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Divergence everywhere of rearranged Fourier series of continuous functions

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Abstract

A pair of conjugate continuous functions are constructed whose Fourier series can be rearranged to form an unboundedly divergent series.

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Translated from Matematicheskie Zametki, Vol. 9, No. 4, pp. 459–465, April, 1971.

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Taikov, L.V. Divergence everywhere of rearranged Fourier series of continuous functions. Mathematical Notes of the Academy of Sciences of the USSR 9, 263–266 (1971). https://doi.org/10.1007/BF01387778

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  • DOI: https://doi.org/10.1007/BF01387778

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