arXiv Open Access 2015

Order problem for canonical systems and a conjecture of Valent

Roman Romanov

Lihat Sumber

Abstrak

We establish a sharp upper estimate for the order of a canonical system in terms of the Hamiltonian. This upper estimate becomes an equality in the case of Krein strings. As an application we prove a conjecture of Valent about the order of a certain class of Jacobi matrices with polynomial coefficients.

Topik & Kata Kunci

math.SP math-ph

Penulis (1)

Roman Romanov

Format Sitasi

APA MLA BibTeX

Romanov, R. (2015). Order problem for canonical systems and a conjecture of Valent. https://arxiv.org/abs/1502.04402

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2015
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓