Publication details

Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter

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Year of publication 2021
Type Article in Periodical
Magazine / Source Journal of Mathematical Analysis and Applications
MU Faculty or unit

Faculty of Science

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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