Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter
| Authors | |
|---|---|
| Year of publication | 2021 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Mathematical Analysis and Applications |
| MU Faculty or unit | |
| Citation | |
| Web | https://doi.org/10.1016/j.jmaa.2021.125054 |
| Doi | http://dx.doi.org/10.1016/j.jmaa.2021.125054 |
| Keywords | Discrete symplectic system; Eigenvalue; Eigenfunction; Expansion theorem; M(lambda)-function |
| Description | Eigenfunctions expansion for discrete symplectic systems on a finite discrete interval is established in the case of a general linear dependence on the spectral parameter as a significant generalization of the Expansion theorem given by Bohner et al. (2009) [14]. Subsequently, an integral representation of the Weyl-Titchmarsh M(lambda)-function is derived explicitly by using a suitable spectral function and a possible extension to the half-line case is discussed. The main results are illustrated by several examples. |
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