Uniform approximation by Fourier–Stieltjes coefficients
Published online by Cambridge University Press: 24 October 2008
Extract
In chapter I, E = {nk} ⊂ Z is shown to be a Sidon set if and only if (**). For each x ∈ T,
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Let E ⊂ Z+ be a lacunary sequence. In chapter II, it is constructively shown that the characteristic function of E is uniformly approximable by Fourier–Stieltjes coefficients; i.e. ϕE ∈ M(T)∧−.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 3 , July 1968 , pp. 615 - 624
- Copyright
- Copyright © Cambridge Philosophical Society 1968
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