Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions I

Details Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions I Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions I

2003-02-25

arxiv.org/abs/math/0302297v1

Mathematics

Spectral Theory

81 pages

Scientific paper

This is the first in a series of works devoted to small non-selfadjoint perturbations of selfadjoint $h$-pseudodifferential operators in dimension 2. In the present work we treat the case when the classical flow of the unperturbed part is periodic and the strength $\epsilon$ of the perturbation is $\gg h$ (or sometimes only $\gg h^2$) and bounded from above by $h^{\delta}$ for some $\delta>0$. We get a complete asymptotic description of all eigenvalues in certain rectangles $[-1/C, 1/C]+ i\epsilon [F_0-1/C,F_0+1/C]$.

Affiliated with

Also associated with

No associations

Rating

Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions I does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions I, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions I will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-482749