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Strong summability and convergence of multiple trigonometric series over polyhedrons

  • Real and Complex Analysis
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Abstract

The paper is a survey of the known results related with Fourier series strong polyhedral means of functions continuous on the m-dimensional torus, Sidon type inequalities for Dirichlet kernels in polyhedrons and integrability and convergence of multiple trigonometric series.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Donetsk, Ukraine

    O. I. Kuznetsova

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  1. O. I. Kuznetsova
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Correspondence to O. I. Kuznetsova.

Additional information

Original Russian Text © O. I. Kuznetsova, 2012, published in Izvestiya NAN Armenii. Matematika, 2012, No. 5, pp. 49–64.

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Kuznetsova, O.I. Strong summability and convergence of multiple trigonometric series over polyhedrons. J. Contemp. Mathemat. Anal. 47, 240–250 (2012). https://doi.org/10.3103/S1068362312050044

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