Abstract
An example of a “bad” integrable function with “good” Fourier coefficients is constructed in the paper. This result generalizes one theorem of M.I. D’yachenko and S. Yu. Tikhonov.
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Original Russian Text © B. Ayanbaev, 2014, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2014, Vol. 69, No. 5, pp. 51–53.
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Ayanbaev, B. An example of a “bad” function with “good” Fourier coefficients. Moscow Univ. Math. Bull. 69, 217–219 (2014). https://doi.org/10.3103/S0027132214050076
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DOI: https://doi.org/10.3103/S0027132214050076