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

Published online by Cambridge University Press:  20 November 2018

D. J. Grubb
D. J. Grubb*
Affiliation:
Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115
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Abstract

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This 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.

Keywords

43A4642C10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 2 , 01 June 1989 , pp. 149 - 155
Copyright
Copyright © Canadian Mathematical Society 1989

References

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