AbstractA Borel measure μ in Rd is called a spectral measure if there exists a set Λ⊂Rd such that the set of exponentials {exp(2πiλ⋅x):λ∈Λ} forms an orthogonal basis for L2(μ). In this letter we prove some properties of spectral measures. In particular, we prove results that highlight the 3/2-rule
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