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Quasi-Töplitz Functions in KAM Theorem
Michela Procesi, Xindong Xu
Source abstract
We define and describe the class of quasi-Töplitz functions. We then prove an abstract KAM theorem where the perturbation is in this class. We apply this theorem to a nonlinear Schrödinger equation on the torus , thus proving existence and stability of quasi-periodic solutions.
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