Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Lukomskii, S. F."'
Autor:
Lukomskii, S. F., Vodolazov, A. M.
We discuss the problem on approximation by tight step wavelet frames on the field $\mathbb{Q}_p$ of $p$-adic numbers. Let $G_n=\{x=\sum_{k=n}^\infty x_k p^k\}$, $X$ be a set of characters. We define a step function $\lambda({\chi})$ that is constant
Externí odkaz:
http://arxiv.org/abs/2307.06588
Autor:
Berdnikov, G. S., Lukomskii, S. F.
We propose a method to construct Riesz MRA on local fields of positive characteristic and corresponding scaling step functions that generate it.
Comment: 22 pages, 5 figures
Comment: 22 pages, 5 figures
Externí odkaz:
http://arxiv.org/abs/1703.07536
We construct a family of spline affine Riesz bases, i.e. sequences of dilations and translations generated by the special spline functions $\psi_m$, and we prove that their Riesz bounds are independent of $m$. We put $\psi_0=\chi$ as the Haar step fu
Externí odkaz:
http://arxiv.org/abs/1703.06445
Autor:
Berdnikov, G. S., Lukomskii, S. F.
We consider a class of $(N,M)$-elementary step functions on the $p$-adic Vilenkin group. We prove that $(N,M)$-elementary step function generates a MRA on $p$-adic Vilenkin group iff it is generated by a special $N$-valid rooted tree on the set of ve
Externí odkaz:
http://arxiv.org/abs/1412.3096
Autor:
Lukomskii, S. F.
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,\dot
Externí odkaz:
http://arxiv.org/abs/1303.5635
Autor:
Lukomskii, S. F.
We find the necessary and sufficient conditions for refinable step function under which this function generates an orthogonal MRA in the $L_2(\mathfrak G)$ -spaces on Vilenkin groups $\mathfrak G$. We consider a class of refinable step functions for
Externí odkaz:
http://arxiv.org/abs/1211.2633
Akademický článek
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Autor:
Lukomskii, S. F., Vodolazov, A. M.
Publikováno v:
P-Adic Numbers, Ultrametric Analysis & Applications; Mar2024, Vol. 16 Issue 1, p60-69, 10p
Autor:
Lukomskii, S. F.1 (AUTHOR) LukomskiiSF@info.sgu.ru
Publikováno v:
Mathematical Notes. Mar2021, Vol. 109 Issue 3/4, p427-434. 8p.
Publikováno v:
Mathematical Notes. May2018, Vol. 103 Issue 5/6, p919-928. 10p.