Results 61 to 70 of about 5,385,866 (129)
Almost Everywhere Summability of Vilenkin-Fourier Series
In this PhD dissertation we discuss, develop and apply this fascinating theory connected to modern harmonic analysis. In particular, we make new estimations of Vilenkin-Fourier Dirichlet kernel, Cesaro kernel and prove some new results concerning ...
Adimasu, Anteneh Tilahun
core
By means of G´at’s methods in [2] our aim is to prove the almost everywhere convergence of some sub-sequences of (σnf)n to f, for every integrable function f on unbounded Vilenkin groups.
Memic, Nacima
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Trees in Wavelet analysis on Vilenkin groups
We consider a class of $(1,M)$-elementary step functions on the $p$-adic Vilenkin group. We prove that $(1,M)$-elementary step function generates a MRA on $p$-adic Vilenkin group iff it is generated by a rooted tree on the set of vertices $\{0,1,\dots p-1\}$ with 0 as a root. Bibliography: 14 titles.
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WeightedH p multipliers on locally compact Vilenkin groups
Let G be a locally compact Vilenkin group. We give a maximal function characterization of the power-weighted (atomic) \(H^ p\) spaces over G, and give a Hörmander type multiplier theorem for these spaces. Hörmander type condition for the multiplier is formulated in terms of the dyadic derivative of fractional order.
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Characterization of the pseudo-scaling functions on Vilenkin group
14 pages.
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Herz-type Besov Spaces on Locally Compact Vilenkin Groups
Let G be a locally compact Vilenkin group. In this paper the characterizations of the Herz-type Besov space on G are obtained.
Canqin, Tang, Qingguo, Li, Bolin, Ma
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Relation between Dirichlet kernels with respect to Vilenkin-like systems. [PDF]
In this paper we discuss the relation between Dirrichlet-kernels with respect to Vilenkin an Vilenkin-like systems. This relation gives a useful tool in field of approximation theory on compact totally disconnected Abelian ...
Blahota, István
core
Orthogonal Wavelet Bases on Generalized Vilenkin Groups
10 ...
Babushkin, M., Skopina, M.
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Maximal Operators of Vilenkin–Nörlund Means
In this paper we prove and discuss some new (H p ,weak−L p ) type inequalities of maximal operators of Vilenkin–Nörlund means with monotone coefficients. We also apply these results to prove a.e. convergence of such Vilenkin–Nörlund means.
Tephnadze, George, +2 more
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Degeneracy and Redundancy in Active Inference. [PDF]
Sajid N +4 more
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