On $M₀$-sets for series with respect to characters of compact zero-dimensional groups

Year, pages: 2015, 165 - 174

Generalizing our previous result on Walsh system, we consider the system of characters of zero-dimensional compact abelian group. For this system, we give a construction of a perfect $M_0$-set whose Hausdorff $h$-measure equals zero, where $h$ is any non-decreasing right-continuous function taking the value zero at the origin.

Skvortsov, V. 2015. On $M₀$-sets for series with respect to characters of compact zero-dimensional groups. In Tatra Mountains Mathematical Publications, vol. 62, no.1, pp. 165-174. 1210-3195.

Skvortsov, V. (2015). On $M₀$-sets for series with respect to characters of compact zero-dimensional groups. Tatra Mountains Mathematical Publications, 62(1), 165-174. 1210-3195.