We establish relations between the notions of almost automorphic, Levitan almost periodic and regularly almost periodic points in compact minimal flows for the case of the acting groups whose all continuous characters have syndetic kernels. In particular, we generalize and give a new proof of a theorem by Bronstein.
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Miller, A. A Relation Between Almost Automorphic and Levitan Almost Periodic Points in Compact Minimal Flows. J Dyn Diff Equat 20, 519–529 (2008). https://doi.org/10.1007/s10884-007-9085-y
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DOI: https://doi.org/10.1007/s10884-007-9085-y
Keywords
- Almost automorphic
- Levitan almost periodic
- regularly almost periodic
- locally almost periodic
- distal
- regionally distal
- proximal
- compact minimal flow
- almost 1-1 extension