Pointwise convergence of the ergodic bilinear Hilbert transform

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dc.creatorDemeter, Ciprian
dc.date2006-01-12
dc.date.accessioned2026-07-07T06:58:50Z
dc.date.available2026-07-07T06:58:50Z
dc.descriptionLet ${\bf X}=(X, Σ, m, τ)$ be a dynamical system. We prove that the bilinear series $\sideset{}{'}\sum_{n=-N}^{N}\frac{f(τ^nx)g(τ^{-n}x)}{n}$ converges almost everywhere for each $f,g\in L^{\infty}(X).$ We also give a proof along the same lines of Bourgain's analog result for averages.
dc.description28 pages, no figures
dc.identifierhttps://arxiv.org/abs/math/0601277
dc.identifierhttp://arxiv.org/abs/math/0601277
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107516
dc.subjectClassical Analysis and ODEs
dc.subjectDynamical Systems
dc.subject42B20; 42B25; 37A05
dc.titlePointwise convergence of the ergodic bilinear Hilbert transform
dc.typetext

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