| ZEMÁNEK, Petr. Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter. Journal of Mathematical Analysis and Applications. Elsevier, 2021, vol. 499, No 2, p. "125054", 37 pp. ISSN 0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2021.125054. |
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@article{1742759,
author = {Zemánek, Petr},
article_number = {2},
doi = {http://dx.doi.org/10.1016/j.jmaa.2021.125054},
keywords = {Discrete symplectic system; Eigenvalue; Eigenfunction; Expansion theorem; M(lambda)-function},
language = {eng},
issn = {0022-247X},
journal = {Journal of Mathematical Analysis and Applications},
title = {Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter},
url = {https://doi.org/10.1016/j.jmaa.2021.125054},
volume = {499},
year = {2021}
}
TY - JOUR
ID - 1742759
AU - Zemánek, Petr
PY - 2021
TI - Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter
JF - Journal of Mathematical Analysis and Applications
VL - 499
IS - 2
SP - "125054"
EP - "125054"
PB - Elsevier
SN - 0022247X
KW - Discrete symplectic system
KW - Eigenvalue
KW - Eigenfunction
KW - Expansion theorem
KW - M(lambda)-function
UR - https://doi.org/10.1016/j.jmaa.2021.125054
L2 - https://doi.org/10.1016/j.jmaa.2021.125054
N2 - 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.
ER -
ZEMÁNEK, Petr. Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter. \textit{Journal of Mathematical Analysis and Applications}. Elsevier, 2021, vol.~499, No~2, p.~''125054'', 37 pp. ISSN~0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2021.125054.
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