TY - JOUR
AU - Grigoryan, Martin
AU - Maranjyan, Artavazd
PY - 2021/09/24
Y2 - 2021/10/19
TI - On the divergence of Fourier series in the general Haar system
JF - Armenian Journal of Mathematics
JA - Armen.J.Math.
VL - 13
IS - 6
SE - Articles
DO - 10.52737/18291163-2021.13.6-1-10
UR - http://armjmath.sci.am/index.php/ajm/article/view/533
SP - 1-10
AB - <p>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 $[0,1]\backslash D$.</p>
ER -