Necessary and Sufficient Conditions to be an Eigenvalue for Linearly Recurrent Dynamical Cantor Systems

Necessary and sufficient conditions are given for linearly recurrent Cantor dynamical systems to have measurable and continuous eigenfunctions. Also an example of a linearly recurrent system with a nontrivial Kronecker factor and a trivial maximal equicontinuous factor is constructed explicitly.

• Publication year

  2005

• Venue

  Journal of the London Mathematical Society

• Publication date

  2005-12-01

• Fields of study

  Mathematics

• Identifiers
  DOI 10.1112/S0024610705006800arXiv 0801.4619
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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