arXiv Open Access 2024

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

Petr Zemánek

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.SP math.CA

Penulis (1)

Petr Zemánek

Format Sitasi

APA MLA BibTeX

Zemánek, P. (2024). Resolvent and spectrum for discrete symplectic systems in the limit point case. https://arxiv.org/abs/2412.16756

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓