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In this paper we study reducibility of time quasiperiodic perturbations ofthe quantum harmonic or anharmonic oscillator in one space dimension. We modifyknown algorithms obtaining a reducibility result which allows to deal withperturbations of order strictly larger than the ones considered in all theprevious papers.

Reducibility of 1-d Schr\"odinger equation with unbounded time quasiperiodic perturbations, III