Results 11 to 20 of about 5,385,866 (129)

Uncertainty product for Vilenkin groups [PDF]

International Journal of Wavelets, Multiresolution and Information Processing, 2018
We study a localization of functions defined on Vilenkin groups. To measure the localization, we introduce two uncertainty products [Formula: see text] and [Formula: see text] that are similar to the Heisenberg uncertainty product. [Formula: see text] and [Formula: see text] differ from each other by the metric used for the Vilenkin group [Formula ...
Ivan Kovalyov, Elena A. Lebedeva
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Summation Methods and Uniqueness in Vilenkin Groups [PDF]

Proceedings of the American Mathematical Society, 1988
It is shown that the σ \sigma -compact
D. J. Grubb
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An Integrability Theorem on Unbounded Vilenkin Groups

Journal of Mathematical Analysis and Applications, 1993
Let \(G\) be a locally compact Vilenkin group, that is, \(G\) is an infinite compact metrizable zero-dimensional abelian group and let \(\Gamma=(\chi_ n)_ 0^ \infty\) denote the character group of \(G\). Let \((m_ n)_ 0^ \infty\) be the usual sequence of integers determined by the structure of \(G\) and let \(p_ n=m_{m+1}/m_ n\).
Avdispahic, M., Pepic, M.
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Multiresolution analysis and wavelets on Vilenkin groups

Facta universitatis - series: Electronics and Energetics, 2008
This paper gives a review of multiresolution analysis and compactly sup- ported orthogonal wavelets on Vilenkin groups. The Strang-Fix condition, the partition of unity property, the linear independence, the stability, and the orthonormality of 'integer shifts' of the corresponding refinable functions are considered. Necessary and sufficient conditions
Yury Farkov
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Generalized Lipschitz Spaces on Vilenkin Groups

Mathematische Nachrichten, 1987
This paper proves some results on generalized Lipschitz spaces on Vilenkin groups. In particular it is proved that the Fourier series of functions in a generalized Lipschitz space \(\Lambda\) (1/p,p,1) for \(1\leq p\leq \infty\) on a bounded Vilenkin group converges uniformly.
Bloom, W.R., Fournier, J.J.F.
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Smoothness conditions and integrability theorems on bounded Vilenkin groups [PDF]

Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1988
AbstractVarious criteria, in terms of forward differences and related operations on coefficients, are shown to imply that certain series on bounded Vilenkin groups represent integrable functions. These results include analogues of known integrability theorems for trigonometric series.
Bloom, W.R., Fournier, J.J.F.
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Nondoubling measure on Vilenkin group

, 2008
Summary: In this paper the authors introduce nondoubling measure on Vilenkin groups. The differentiation theorem is also obtained on this measure space.
Li, Qingguo, Tang, Canqin
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AN EXPLICIT FORMULA FOR LEBESGUE CONSTANTS ON VILENKIN GROUPS

Sarajevo Journal of Mathematics
We derive an explicit formula for Lebesgue constants on Vilenkin groups.
Amil Pečenković
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Shift invariant space and FMRA on Vilenkin group

, 2022
We construct the spectrum for a shift invariant space on Vilenkin group. We prove the results related to spectrum and Frame multiresolution analysis for Cantor dyadic group and Vilenkin group.
Mahapatra, Prasadini, Singh, Divya
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Temporal resolution of birth rate analysis in zooplankton and its implications for identifying strong interactions in ecology

Ecology and Evolution, Volume 13, Issue 7, July 2023., 2023
The temporal resolution of one of the methods to assess the relative strength of bottom‐up (food) versus top‐down (predation) effects in zooplankton is found to be comparable to the species' generation time and, approximately, to the lifetime of a single strong interaction.
Leonard V. Polishchuk, Anna A. Kasparson
wiley   +1 more source