CONTINUOUS AND MEASURABLE EIGENFUNCTIONS OF LINEARLY RECURRENT DYNAMICAL CANTOR SYSTEMS
نویسندگان
چکیده
منابع مشابه
Necessary and sufficient conditions to be an eigenvalue for linearly recurrent dynamical Cantor systems
We give necessary and sufficient conditions to have measurable and continuous eigenfunctions for linearly recurrent Cantor dynamical systems. We also construct explicitly an example of linearly recurrent system with nontrivial Kronecker factor and a trivial maximal equicontinuous factor.
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2003
ISSN: 0024-6107,1469-7750
DOI: 10.1112/s0024610703004320