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Koenigs-Poincaré Theorem


Let G denote the group of germs of holomorphic diffeomorphisms of (C,0). Then if |lambda|!=1, then G_lambda is a conjugacy class, i.e., all f in G_lambda are linearizable.


See also

Diffeomorphism

References

Marmi, S. "An Introduction to Small Divisors Problems" 27 Sep 2000. http://arxiv.org/abs/math.DS/0009232.

Referenced on Wolfram|Alpha

Koenigs-Poincaré Theorem

Cite this as:

Weisstein, Eric W. "Koenigs-Poincaré Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Koenigs-PoincareTheorem.html