Geodesic
U-Sets in Compact, 0-Dimensional, Metric Groups
Canadian mathematical bulletin, Tome 32 (1989) no. 2, pp. 149-155

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DOI

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.
DOI : 10.4153/CMB-1989-022-2
Mots-clés : 43A46, 42C10 
Grubb, D. J. U-Sets in Compact, 0-Dimensional, Metric Groups. Canadian mathematical bulletin, Tome 32 (1989) no. 2, pp. 149-155. doi: 10.4153/CMB-1989-022-2
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     title = {U-Sets in {Compact,} {0-Dimensional,} {Metric} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {149--155},
     year = {1989},
     volume = {32},
     number = {2},
     doi = {10.4153/CMB-1989-022-2},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1989-022-2/}
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