Abstract
There exists a continuous function whose Fourier sum, when taken in decreasing order of magnitude of the coefficients, diverges unboundedly almost everywhere.
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References
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Communicated by John J. Benedetto
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Körner, T.W. Decreasing rearranged Fourier series. The Journal of Fourier Analysis and Applications 5, 1–19 (1999). https://doi.org/10.1007/BF01274186
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DOI: https://doi.org/10.1007/BF01274186