Add to ORKGAbstract. Based on continuity properties of the de Branges correspondence, we develop a new approach to study the high-energy behavior of Weyl–Titch-marsh and spectral functions of 2×2 first order canonical systems. Our results improve several classical results and solve open problems posed by previous authors. Furthermore, they are applied to radial Dirac and radial Schrödinger operators as well as to Krein strings and generalized indefinite strings. 1
In this paper we consider a one-dimensional Dirac operator with a periodic potential of Gevrey class...
Abstract. We investigate the connection between singular Weyl–Titchmarsh– Kodaira theory and the dou...
Dedicated with great pleasure to Israel Samoilovich Kac on the occasion of his 85th birthday. Abstra...
The theory of 2 × 2 trace-normed canonical systems of differential equations on R+ can be put in the...
The theory of 2 × 2 trace-normed canonical systems of differential equations on R+ can be put in the...
In this thesis, we study the problem of asymptotic spectral flow for a family of coupled Dirac opera...
We explicitly determine the high-energy asymptotics for Weyl-Titchmarsh matrices associated with gen...
The theory of 2 x 2 trace-normed canonical systems of differential equations on II { + can be put in...
Recently, a generalization to the Pontryagin space setting of the notion of canonical (Hamiltonian) ...
For a two-dimensional canonical system $y'(t)=zJH(t)y(t)$ on some interval $(a,b)$ whose Hamiltonian...
This is a review paper outlining recent progress in the spectral analysis of first order systems. We...
For a two-dimensional canonical system y'(t)=zJH(t)y(t) on the half-line (0, ∞) whose Hamiltonian H ...
Abstract. Given a one-dimensional weighted Dirac operator we can define a spectral measure by virtue...
We explore the sparsity of Weyl-Titchmarsh m-functions of discrete Schrodinger operators. Due to thi...
We study the spectral analysis of one-dimensional operators, motivated by a desire to understand thr...
In this paper we consider a one-dimensional Dirac operator with a periodic potential of Gevrey class...
Abstract. We investigate the connection between singular Weyl–Titchmarsh– Kodaira theory and the dou...
Dedicated with great pleasure to Israel Samoilovich Kac on the occasion of his 85th birthday. Abstra...
The theory of 2 × 2 trace-normed canonical systems of differential equations on R+ can be put in the...
The theory of 2 × 2 trace-normed canonical systems of differential equations on R+ can be put in the...
In this thesis, we study the problem of asymptotic spectral flow for a family of coupled Dirac opera...
We explicitly determine the high-energy asymptotics for Weyl-Titchmarsh matrices associated with gen...
The theory of 2 x 2 trace-normed canonical systems of differential equations on II { + can be put in...
Recently, a generalization to the Pontryagin space setting of the notion of canonical (Hamiltonian) ...
For a two-dimensional canonical system $y'(t)=zJH(t)y(t)$ on some interval $(a,b)$ whose Hamiltonian...
This is a review paper outlining recent progress in the spectral analysis of first order systems. We...
For a two-dimensional canonical system y'(t)=zJH(t)y(t) on the half-line (0, ∞) whose Hamiltonian H ...
Abstract. Given a one-dimensional weighted Dirac operator we can define a spectral measure by virtue...
We explore the sparsity of Weyl-Titchmarsh m-functions of discrete Schrodinger operators. Due to thi...
We study the spectral analysis of one-dimensional operators, motivated by a desire to understand thr...
In this paper we consider a one-dimensional Dirac operator with a periodic potential of Gevrey class...
Abstract. We investigate the connection between singular Weyl–Titchmarsh– Kodaira theory and the dou...
Dedicated with great pleasure to Israel Samoilovich Kac on the occasion of his 85th birthday. Abstra...