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Harmonic analysis and dynamics for affine iterated function systems
Journal article   Peer reviewed

Harmonic analysis and dynamics for affine iterated function systems

Dorin Ervin Dutkay and Palle E. T Jorgensen
Houston journal of mathematics, Vol.33(3), pp.877-905
01/01/2007

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Abstract

We introduce a harmonic analysis for a class of affine iteration models in R-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.
Mathematics Physical Sciences Science & Technology

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