Abstract
AbstractThis is the third in a series of works devoted to spectral asymptotics for non-selfadjoint perturbations of selfadjointh-pseudodifferential operators in dimension 2, having a periodic classical flow. Assuming that the strength ॉ of the perturbation is in the rangeh2≪ ॉ ≪ h1/2(and may sometimes reach even smaller values), we get an asymptotic description of the eigenvalues in rectangles [−1/C, 1/C] +iॉ[F0− 1/C,F0 + 1/C],C≫ 1, when ॉF0is a saddle point value of the flow average of the leading perturbation.
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