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Spectral Theory of Dynamical Systems

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1294)

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.

Keywords

  • Probability Measure
  • Spectral Theory
  • Irrational Rotation
  • Multiplicity Function
  • Countable Subgroup

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Correspondence to Martine Queffélec .

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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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