Mathematics – Dynamical Systems
Scientific paper
2005-02-13
Houston J. Math. 33 (2007), no. 3, 877--905.
Mathematics
Dynamical Systems
new version, we followed the comments of the referee and rewrote the introductory sections
Scientific paper
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.
Dutkay Dorin E.
Jorgensen Palle E. T.
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