Harmonic analysis and dynamics for affine iterated function systems

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dc.creatorDutkay, Dorin E.
dc.creatorJorgensen, Palle E. T.
dc.date2005-02-13
dc.date2006-04-03
dc.date.accessioned2026-07-07T09:56:32Z
dc.date.available2026-07-07T09:56:32Z
dc.descriptionWe 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.
dc.descriptionnew version, we followed the comments of the referee and rewrote the introductory sections
dc.identifierhttps://arxiv.org/abs/math/0502277
dc.identifierhttp://arxiv.org/abs/math/0502277
dc.identifierHouston J. Math. 33 (2007), no. 3, 877--905.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167011
dc.subjectDynamical Systems
dc.subject42A85, 42C25, 26A30, 28A80, 60G42, 47B80
dc.titleHarmonic analysis and dynamics for affine iterated function systems
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