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On the spectral SLLN and pointwise ergodic theorem in \(L^{\alpha}\)

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Publication:1203654
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DOI10.1214/AOP/1176989527zbMath0766.60035OpenAlexW2032718062MaRDI QIDQ1203654

Christian Houdré

Publication date: 22 February 1993

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

Full work available at URL: https://doi.org/10.1214/aop/1176989527


zbMATH Keywords

strong law of large numberspointwise ergodic theoremharmonic representation


Mathematics Subject Classification ID

Strong limit theorems (60F15) Ergodic theory of linear operators (47A35) Stochastic processes (60G99) (L^p)-limit theorems (60F25)


Related Items (5)

A note on autocovariance estimation in the presence of discrete spectra ⋮ Whittaker-type derivative sampling reconstruction of stochastic \(L^{\alpha }(\Omega )\)-processes ⋮ On Generalized Derivative Sampling Series Expansion ⋮ General maximal inequalities related to the strong law of large numbers ⋮ Spectral criteria, SLLN's and a.s. convergence of series of stationary variables







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