Mathematics – Spectral Theory
Scientific paper
2010-06-08
Mathematics
Spectral Theory
Scientific paper
10.1016/j.jmaa.2011.11.016
We describe the spectral properties of the Jacobi operator $(Hy)_n= a_{n-1} y_{n-1}+a_{n}y_{n+1}+b_ny_n,$ $n\in\Z,$ with $a_n=a_n^0+ u_n,$ $b_n= b_n^0+ v_n,$ where sequences $a_n^0>0,$ $b_n^0\in\R$ are periodic with period $q$, and sequences $ u_n,$ $ v_n$ have compact support. In the case $ u_n\equiv 0$ we obtain the asymptotics of the spectrum in the limit of small perturbations $ v_n.$
Iantchenko Alexei
Korotyaev Evgeny
No associations
LandOfFree
Periodic Jacobi operator with finitely supported perturbations 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 Periodic Jacobi operator with finitely supported perturbations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Periodic Jacobi operator with finitely supported perturbations will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-30137