Abstract: One of the most celebrated problems in dyadic harmonic analysis is the pointwise convergence of the Fejér (or (C,1)) means of functions on unbounded Vilenkin groups. The aim of this paper is to give a resume of the recent developments concerning this matter.
Keywords: Unbounded Vilenkin groups, Vilenkin series, (C,1) means, a.e. convergence, two-variable functions.
Classification (MSC2000): 42C10
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