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The affine systems generated by Ψ ⊂ L2(Rn) are the systems
AA(Ψ) = {Dj
A Tk Ψ : j ∈ Z, k ∈ Zn},
where Tk are the translations, and DA the dilations with respect to an invertible matrix A. As shown in [5], there is a simple characterization for those affine systems that are a Parseval...
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