On spectral synthesis for sets of the form 𝐸=\overline{𝑖𝑛𝑡(𝐸)}

Colella, David

doi:10.1090/S0002-9939-1983-0712629-1

On spectral synthesis for sets of the form $E=\overline {\textrm {int}(E)}$
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Proc. Amer. Math. Soc. 89 (1983), 236-238 Request permission

Abstract:

The existence of a Helson set disobeying spectral synthesis is combined with the modified Herz criterion to construct a subset $E$ of the circle such that spectral synthesis holds for $E$ and fails for $\partial E$.

References

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