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About Characters and the Dirichlet Kernel on Vilenkin Groups

Sarajevo Journal of Mathematics
In this paper we study properties of characters and the Dirichlet kernel on Vilenkin groups which are of key importance for analyzing convergence, integrability and summability of Fourier-Vilenkin series.   2000 Mathematics Subject Classification.
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On the a. e. convergence of Fourier series on unbounded Vilenkin groups

1999
Summary: It is well known that the \(2^n\)th partial sums of the Walsh-Fourier series of an integrable function converges a.e. to the function. This result has been proved by \textit{W. M. Stout} [``Almost sure convergence'' (1974; Zbl 0321.60022)] using techniques known in the martingale theory.
openaire   +1 more source

Approximation by Marcinkiewicz-Type Matrix Transform of Vilenkin–Fourier Series

Mediterranean Journal of Mathematics, 2022
István Blahota
exaly  

Wavelet Frames on Generalized Vilenkin Groups

Lobachevskii Journal of Mathematics
M. Babushkin, M. Skopina
openaire   +1 more source

A Sharp Boundedness Result Concerning Some Maximal Operators of Vilenkin–Fejér Means

Mediterranean Journal of Mathematics, 2015
Giorgi Tephnadze, L E Persson
exaly  

Massive particle quantum tunneling radiation of Barriola-Vilenkin black hole with global monopole

Wuli Xuebao/Acta Physica Sinica, 2007
Meng Qing-Miao, Jiang Ji-Jian
exaly  

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