Results 101 to 110 of about 5,385,866 (129)

Pointwise Convergence of the Fejér Means of Functions on Unbounded Vilenkin Groups [PDF]

Journal of Approximation Theory, 1999
In this paper we prove that for a function f∈Lp(Gm) where ...
G Gat
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On Decomposition of the Dirichlet Kernel on Vilenkin Groups

Sarajevo Journal of Mathematics
We give a useful decomposition of the Dirichlet kernel on Vilenkin groups.
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Riesz multiresolution analysis on Vilenkin groups

Doklady Mathematics, 2014
The Vilenkin group \(G_p\) can be defined as the weak direct product of a countable number of the cyclic groups of order \(p\). For this group, the family of compactly supported orthogonal MRA-based wavelets are provided in [\textit{Y. A. Farkov} and \textit{E. A. Rodionov}, \(p\)-Adic Numbers Ultrametric Anal. Appl. 3, No.
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Sequences of connected spectrum and the Vilenkin group

Publicationes Mathematicae Debrecen, 1995
The author obtains a characterization of the sequences that satisfy a generalization of the interval-filling property concept, introduced by \textit{Z. Daróczy}, \textit{A. Járai}, and \textit{I. Kátai} [Acta Sci. Math. 50, 337-350 (1986; Zbl 0619.10007)]. He also gives an application in harmonic analysis concerning the Vilenkin group.
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Maximal operator of dyadic derivative on Vilenkin Group

International Conference on Information Science and Technology, 2011
In [1], the boundeness of one dimensional maximal operator of dyadic derivative is discussed. Unfortunately, the proof is uncorrect. In this paper, we consider the maximal operator of dyadic derivative on Vilenin group. With the help of counter-example we prove that the maximal operator is not bounded from the Hardy space H q to the Hardy space H q ...
null Xueying Zhang, null Chuanzhou Zhang
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Generalized Derivatives and Integrals on Vilenkin Groups

2015
Let \( {\mathbf{P}} = \{ p_{i} \}_{i = 1}^{\infty } \) be a sequence of natural numbers such that p i ≥ 2. We denote by \( {\mathbb{Z}}(p_{k} ) \) the discrete cyclic group {0, 1, …, p k − 1} of order p k with addition modulo p k .
Boris I. Golubov, Sergei S. Volosivets
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Nonstationary multiresolution analysis for Vilenkin groups

2017 International Conference on Sampling Theory and Applications (SampTA), 2017
It is well known that generalized Walsh functions can be considered as characters of Vilenkin groups (see, e.g., [6], [11]). For wavelets on Vilenkin groups most of the results relate to the locally compact group G p , which is defined by a fixed integer p ≥ 2 (the case p = 2 corresponds to the Cantor group).
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Step Refinable Functions and Orthogonal MRA on Vilenkin Groups

Journal of Fourier Analysis and Applications, 2013
The author approaches the problem of constructing refinable functions and multiresolution analysis (MRA) on the zero-dimensional locally compact Vilenkin groups. He provides necessary and sufficient conditions on a refinable step function under which this function generates an orthogonal MRA in the \(L_2(G)\) spaces on the Vilenkin group G.
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Sets of uniqueness and closed subgroups in Vilenkin groups

Analysis Mathematica, 1990
Мы доказываем, что зам кнутые нулевой меры п одгруппы группы Виленкина (огр аниченной или нет) являются множ ествами единственно сти. Новые идеи, привлеченные дл я наших рассмотрений: примен ение двойственности Понтрягина к вопросам единственн ости, изучение общих групп Виленкина, весьма общ ее упорядочение характ еров.
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An Analogy of the Carleson–Hunt Theorem with Respect to Vilenkin Systems

Journal of Fourier Analysis and Applications, 2022
Ferenc Weisz, Giorgi Tephnadze, Lars-Erik Persson   +2 more
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