On the divergence of Fourier series in the general Haar system

Author(s)

On the divergence of Fourier series in the general Haar system Martin Grigoryan

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.

DOI: 10.52737/18291163-2021.13.6-1-10 Armenian Journal of Mathematics, 13(6) 1-10

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Keywords

Fourier series, general Haar system, divergence sets

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