Title
Harmonic analysis and dynamics for affine iterated function systems
Abbreviated Journal Title
Houst. J. Math.
Keywords
measures; Fourier transform; projective limits; iterated function system; (IFS); transfer operator; Hilbert space; Perron-Frobenius; harmonic; function; cycle; Maxkov process; Bernoulli convolution; SYMMETRIC BERNOULLI CONVOLUTIONS; REPRESENTATIONS; DIMENSION; OVERLAPS; Mathematics
Abstract
We introduce a harmonic analysis for a class of affine iteration models in R-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.
Journal Title
Houston Journal of Mathematics
Volume
33
Issue/Number
3
Publication Date
1-1-2007
Document Type
Article
Language
English
First Page
877
Last Page
905
WOS Identifier
ISSN
0362-1588
Recommended Citation
"Harmonic analysis and dynamics for affine iterated function systems" (2007). Faculty Bibliography 2000s. 7080.
https://stars.library.ucf.edu/facultybib2000/7080
Comments
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