Almost everywhere convergence of Riesz means of one-dimensional Fourier series on the group of 2-adic integers
Novi Sad Journal of Mathematics, Tome 52 (2022) no. 2.

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In this paper, we prove the almost everywhere convergence of Riesz means of integrable functions on the group of 2-adic integers, $\sigma_n^{\alpha, \gamma} f \to f$, where $0 \gamma\leq 1 \leq \alpha$.
Publié le :
DOI : 10.30755/NSJOM.12069
Classification : 42C10
Keywords: Riesz means, 2-adic integers, almost everywhere convergence
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     author = {Gy\"orgy G\'at and G\'abor Lucskai},
     title = {Almost everywhere convergence of {Riesz} means of one-dimensional {Fourier} series on the group of 2-adic integers},
     journal = {Novi Sad Journal of Mathematics},
     pages = {151 - 164},
     publisher = {mathdoc},
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     year = {2022},
     doi = {10.30755/NSJOM.12069},
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György Gát; Gábor Lucskai. Almost everywhere convergence of Riesz means of one-dimensional Fourier series on the group of 2-adic integers. Novi Sad Journal of Mathematics, Tome 52 (2022) no. 2. doi : 10.30755/NSJOM.12069. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.12069/

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