Orthogonal polynomials on the real line (OPRL) were developed in the nineteenth century
and orthogonal polynomials on the unit circle (OPUC) were initially developed around 1920 …

The main purpose of this paper is to investigate the formal deficiency indices N±of a
symmetric first-order system [Formula: see text] on an interval I, where I= R or I= R±. Here J …

We explicitly determine the high-energy asymptotics for Weyl–Titchmarsh matrices
associated with general Dirac-type operators on half-lines and on $\mathbb {R} $. We also …

The spectral properties of Dirac operators on $(0, 1) $ with potentials that belong entrywise
to $ L_p (0, 1) $, for some $ p\in [1,\infty) $, are studied. The algorithm of reconstruction of the …

On Weyl–Titchmarsh theory for singular finite difference Hamiltonian systems - ScienceDirect
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Borg-type uniqueness theorems for matrix-valued Jacobi operators H and supersymmetric
Dirac difference operators D are proved. More precisely, assuming reflectionless matrix …

A self-adjoint first-order system with Hermitian π-periodic potential Q (z), integrable on
compact sets, is considered. It is shown that all zeros of are double zeros if and only if this …

This largely self-contained treatment surveys, unites and extends some 20 years of research
on direct and inverse problems for canonical systems of integral and differential equations …

We discuss inverse spectral theory for singular differential operators on arbitrary intervals
$(a, b)\subseteq\mathbb {R} $ associated with rather general differential expressions of the …

Inverse spectral problems are studied for the non-self-adjoint matrix Sturm–Liouville
differential equation on a finite interval. We give formulations of the inverse problems, prove …