Stability for the inverse resonance problem for a Jacobi operator with complex potential. (English) Zbl 1131.39016
The authors assume that the potential \(Q\) of the Jacobi operator \(J\) is exponentially decreasing. They give an estimate for two potentials – one of them finitely supported for which eigenvalues and small resonances are the same but which may differ with respect to their large resonances.
Reviewer: Stefan Balint (Timişoara)
MSC:
39A12 | Discrete version of topics in analysis |
39A11 | Stability of difference equations (MSC2000) |
34L40 | Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) |