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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F21%3A00118861" target="_blank" >RIV/00216224:14310/21:00118861 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jmaa.2021.125054" target="_blank" >https://doi.org/10.1016/j.jmaa.2021.125054</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jmaa.2021.125054" target="_blank" >10.1016/j.jmaa.2021.125054</a>

Result language
angličtina
Original language name
Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter
Original language 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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA19-01246S" target="_blank" >GA19-01246S: New oscillation theory for linear Hamiltonian and symplectic systems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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