3 papers
cs.LO2026
Convex algebras on an interval with semicontinuous monotone operations
Ana Sokolova, Harald Woracek
In a recent work of Matteo Mio on compact quantitative equational theories (here compact means that all its consequences are derivable by means of finite proofs) convex algebras on…
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…