QUANTUM
   INTEGRABLE
   SYSTEMS and
   GEOMETRY
   2012









 3-7 SEPTEMBER 2012
 OLHÃO, PORTUGAL

Analytic prolongation of normal forms

Jean-Pierre Françoise

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Birkhoff normal form of Hamiltonian systems is a key tool for the semi-classical approximation. In several examples of Hamiltonian Systems it is possible to find an explicit analytic prolongation. We analyze in this setting a theorem of Aomoto-Forrester.