On M0-sets for series with respect to characters of compact zero-dimensional
Abstract
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 M0-set set whose Hausdorff h-measure equals zero, where h is any non-decreasing right-continuous function taking the value zero at the origin.
Language: English
Page range: 165 - 174
Submitted on: Nov 28, 2014
Published on: Sep 25, 2015
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year
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© 2015 Valentin Skvortsov, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.