On the existence of the ergodic Hilbert transform

DOI10.1214/AOP/1176992176zbMath0634.47008OpenAlexW2070074982MaRDI QIDQ1096865

Ryszard Jajte

Publication date: 1987

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176992176

zbMATH Keywords

spectral representationergodic average in the sense of almost sure convergence for a unitary operator in \(L_ 2\)existence of ergodic Hilbert transform

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Laplace transform (44A10)

Related Items (5)

Almost everywhere convergence of multiple operator averages for affine semigroups ⋮ On the almost everywhere convergence of ergodic averages for power- bounded operators on \(L^ p\) subspaces ⋮ Spectral criteria, SLLN's and a.s. convergence of series of stationary variables ⋮ The Wiener—Wintner property for the helical transform of the shift on [0, 1^ℤ] ⋮ On the Almost Everywhere Existence of the Ergodic Hilbert Transform

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