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Strongly small-2 sets that are not Riesz sets on compact abelian groups
We prove that every infinite compact abelian group $G$ admits a countably infinite proper set $E\subset\widehat G$ that is strongly small-2 but not Riesz. More precisely, $|α|*|β|$ is absolutely continuous for all $α,β\in M_E(G)$, whereas $M_E(G)$ contains a singular complex measure of total mass on
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