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Almost everywhere convergence of Fejér means of two-dimensional triangular Walsh-Fourier series - MaRDI portal

Almost everywhere convergence of Fejér means of two-dimensional triangular Walsh-Fourier series (Q1783694)

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Almost everywhere convergence of Fejér means of two-dimensional triangular Walsh-Fourier series
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    Almost everywhere convergence of Fejér means of two-dimensional triangular Walsh-Fourier series (English)
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    21 September 2018
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    It is proved that the triangular Fejér means \(\sigma_n^{\triangle}f = \frac{1}{n} \sum_{k=0}^{n-1}S_{k,n-k}f\) of the Walsh-Fourier series of a two-dimensional integrable function \(f\) converge almost everywhere to \(f\).
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    triangular means
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    Fejér means
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    Walsh-Fourier series
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