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

被引：4

作者：

Kholshchevnikova, Natalia ^{[2
]}

Skvortsov, Valentin ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Dept Math, Moscow 119991, Russia

[2] MSTU STANKIN, Dept Math, Moscow, Russia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 446卷 / 01期

关键词：

Compact zero-dimensional abelian group; Characters of a group; U-set; M-set; Category problem; Hausdorff h-measure; KURZWEIL-HENSTOCK;

D O I：

10.1016/j.jmaa.2016.08.062

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Generalizing our previous results on Walsh system, we consider the system of characters of zero-dimensional compact abelian group with the second axiom of countability and give for the sets of uniqueness with respect to this system a solution of category problem. We also obtain a generalization of a theorem on existence for this system a perfect M-0-set whose Hausdorff h-measure equals zero. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：383 / 394

页数：12

共 20 条

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[9] ON THE CATEGORY OF U-SETS FOR SERIES IN THE WALSH SYSTEM
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