Abstract
We prove the strong Carleman summability of the Fourier series of continuous functions on the m-dimensional torus, with partial sums constructed over polyhedra of a certain class.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 2, pp. 275–279, February, 1992.
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Kuznetsova, O.I. On strong Carleman means of multiple trigonometric Fourier series. Ukr Math J 44, 241–244 (1992). https://doi.org/10.1007/BF01061749
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DOI: https://doi.org/10.1007/BF01061749