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Pointwise characteristic factors for Wiener–Wintner double recurrence theorem
Published online by Cambridge University Press: 11 February 2015
Abstract
In this paper we extend Bourgain’s double recurrence result to the Wiener–Wintner averages. Let $(X,{\mathcal{F}},{\it\mu},T)$ be a standard ergodic system. We will show that for any $f_{1},f_{2}\in L^{\infty }(X)$, the double recurrence Wiener–Wintner average
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- © Cambridge University Press, 2015
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