1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
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…
An upper bound for the Nevanlinna matrix of an indeterminate moment sequence
Raphael Pruckner, Jakob Reiffenstein, Harald Woracek
The solutions of an indeterminate Hamburger moment problem can be parameterised using the Nevanlinna matrix of the problem. The entries of this matrix are entire functions of minim…
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…
Higher-order interlacing for matrix-valued meromorphic Herglotz functions
Jakob Reiffenstein
Scalar-valued meromorphic Herglotz-Nevanlinna functions are characterized by the interlacing property of their poles and zeros together with some growth properties. We give a chara…