Informace o publikaci
Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter
| Autoři | |
|---|---|
| Rok publikování | 2021 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Journal of Mathematical Analysis and Applications |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | https://doi.org/10.1016/j.jmaa.2021.125054 |
| Doi | http://dx.doi.org/10.1016/j.jmaa.2021.125054 |
| Klíčová slova | Discrete symplectic system; Eigenvalue; Eigenfunction; Expansion theorem; M(lambda)-function |
| Popis | 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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