Mathematics – Spectral Theory
Scientific paper
2011-07-13
Mathematics
Spectral Theory
Scientific paper
In this article we obtain asymptotic formulas, uniform with respect to t\in[0,2{\pi}), for eigenvalues and eigenfunctions of the Sturm-Liouville operators L_{t}(q) with potential q\inL_{1}[0,1] and t-periodic boundary conditions. Using these formulas, we find some conditions on q such that the number of spectral singularities in the spectrum of the Hill operator L(q) in L_{2}(-\infty,\infty) with q(x) periodic is finite. Then we prove that L(q) is, in some sense, asymptotically spectral operator if q satisfies these conditions.
No associations
LandOfFree
Asymptotic Analysis of Non-self-adjoint Hill Operators 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 Asymptotic Analysis of Non-self-adjoint Hill Operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Asymptotic Analysis of Non-self-adjoint Hill Operators will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-165851