Inverse resonance scattering for Jacobi operators

Details Inverse resonance scattering for Jacobi operators Inverse resonance scattering for Jacobi operators

2008-08-20

arxiv.org/abs/0808.2805v1

Mathematics

Spectral Theory

Scientific paper

We consider the Jacobi operator $(Jf)_n= a_{n-1}f_{n-1}+a_nf_{n+1}+b_nf_n$ on $\Z$ with a real compactly supported sequences $(a_n-1)_{n\in\Z}$ and $(b_n)_{n\in\Z}$. We give the solution of two inverse problems (including characterization): $ (a,b)\to \{$zeros of the reflection coefficient$\}$ and $(a,b)\to \{$bound states and resonances$\}$. We describe the set of "iso-resonance operators $J$", i.e., all operators $J$ with the same resonances and bound states.

Affiliated with

Also associated with

No associations

Rating

Inverse resonance scattering for Jacobi 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 Inverse resonance scattering for Jacobi operators, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inverse resonance scattering for Jacobi operators will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-609806