Marletta, Marco, Naboko, Sergey, Shterenberg, R, Weikard, R (2012) On the inverse resonance problem for Jacobi operators—uniqueness and stability. Journal d'Analyse Mathématique, 117 (1). pp. 221-247. ISSN 1565-8538. (doi:10.1007/s11854-012-0020-8) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:40460)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
| Official URL: http://dx.doi.org/10.1007/s11854-012-0020-8 |
Abstract
We estimate the difference of the coefficients of two Jacobi operators (from a certain class) from knowledge about their eigenvalues and resonances. More specifically, we prove that if eigenvalues and resonances of the two operators in a sufficiently large disk are respectively close, then the coefficients are close too. A uniqueness result for the inverse resonance problem follows as a corollary.
| Item Type: | Article |
|---|---|
| DOI/Identification number: | 10.1007/s11854-012-0020-8 |
| Additional information: | number of additional authors: 3; |
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA276 Mathematical statistics |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Stewart Brownrigg |
| Date Deposited: | 07 Mar 2014 00:05 UTC |
| Last Modified: | 05 Nov 2024 10:24 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/40460 (The current URI for this page, for reference purposes) |
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