Resumen de Harmonic analysis and dynamics for affine iterated function systems
Dorin Ervin Dutkay, Palle E. T. Jorgensen
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.
