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math.SP2005★ 4 cited
Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions IIIa. One branching point
M. Hitrik, J. Sjoestrand
This is the third in a series of works devoted to spectral asymptotics for non-selfadjoint perturbations of selfadjoint -pseudodifferential operators in dimension 2. We assume t…
math.SP2005
Diophantine tori and spectral asymptotics for non-selfadjoint operators
Michael Hitrik, Johannes Sjoestrand, San Vu Ngoc
We study spectral asymptotics for small non-selfadjoint perturbations of selfadjoint -pseudodifferential operators in dimension 2, assuming that the classical flow of the unpert…