Some problems in the theory of approximation of functions on locally compact Vilenkin groups
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Publication:2281430
DOI10.1134/S2070046619020067zbMath1430.43002OpenAlexW2943220534WikidataQ114074757 ScholiaQ114074757MaRDI QIDQ2281430
Publication date: 19 December 2019
Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s2070046619020067
modulus of continuityembedding theoremsLipschitz conditionapproximation of functionslocally compact Vilenkin groupszero-dimensional groups
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15) Numerical methods in Fourier analysis (65T99)
Related Items
Step wavelets on Vilenkin groups, Fourier transform of Dini-Lipschitz functions on locally compact Vilenkin groups, Ulyanov-type embedding theorems for functions on zero-dimensional locally compact groups, Fourier transform of Dini-Lipschitz functions on the field of \(p\)-adic numbers, Embedding theorems for Hölder classes defined on \(p\)-adic linear spaces
Cites Work
- Hausdorff operators on \(p\)-adic linear spaces and their properties in Hardy, \(BMO\), and Hölder spaces
- On the orthogonality of a system of shifts of the scaling function on Vilenkin groups
- Biorthogonal wavelets on Vilenkin groups
- On the modulus of continuity with respect to functions defined on Vilenkin groups
- Moduli of continuity of functions, defined on a zero-dimensional group
- Hörmander-type multipliers on locally compact Vilenkin groups: the \(L^1(G)\)-case
- Some problems in the theory of approximation of functions on the group of \(p\)-adic numbers
- An analogue of the Titchmarsh theorem for the Fourier transform on locally compact Vilenkin groups
- Wavelet frames on Vilenkin groups and their approximation properties
- Fourier Analysis on Local Fields. (MN-15)
- Multipliers of weak type on locally compact Vilenkin groups
- Harmonic Analysis and Fractal Analysis over Local Fields and Applications
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