Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions IIIa. One branching point

M. Hitrik; J. Sjoestrand

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arXiv · math/0506244

Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions IIIa. One branching point

M. Hitrik·J. Sjoestrand

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Abstract

This is the third in a series of works devoted to spectral asymptotics for non-selfadjoint perturbations of selfadjoint $h$-pseudodifferential operators in dimension 2. We assume that the unperturbed operator has a periodic Hamilton flow, and study the remaining generic case; when the flow average of the perturbation has a saddle point

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M. Hitrik, J. Sjoestrand. 2005-06-13. Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions IIIa. One branching point. https://arxiv.org/abs/math/0506244

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