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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math.SP2022

A growth estimate for the monodromy matrix of a canonical system

Raphael Pruckner, Harald Woracek

We investigate the spectrum of 2-dimensional canonical systems in the limit circle case. It is discrete and, by the Krein-de Branges formula, cannot be more dense than the integers…

math.SP2022★ 2 cited

Canonical systems whose Weyl coefficients have regularly varying asymptotics

Matthias Langer, Raphael Pruckner, Harald Woracek

For a two-dimensional canonical system $y^{'} (t) = z J H (t) y (t)$ on an interval $(0, L)$ with $0 < L \leq \infty$ whose Hamiltonian $H$ is a.e.\ positive semidefinite, denote by $q_{H}$ its Weyl…

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.SP2017

Density of the spectrum of Jacobi matrices with power asymptotics

Raphael Pruckner

We consider Jacobi matrices $J$ whose parameters have the power asymptotics $ρ_{n} = n^{β_{1}} (x_{0} + \frac{x _{1}}{n} + O (n^{- 1 - ε}))$ and $q_n=n^{β_2} \left( y_0 + \frac{…

math.SP2015

Bounds on order of indeterminate moment sequences

Raphael Pruckner, Roman Romanov, Harald Woracek

We investigate the order $ρ$ of the four entire functions in the Nevanlinna matrix of an indeterminate Hamburger moment sequence. We give an upper estimate for $ρ$ which is explici…