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arxiv: math/0506244 · v1 · submitted 2005-06-13 · 🧮 math.SP · math.AP

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

classification 🧮 math.SP math.AP
keywords flownon-selfadjointoperatorsperturbationspointselfadjointassumeasymptotics
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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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