Harmonic analysis and dynamics for affine iterated function systems

    Authors

    D. E. Dutkay;P. E. T. Jorgensen

    Comments

    Authors: contact us about adding a copy of your work at STARS@ucf.edu

    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

    WOS:000250831500018

    ISSN

    0362-1588

    Share

    COinS