Wavelets with composite dilations.
Guo, Kanghui; Labate, Demetrio; Lim, Wang-Q; Weiss, Guido; Wilson, Edward — 2004
Electronic Research Announcements of the American Mathematical Society [electronic only]
Wavelets with composite dilations.
Some remarks on the unified characterization of reproducing systems.
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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