Non-Selfadjoint Perturbations of Selfadjoint Operators in Two Dimensions IIIa. One Branching Point
2008 ◽
Vol 60
(3)
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pp. 572-657
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AbstractThis is the third in a series of works devoted to spectral asymptotics for non-selfadjoint perturbations of selfadjoint h-pseudodifferential operators in dimension 2, having a periodic classical flow. Assuming that the strength ॉ of the perturbation is in the range h2 ≪ ॉ ≪ h1/2 (and may sometimes reach even smaller values), we get an asymptotic description of the eigenvalues in rectangles [−1/C, 1/C] + iॉ[F0 − 1/C, F0 + 1/C], C ≫ 1, when ॉF0 is a saddle point value of the flow average of the leading perturbation.
2006 ◽
Vol 30
(1)
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pp. 20-25
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Keyword(s):
1967 ◽
Vol 22
(4)
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pp. 422-431
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Keyword(s):
2002 ◽
Vol 16
(08)
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pp. 1217-1223
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Keyword(s):
2007 ◽
Vol DMTCS Proceedings vol. AH,...
(Proceedings)
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Keyword(s):