Abstract
We study different versions of strong summation of N-dimensional Fourier series over polyhedrons and related estimates for integral norms of linear means of the Dirichlet kernels (Sidon-type inequalities).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 12, pp. 1630–1635, December, 1998.
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Kuznetsova, O.I. Strong summability of multiple Fourier series and Sidon-type inequalities. Ukr Math J 50, 1860–1866 (1998). https://doi.org/10.1007/BF02514202
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DOI: https://doi.org/10.1007/BF02514202