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@article{1804582,
author = {Zemánek, Petr},
article_number = {February},
doi = {http://dx.doi.org/10.1016/j.laa.2021.11.001},
keywords = {Discrete symplectic system; Spectrum; Eigenvalue; Limit point case; M(λ)-function},
language = {eng},
issn = {0024-3795},
journal = {Linear Algebra and its Applications},
title = {Resolvent and spectrum for discrete symplectic systems in the limit point case},
url = {https://doi.org/10.1016/j.laa.2021.11.001},
volume = {634},
year = {2022}
}
TY - JOUR
ID - 1804582
AU - Zemánek, Petr
PY - 2022
TI - Resolvent and spectrum for discrete symplectic systems in the limit point case
JF - Linear Algebra and its Applications
VL - 634
IS - February
SP - 179-209
EP - 179-209
PB - Elsevier
SN - 00243795
KW - Discrete symplectic system
KW - Spectrum
KW - Eigenvalue
KW - Limit point case
KW - M(λ)-function
UR - https://doi.org/10.1016/j.laa.2021.11.001
N2 - The spectrum of an arbitrary self-adjoint extension of the minimal linear relation associated with the discrete symplectic system in the limit point case is completely characterized by using the limiting Weyl–Titchmarsh M+(λ) -function. Furthermore, a dependence of the spectrum on a boundary condition is investigated and, consequently, several results of the singular Sturmian theory are derived.
ER -
ZEMÁNEK, Petr. Resolvent and spectrum for discrete symplectic systems in the limit point case. \textit{Linear Algebra and its Applications}. Elsevier, roč.~634, February, s.~179-209. ISSN~0024-3795. doi:10.1016/j.laa.2021.11.001. 2022.
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