Direct and inverse spectral problems for a class of non-selfadjoint band matrices
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2013
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866915362429206528 |
|---|---|
| author | Bebiano, Natalia Tyaglov, Mikhail |
| author_facet | Bebiano, Natalia Tyaglov, Mikhail |
| contents | The spectral properties of a class of band matrices are investigated. The reconstruction of matrices of this special class from given spectral data is also studied. Necessary and sufficient conditions for that reconstruction are found. The obtained results extend some results on the direct and inverse spectral problems for periodic Jacobi matrices and for some non-self-adjoint tridiagonal matrices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1304_5460 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | Direct and inverse spectral problems for a class of non-selfadjoint band matrices Bebiano, Natalia Tyaglov, Mikhail Spectral Theory Classical Analysis and ODEs 65F15, 15A18 The spectral properties of a class of band matrices are investigated. The reconstruction of matrices of this special class from given spectral data is also studied. Necessary and sufficient conditions for that reconstruction are found. The obtained results extend some results on the direct and inverse spectral problems for periodic Jacobi matrices and for some non-self-adjoint tridiagonal matrices. |
| title | Direct and inverse spectral problems for a class of non-selfadjoint band matrices |
| topic | Spectral Theory Classical Analysis and ODEs 65F15, 15A18 |
| url | https://arxiv.org/abs/1304.5460 |