E. H. el Abdalaoui

activity

20102026

most citedOn spectral disjointness of powers for rank-one transformations and Möbius orthogonality

60 citations · 97 across the 30 of their papers we have counts for

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Showing 2023 · math.DSShow all

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math.DS2023

Mean ergodic theorems in $L^{r} (μ)$ and $H^{r} (T)$ , $0 < r < 1$

el Houcein el Abdalaoui, Michael Lin

Let $T$ be the Koopman operator of a measure preserving transformation $θ$ of a probability space $(X, Σ, μ)$ . We study the convergence properties of the averages $M_nf:=\frac1n\sum_…

Mean ergodic theorems in Lr(μ) and Hr(T), 0<r<1

Mean ergodic theorems in $L^{r} (μ)$ and $H^{r} (T)$ , $0 < r < 1$