Resolvent and spectrum for discrete symplectic systems in the limit point case
| Authors | |
|---|---|
| Year of publication | 2022 |
| Type | Article in Periodical |
| Magazine / Source | Linear Algebra and its Applications |
| MU Faculty or unit | |
| Citation | |
| Web | https://doi.org/10.1016/j.laa.2021.11.001 |
| Doi | http://dx.doi.org/10.1016/j.laa.2021.11.001 |
| Keywords | Discrete symplectic system; Spectrum; Eigenvalue; Limit point case; M(?)-function |
| Description | The spectrum of an arbitrary self-adjoint extension of the minimal linear relation associated with the discrete symplectic system in the limit point case is completely characterized by using the limiting Weyl–Titchmarsh M+(?) -function. Furthermore, a dependence of the spectrum on a boundary condition is investigated and, consequently, several results of the singular Sturmian theory are derived. |
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