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

• Autoři: ZEMÁNEK Petr
• Rok publikování: 2022
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Linear Algebra and its Applications
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• www: https://doi.org/10.1016/j.laa.2021.11.001
• Doi: http://dx.doi.org/10.1016/j.laa.2021.11.001
• Klíčová slova: Discrete symplectic system; Spectrum; Eigenvalue; Limit point case; M(?)-function
• Popis: 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.

Související projekty

• Nová oscilační teorie pro lineární hamiltonovské a symplektické systémy