<abstract xmlns="http://www.w3.org/1999/xhtml"> 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.</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.

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

Institute of Mathematics Casimirus the Great University pl. Weyssenhoffa 11 PL-85-079 Bydgoszcz POLAND

Department of Mathematics Moscow State University Moscow 119991 RUSSIA

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On M-sets for series with respect to characters of compact zero-dimensional

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...

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

Published Online: Sep 25, 2015

Page range: 165 - 174

Received: Nov 28, 2014

DOI: https://doi.org/10.1515/tmmp-2015-0013

© 2015

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.