Abstract
We now deal exclusively (unless specific mention of the contrary) with systems arising from primitive and aperiodic substitutions of constant length–more generally automata–and our purpose, till the end of chapter 11, is to give a constructive description of the spectral multiplicity and maximal spectral type of such systems. We shall prefer to refer to as the spectrum of the substitution.
Keywords
- Spectral Measure
- Positive Measure
- Minimal Polynomial
- Continuous Part
- Partial Isometry
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© 2010 Springer-Verlag Berlin Heidelberg
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Queffélec, M. (2010). Matrices of Measures. In: Substitution Dynamical Systems - Spectral Analysis. Lecture Notes in Mathematics(), vol 1294. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11212-6_7
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DOI: https://doi.org/10.1007/978-3-642-11212-6_7
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Print ISBN: 978-3-642-11211-9
Online ISBN: 978-3-642-11212-6
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