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Harmonic analysis and dynamics for affine iterated function systems

Dorin E. Dutkay·Palle E. T. Jorgensen
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Abstract

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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Dorin E. Dutkay, Palle E. T. Jorgensen. 2006-04-03. Harmonic analysis and dynamics for affine iterated function systems. https://arxiv.org/abs/math/0502277

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