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Canonical systems whose Weyl coefficients have dominating real part
Matthias Langer, Raphael Pruckner, Harald Woracek
For a two-dimensional canonical system on the half-line whose Hamiltonian is a.e. positive semi-definite, denote by its Weyl coefficient.…
Nawrotzki's Algorithm for the Countable Splitting Lemma, Constructively
Ana Sokolova, Harald Woracek
We reprove the countable splitting lemma by adapting Nawrotzki's algorithm which produces a sequence that converges to a solution. Our algorithm combines Nawrotzki's approach with…
Limit behaviour of Weyl coefficients
Raphael Pruckner, Harald Woracek
We study the sets of radial or nontangential limit points towards of a Nevanlinna function q. Given a nonempty, closed, and connected subset L of , we explicitly co…
Estimates for the Weyl coefficient of a two-dimensional canonical system
Matthias Langer, Raphael Pruckner, Harald Woracek
For a two-dimensional canonical system on some interval whose Hamiltonian is a.e. positive semi-definite and which is regular at and in the limit…