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math.SP2025
Canonical systems whose Weyl coefficients have regularly varying asymptotics
Matthias Langer, Raphael Pruckner, Harald Woracek
For a two-dimensional canonical system on an interval with whose Hamiltonian is a.e.\ positive semidefinite, denote by its Weyl…
math.SP2024
Eigenvalue distribution of canonical systems: trace class and sparse spectrum
Matthias Langer, Jakob Reiffenstein, Harald Woracek
In this paper we consider two-dimensional canonical systems with discrete spectrum and study their eigenvalue densities. We develop a formula that determines the Stieltjes transfor…