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Keywords:
$\sigma $-porosity; sets of extended uniqueness; trigonometric series; $H^{(n)}$-sets
$\sigma $-porosity; sets of extended uniqueness; trigonometric series; $H^{(n)}$-sets
Summary:
We show that there exists a closed non-$\sigma$-porous set of extended uniqueness. We also give a new proof of Lyons' theorem, which shows that the class of $H^{(n)}$-sets is not large in $U_0$.
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