R. Pruckner

activity

20152023

most citedCanonical systems whose Weyl coefficients have regularly varying asymptotics

2 citations · 2 across the 6 of their papers we have counts for

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Showing 2021Show all

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math.SP2021

Canonical systems whose Weyl coefficients have dominating real part

Matthias Langer, Raphael Pruckner, Harald Woracek

For a two-dimensional canonical system $y^{'} (t) = z J H (t) y (t)$ on the half-line $(0, \infty)$ whose Hamiltonian $H$ is a.e. positive semi-definite, denote by $q_{H}$ its Weyl coefficient.…

math.FA2021

Limit behaviour of Weyl coefficients

Raphael Pruckner, Harald Woracek

We study the sets of radial or nontangential limit points towards $i \infty$ of a Nevanlinna function q. Given a nonempty, closed, and connected subset L of $C_{+}$ , we explicitly co…

math-ph2021

Estimates for the Weyl coefficient of a two-dimensional canonical system

Matthias Langer, Raphael Pruckner, Harald Woracek

For a two-dimensional canonical system $y^{'} (t) = z J H (t) y (t)$ on some interval $(a, b)$ whose Hamiltonian $H$ is a.e. positive semi-definite and which is regular at $a$ and in the limit…