Title
Harmonic Analysis And Dynamics For Affine Iterated Function Systems
Keywords
Bernoulli convolution; Cycle; Fourier transform; Harmonic function; Hubert space; Iterated function system (IFS); Markov process; Measures; Perron-Frobenius; Projective limits; Transfer operator
Abstract
We introduce a harmonic analysis for a class of affine iteration models in ℝd. 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. © 2007 University of Houston.
Publication Date
10-29-2007
Publication Title
Houston Journal of Mathematics
Volume
33
Issue
3
Number of Pages
877-905
Document Type
Article
Personal Identifier
scopus
Copyright Status
Unknown
Socpus ID
35448931041 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/35448931041
STARS Citation
Dutkay, Dorin Ervin and Jorgensen, Palle E.T., "Harmonic Analysis And Dynamics For Affine Iterated Function Systems" (2007). Scopus Export 2000s. 6314.
https://stars.library.ucf.edu/scopus2000/6314