We describe the isotropic Besov spaces of functions of several variables in the terms of conditions imposed on the Fourier–Haar coefficients.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 4, pp. 551–562, April, 2016.
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Romanyuk, V.S. Multiple Haar Basis and m-term Approximations for Functions from the Besov Classes. I. Ukr Math J 68, 625–637 (2016). https://doi.org/10.1007/s11253-016-1246-x
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DOI: https://doi.org/10.1007/s11253-016-1246-x