Geodesic
Norm Convergence in Ergodic Theory and the Behavior of Fourier Transforms
Canadian journal of mathematics, Tome 46 (1994) no. 1, pp. 184-199

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CJM-1994-006-9
Mots-clés : 28, 43 
Rosenblatt, Joseph. Norm Convergence in Ergodic Theory and the Behavior of Fourier Transforms. Canadian journal of mathematics, Tome 46 (1994) no. 1, pp. 184-199. doi: 10.4153/CJM-1994-006-9
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