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math.SP2025
Spectral properties of canonical systems: discreteness and distribution of eigenvalues
Jakob Reiffenstein, Harald Woracek
In this survey paper we review classical results and recent progress about a certain topic in the spectral theory of two-dimensional canonical systems. Namely, we consider the ques…
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…
math.SP2022
A quantitative formula for the imaginary part of a Weyl coefficient
Jakob Reiffenstein
We investigate two-dimensional canonical systems on an interval, with positive semi-definite Hamiltonian , such that limit circle case prevails at the left endpoint an…