On the divergence of Fourier series in the general Haar system


  • Martin Grigoryan Yerevan State University
  • Artavazd Maranjyan Yerevan State University




Fourier series, general Haar system, divergence sets


For any countable set $D \subset [0,1]$, we construct a bounded measurable function $f$ such that the Fourier series of $f$ with respect to the regular general Haar system is divergent on $D$ and convergent on $[0,1]\backslash D$.


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How to Cite

Grigoryan, M., & Maranjyan, A. (2021). On the divergence of Fourier series in the general Haar system. Armenian Journal of Mathematics, 13(6), 1–10. https://doi.org/10.52737/18291163-2021.13.6-1-10