Abstract
We give estimates for the magnitude of Fourier coefficients with respect to the character system of \(p\)-adic integers of functions from generalized Hölder spaces and some fluctuational spaces. In all cases we establish the sharpness of estimates.
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Authors thank the referee for valuable remarks and suggestions.
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The work of first author is supported by the Ministry of Science and Education of the Russian Federation in the framework of the basic part of the scientific research state task, project FSRR-2020-0006.
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Volosivets, S.S., Mingachev, A.N. On the Magnitude of Fourier Coefficients with Respect to the Character System of \(\mathbb Z_p\). P-Adic Num Ultrametr Anal Appl 14, 316–324 (2022). https://doi.org/10.1134/S2070046622040057
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DOI: https://doi.org/10.1134/S2070046622040057