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On the integration of one class ofN-dimensional trigonometric series

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Abstract

We prove new sufficient conditions for the integrability ofN-dimensional trigonometric series, which follow from unimprovable Sidon-type inequalities.

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References

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Additional information

Institute of Applied Mathematics, and Mechanics, Ukrainian Academy of Sciences, Donetsk. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 52, No. 6, pp. 837–840, June, 2000.

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Kuznetsova, O.I. On the integration of one class ofN-dimensional trigonometric series. Ukr Math J 52, 960–963 (2000). https://doi.org/10.1007/BF02591790

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  • DOI: https://doi.org/10.1007/BF02591790

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