A Wiener-Wintner theorem for the Hilbert transform

DOI10.1007/s11512-008-0080-2zbMath1214.42003arXivmath/0601192OpenAlexW1970883504MaRDI QIDQ950720

Erin Terwilleger, Michael T. Lacey

Publication date: 27 October 2008

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601192

zbMATH Keywords

Hilbert transformWiener-Wintner theorem

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Convergence and absolute convergence of Fourier and trigonometric series (42A20)

Related Items (10)

van der Corput inequality for real line and Wiener-Wintner theorem for amenable groups ⋮ Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives ⋮ Non-uniform Kozlov–Treschev averagings in the ergodic theorem ⋮ Central limit theorem for Fourier transforms of stationary processes ⋮ Breaking the duality in the return times theorem ⋮ Variation for the Riesz transform and uniform rectifiability ⋮ On the convergence of the rotated one-sided ergodic Hilbert transform ⋮ Maximal operator for pseudodifferential operators with homogeneous symbols ⋮ Data-driven spectral analysis of the Koopman operator ⋮ Variation for singular integrals on Lipschitz graphs: 𝐿^{𝑝} and endpoint estimates

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