Abstract
We discuss the problem on approximation by tight wavelet frames on the field \(\mathbb{Q}_p\) of \(p\)-adic numbers. For tight frames in the field \(\mathbb{Q}p\), constructed earlier by the authors, we obtain approximation estimates for functions from Sobolev spaces with logarithmic weight.
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Funding
This work was supported by the Russian Science Foundation No 22-21-00037, https://rscf.ru/project/22-21-00037.
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Lukomskii, S.F., Vodolazov, A.M. On Approximation by Tight Wavelet Frames on the Field of \(p\)-Adic Numbers. P-Adic Num Ultrametr Anal Appl 16, 60–69 (2024). https://doi.org/10.1134/S2070046624010059
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DOI: https://doi.org/10.1134/S2070046624010059