Publication details

Resolvent and spectrum for discrete symplectic systems in the limit point case

Investor logo


Year of publication 2022
Type Article in Periodical
Magazine / Source Linear Algebra and its Applications
MU Faculty or unit

Faculty of Science

Keywords Discrete symplectic system; Spectrum; Eigenvalue; Limit point case; M(?)-function
Description 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+(?) -function. Furthermore, a dependence of the spectrum on a boundary condition is investigated and, consequently, several results of the singular Sturmian theory are derived.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.

More info