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math.SP2019
Canonical systems with discrete spectrum
Roman Romanov, Harald Woracek
We study spectral properties of two-dimensional canonical systems , , where the Hamiltonian is locally integrable on , positive semidefinite…
math.SP2015
Order problem for canonical systems and a conjecture of Valent
Roman Romanov
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 app…