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

2005/06/13 by M. Hitrik, Hitrik, M., J. Sjoestrand +1
Mathematics · #31C10 #35P20 #35Q40 #37J35 #37J45 #53D22 #58J40 #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory (math.SP) #math.AP #math.SP #msc:31C10 #msc:35P20 #msc:35Q40 #msc:37J35 #msc:37J45 #msc:53D22 #msc:58J40

paper · pdf · doi:10.48550/arxiv.math/0506244

arxiv created 2005/06/13 · arxiv updated 2009/12/01

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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