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Natural Science, Biology, 2024, 14, 67–75
DOI: 10.xxxx/example-doi Special Issue 1(2), 2022 186–1928

On the divergence of Fourier series in the general Haar system

Received N/A; revised N/A; accepted N/A
CC BY-NC 4.0 This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

For any countable set D⊂[0,1]D⊂[0,1], we construct a bounded measurable function ff such that the Fourier series of ff with respect to the regular general Haar system is divergent on DD and convergent on [0,1]∖D[0,1]∖D.

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