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Commuting functions and simultaneous Abel equations

W. JarczykK. ŁoskotM. C. Zdun — 1994

Annales Polonici Mathematici

The system of Abel equations α(ft(x)) = α(x) + λ(t), t ∈ T, is studied under the general assumption that f t are pairwise commuting homeomorphisms of a real interval and have no fixed points (T is an arbitrary non-empty set). A result concerning embeddability of rational iteration groups in continuous groups is proved as a simple consequence of the obtained theorems.

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