Geodesic
The real-analytic solutions of the Abel functional equation
Studia Mathematica, Tome 134 (1999) no. 2, pp. 135-141
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For the Abel equation on a real-analytic manifold a dynamical criterion of solvability in real-analytic functions is proved. 
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G Belitskii; Yu. Lyubich. The real-analytic solutions of the Abel functional equation. Studia Mathematica, Tome 134 (1999) no. 2, pp. 135-141. doi: 10.4064/sm-134-2-135-141

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