On the  divergence of Fourier series in the general Haar system

Martin Grigoryan; Artavazd Maranjyan

doi:10.52737/18291163-2021.13.6-1-10

Authors

Martin Grigoryan Yerevan State University
Artavazd Maranjyan Yerevan State University

DOI:

https://doi.org/10.52737/18291163-2021.13.6-1-10

Keywords:

Fourier series, general Haar system, divergence sets

Abstract

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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