Weyl-Titchmarsh functions of vector-valued Sturm-Liouville operators on the unit interval
| dc.creator | Chelkak, Dmitry | |
| dc.creator | Korotyaev, Evgeny | |
| dc.date | 2008-08-19 | |
| dc.date | 2008-09-04 | |
| dc.date.accessioned | 2026-07-07T10:00:12Z | |
| dc.date.available | 2026-07-07T10:00:12Z | |
| dc.description | The matrix-valued Weyl-Titchmarsh functions $M(λ)$ of vector-valued Sturm-Liouville operators on the unit interval with the Dirichlet boundary conditions are considered. The collection of the eigenvalues (i.e., poles of $M(λ)$) and the residues of $M(λ)$ is called the spectral data of the operator. The complete characterization of spectral data (or, equivalently, $N\times N$ Weyl-Titchmarsh functions) corresponding to $N\times N$ self-adjoint square-integrable matrix-valued potentials is given, if all $N$ eigenvalues of the averaged potential are distinct. | |
| dc.description | 34 pages; typos corrected | |
| dc.identifier | https://arxiv.org/abs/0808.2547 | |
| dc.identifier | http://arxiv.org/abs/0808.2547 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168269 | |
| dc.subject | Spectral Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | 34A55 (Primary) 34B24, 47E05 (Secondary) | |
| dc.title | Weyl-Titchmarsh functions of vector-valued Sturm-Liouville operators on the unit interval | |
| dc.type | text |