Harmonic analysis and dynamics for affine iterated function systems
classification
🧮 math.DS
keywords
affineanalysisfunctionharmoniciteratedsystemsbernoulliclass
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We introduce a harmonic analysis for a class of affine iteration models in $\br^d$. Using Hilbert-space geometry, we develop a new duality notion for affine and contractive iterated function systems (IFSs) and we construct some identities for the Fourier transform of the measure corresponding to infinite Bernoulli convolutions.
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