Properties of Wiener-Wintner dynamical systems
نویسندگان
چکیده
منابع مشابه
Wiener-wintner for Hilbert Transform
We prove the following extension of the Wiener–Wintner Theorem and the Carleson Theorem on pointwise convergence of Fourier series: For all measure preserving flows (X,μ, Tt) and f ∈ L(X,μ), there is a set Xf ⊂ X of probability one, so that for all x ∈ Xf we have lim s↓0 ∫ s<|t|<1/s e f(Tt x) dt t exists for all θ. The proof is by way of establishing an appropriate oscillation inequality which ...
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ژورنال
عنوان ژورنال: Bulletin de la Société mathématique de France
سال: 2001
ISSN: 0037-9484,2102-622X
DOI: 10.24033/bsmf.2402