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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Ensembles de Riesz


Author: Valérie Tardivel
Journal: Trans. Amer. Math. Soc. 305 (1988), 167-174
MSC: Primary 43A46; Secondary 04A15
MathSciNet review: 920152
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Abstract | References | Similar Articles | Additional Information

Abstract: Let $ G$ be an abelian countable discrete group. We show that there exists no positive characterization of Riesz subsets of $ G$, by proving that the Riesz subsets of $ G$ form a coanalytic non-Borel subset of $ {2^G}$.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1988-0920152-3
PII: S 0002-9947(1988)0920152-3
Keywords: Riesz sets, coanalytic sets, harmonic analysis on compact abelian groups
Article copyright: © Copyright 1988 American Mathematical Society