Geodesic
Commuting functions and simultaneous Abel equations
Annales Polonici Mathematici, Tome 60 (1994) no. 2, pp. 119-135
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The system of Abel equations α(f_t(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.
DOI : 10.4064/ap-60-2-119-135
Keywords: Abel equation, commuting functions, iteration group 
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W. Jarczyk; K. Łoskot; M. Zdun. Commuting functions and simultaneous Abel equations. Annales Polonici Mathematici, Tome 60 (1994) no. 2, pp. 119-135. doi: 10.4064/ap-60-2-119-135

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