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Ergodic averages with generalized weights

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Çömez D., Litvinov S.

Studia Mathematica

2006

tom 173

nr 2

103-128

Two types of weighted ergodic averages are studied. It is shown that if F = {Fₙ} is an admissible superadditive process relative to a measure preserving transformation, then a Wiener-Wintner type result holds for F. Using this result new good classes of weights generated by such processes are obtained. We also introduce another class of weights via the group of unitary functions, and study the convergence of the corresponding weighted averages. The limits of such weighted averages are also identified.

Ograniczanie wyników

1 Studia Mathematica

1 Litvinov S.

1 Çömez D.

1 2006

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Ergodic averages with generalized weights