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Determination of the jump of a function of bounded p-variation by its Fourier series

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Abstract

A formula is obtained for the jump of a function of bounded p-variation at a given point in terms of derivatives of partial sums of its Fourier series.

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Authors and Affiliations

  1. Moscow Physicotechnical Institute, USSR

    B. I. Golubov

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  1. B. I. Golubov
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Translated from Matematicheskie Zametki, Vol. 12, No. 1, pp. 19–28, July, 1972.

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Golubov, B.I. Determination of the jump of a function of bounded p-variation by its Fourier series. Mathematical Notes of the Academy of Sciences of the USSR 12, 444–449 (1972). https://doi.org/10.1007/BF01094388

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  • DOI: https://doi.org/10.1007/BF01094388

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