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Fourier transforms and descriptive set theory
Published online by Cambridge University Press: 26 February 2010
Extract
We state some definitions belonging to the two halves of the title, going far enough to state our main results.
Fourier transforms. Let μ be a finite, complex-valued measure on R and its Fourier-Stieltjes transform. We define ℛ to be the set of μ with When μ ∈ ℛ and φ is of class (continuously differentiable of compact support), the identity shows that θ · μ ∈ ℛ.
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