U-Sets in Compact, 0-Dimensional, Metric Groups

Author:

Grubb D. J.

Abstract

AbstractThis paper studies a pointwise definition of sets of uniqueness on compact, 0-dimensional, metric groups. It is shown that this definition is equivalent for closed sets to one based on supports of pseudo functions. An analog of Rajchman's theorem is given leading to examples of sets of uniqueness.

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. -sets in the products of zero-dimensional compact abelian groups;European Journal of Mathematics;2019-02-08

2. On U- and M-sets for series with respect to characters of compact zero-dimensional groups;Journal of Mathematical Analysis and Applications;2017-02

3. GROWTH-CONDITIONS FOR THIN SETS IN VILENKIN GROUPS OF BOUNDED ORDER;P AM MATH SOC;1993

4. Dirichlet sets in Vilenkin groups;Acta Mathematica Hungarica;1993-03

5. Growth conditions for thin sets in Vilenkin groups of bounded order;Proceedings of the American Mathematical Society;1993

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