Book chapter
Orthogonal Exponentials for Bernoulli Iterated Function Systems
Representations, Wavelets, and Frames, pp.217-237
Applied and Numerical Harmonic Analysis, Birkhäuser Boston
2008
DOI: 10.1007/978-0-8176-4683-7_11
Abstract
We investigate certain spectral properties of the Bernoulli convolution measures on attractor sets arising from iterated function systems (IFSs) on ℝ. In particular, we examine collections of orthogonal exponential functions in the Hilbert space of square-integrable functions on the attractor. We carefully examine a test case λ = 3/4 in which the IFS has overlap. We also determine rational λ = a/b for which infinite sets of orthogonal exponentials exist.
Details
- Title: Subtitle
- Orthogonal Exponentials for Bernoulli Iterated Function Systems
- Creators
- Palle Jorgensen - University of IowaKeri Kornelson - Grinnell CollegeKaren Shuman - Grinnell College
- Contributors
- Judith A Packer (Editor)Kathy D Merrill (Editor)Palle E. T Jorgensen (Editor)
- Resource Type
- Book chapter
- Publication Details
- Representations, Wavelets, and Frames, pp.217-237
- Publisher
- Birkhäuser Boston; Boston, MA
- Series
- Applied and Numerical Harmonic Analysis
- DOI
- 10.1007/978-0-8176-4683-7_11
- eISSN
- 2296-5017
- ISSN
- 2296-5009
- Language
- English
- Date published
- 2008
- Academic Unit
- Mathematics
- Record Identifier
- 9983985998802771
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