Abstract
In this chapter, we deal with dynamical systems to which we apply the foregoing results. In particular, we give a spectral characterization of the differentmixing properties (weak, mild, strong). All the results are well-known, and we omit the classical proofs for which we refer to [61,93,111,139,145,151,193,197,200,241] or others. We close this chapter by an overview on group extensions over an ergodic rotation.
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© 2010 Springer-Verlag Berlin Heidelberg
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Queffélec, M. (2010). Spectral Theory of Dynamical Systems. 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_3
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DOI: https://doi.org/10.1007/978-3-642-11212-6_3
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11211-9
Online ISBN: 978-3-642-11212-6
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