Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591452 | Journal of Functional Analysis | 2010 | 22 Pages |
Abstract
Let E be a compact perfect subset of the real line R such that the restriction of the Fourier transform from L1(R) into C(E) is onto. Helson proved that then, for μ∈M(E), is possible only if μ=0. In this paper we present an abstract version of this theorem of Helson and provide some applications of it to the study of sets of spectral synthesis and sets of uniqueness.
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