Resolvent and spectrum for discrete symplectic systems in the limit point case
Spectral Theory
2024-12-24 v1 Classical Analysis and ODEs
Abstract
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 -function. Furthermore, a dependence of the spectrum on a boundary condition is investigated and, consequently, several results of the singular Sturmian theory are derived.
Keywords
Cite
@article{arxiv.2412.16756,
title = {Resolvent and spectrum for discrete symplectic systems in the limit point case},
author = {Petr Zemánek},
journal= {arXiv preprint arXiv:2412.16756},
year = {2024}
}