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

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

2005-06-13

arxiv.org/abs/math/0506244v1

Mathematics

Spectral Theory

Scientific paper

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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