We establish necessary conditions for the convergence of multiple Fourier series of integrable functions in the mean.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 7, pp. 960–968, July, 2011.
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Zaderei, P.V., Ivashchuk, O.V. On necessary conditions for the convergence of Fourier series. Ukr Math J 63, 1108–1117 (2011). https://doi.org/10.1007/s11253-011-0566-0
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DOI: https://doi.org/10.1007/s11253-011-0566-0