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Convergence of Cesàro means of functions with respect to unbounded Vilenkin systems. (English) Zbl 1062.42016

Summary: 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.

MSC:

42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
43A75 Harmonic analysis on specific compact groups
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