A sharp criterion on window sequences determines almost everywhere convergence of de la Vallée Poussin means of Walsh-Fourier series, with everywhere divergence shown in Orlicz classes below the logarithmic square-root scale when the criterion fails.
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de la Vall\'ee Poussin Means of Walsh-Fourier Expansions
A sharp criterion on window sequences determines almost everywhere convergence of de la Vallée Poussin means of Walsh-Fourier series, with everywhere divergence shown in Orlicz classes below the logarithmic square-root scale when the criterion fails.