Harmonic analysis and dynamics for affine iterated function systems

• Autores: Dorin Ervin Dutkay, Palle E. T. Jorgensen
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 33, Nº 3, 2007, págs. 877-905
• Idioma: inglés
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• Resumen

  • We introduce a harmonic analysis for a class of affine iteration models in finite dimensions. Our results use Hilbert-space geometry, and we develop a new duality notion for affine and contractive iterated function systems (IFSs). Our applications include some new identities for the Fourier transform of the measures arising from infinite Bernoulli convolutions.