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arXiv:math/0502277 [math.DS]AbstractReferencesReviewsResources

Harmonic analysis and dynamics for affine iterated function systems

Dorin E. Dutkay, Palle E. T. Jorgensen

Published 2005-02-13, updated 2006-04-03Version 5

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.

Comments: new version, we followed the comments of the referee and rewrote the introductory sections
Journal: Houston J. Math. 33 (2007), no. 3, 877--905.
Categories: math.DS
Subjects: 42A85, 42C25, 26A30, 28A80, 60G42, 47B80
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