Generalizing our previous result on Walsh system, we consider the system ofcharacters of zero-dimensional compact abelian group and give for this system a construction of a perfect $M_0$-set whose Hausdor $h$-measure equals zero, where $h$ is any non-decreasing right-continuous function taking the value zero at the origin.
@article{354,
title = {On $M\_0$-sets for series with respect to characters of compact zero-dimensional groups},
journal = {Tatra Mountains Mathematical Publications},
volume = {62},
year = {2015},
doi = {10.2478/tatra.v62i0.354},
language = {EN},
url = {http://dml.mathdoc.fr/item/354}
}
Skvortsov, Valentin. On $M_0$-sets for series with respect to characters of compact zero-dimensional groups. Tatra Mountains Mathematical Publications, Tome 62 (2015) . doi : 10.2478/tatra.v62i0.354. http://gdmltest.u-ga.fr/item/354/