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. |
Other formats:
BibTeX
LaTeX
RIS
@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.
|