, if f ∈ L(μ) and f ∈ E1(T ) , then for a.e. x ∈ ...
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ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2006
ISSN: 0143-3857,1469-4417
DOI: 10.1017/s0143385706000204