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WAVELETS ON VILENKIN GROUPS [PDF]
, 2017 В статье обсуждается использование графов для построения вейвлетов на группах Ви- ленкина. Работа является логическим продолжением работ с участием автора по на- хождению непереборного алгоритма построения масштабирующей функции, порож- дающей ...
Бердников Глеб Сергеевич
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Optimal Calculation of ODF With the Canonical Normal Distribution on the Rotation Group
Texture, Stress, and Microstructure, Volume 33, Issue 1-4, Page 337-341, 1999., 1999 Macroscopic physical properties of most polycrystalline materials are controlled by orientation distribution of their grains. The orientation distribution function (ODF) of a polycrystal is seldom if ever determined directly from an experiment. Usually experimental data are represented by a set of pole figures (PFs), these latter are some integral ...
T. I. Savyolova +2 more
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Normal Distribution on the Rotation Group So(3)
Texture, Stress, and Microstructure, Volume 29, Issue 3-4, Page 201-233, 1997., 1995 We study the normal distribution on the rotation group SO(3). If we take as the normal distribution on the rotation group the distribution defined by the central limit theorem in Parthasarathy (1964) rather than the distribution with density analogous to the normal distribution in Eucledian space, then its density will be different from the usual (1 ...
Dmitry I. Nikolayev, Tatjana I. Savyolov
wiley +1 more source
, 2020 68-72В статье обсуждается использование графов для построения вейвлетов на группах Ви- ленкина. Работа является логическим продолжением работ с участием автора по на- хождению непереборного алгоритма построения масштабирующей функции, порож- дающей ...
Бердников Глеб Сергеевич
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Fourier multiplier theorem for atomic Hardy spaces on unbounded Vilenkin groups [PDF]
, 2010 We characterize atomic Hardy spaces on unbounded locally compact Vilenkin groups by means of a modified maximal function. The obtained Fourier multiplier theorem is more general than the corresponding results due to Kitada, Onneweer and Quek, Daly and ...
N. Memić +3 more
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Vilenkin-Fourier series in variable Lebesgue spaces
, 2023 Adamadze D, Kopaliani T. Vilenkin-Fourier series in variable Lebesgue spaces. Mathematical Inequalities & Applications . 2023;26(4):977-993.Let $S_{n}f$ be the $n$th partial sum of the Vilenkin-Fourier series of $f\in L^{1}(G).$ For ...
Adamadze, Daviti ; https://orcid.org/ +1 more
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Fourier series on Vilenkin groups
, 1988 The focus of this investigation is pointwise convergence of Fourier series of functions defined on a compact Vilenkin group, i.e., a compact metrizable totally disconnected abelian group.
Dezern, David Herman
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Compact sets of divergence for continuous functions on a Vilenkin group [PDF]
Proceedings of the American Mathematical Society, 1986 Let G G be a Vilenkin group. Let
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On approximation by tight wavelet frames on Vilenkin groups
, 2023 We consider the approximate properties of tight wavelet frames on Vilenkin group $G$. Let $\{G_n\}_{n\in \mathbb{Z} }$ be a main chain of subgroups, $X$ be a set of characters. We define a step function $λ(χ)$ that is constant on cosets ${G}_n^\bot\setminus{G}_{n-1}^\bot$ by equalities $λ({G}_n^\bot\setminus{G}_{n-1}^\bot)=λ_n>0$ for which $\sum ...
Lukomskii, Sergey +2 more
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Translation invariant operators on Hardy spaces over Vilenkin groups
, 2004 We show that a number of well known multiplier theorems for Hardy spaces over Vilenkin groups follow immediately from a general condition on the kernel of the multiplier operator.
Daly, JE, Fridli, Sándor
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