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Norm Convergence in Ergodic Theory and the Behavior of Fourier Transforms
Published online by Cambridge University Press: 20 November 2018
Abstract
The Lp-norm convergence of weighted averages μnf is ergodic theory is equivalent to the pointwise convergence of the Fourier transforms . If h(γ) = , then the behavior of h determines when the Lp-norm limit of μnf is ∫f dm. The nature of such limit functions h is the focus of this article.
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- Copyright © Canadian Mathematical Society 1994