We systematically develop Weyl-Titchmarsh theory for singular differential operators on
arbitrary intervals $(a, b)\subseteq\mathbb {R} $ associated with rather general differential …

We develop Weyl–Titchmarsh theory for Schrödinger operators with strongly singular
potentials such as perturbed spherical Schrödinger operators (also known as Bessel …

We discuss direct and inverse spectral theory for the isospectral problem of the
dispersionless Camassa–Holm equation, where the weight is allowed to be a finite signed …

We show that inverse square singularities can be treated as boundary conditions containing
rational Herglotz–Nevanlinna functions of the eigenvalue parameter with 'a negative number …

Building on work on Miura's transformation by Kappeler, Perry, Shubin, and Topalov, we
develop a detailed spectral theoretic treatment of Schrödinger operators with matrix-valued …

Based on continuity properties of the de Branges correspondence, we develop a new
approach to study the high-energy behavior of Weyl–Titchmarsh and spectral functions of 2× …

We provide an abstract framework for singular one-dimensional Schrödinger operators with
purely discrete spectra to show when the spectrum plus norming constants determine such …

Abstract We develop singular Weyl–Titchmarsh–Kodaira theory for one-dimensional Dirac
operators. In particular, we establish existence of a spectral transformation as well as local …

We find the high energy asymptotics for the singular Weyl–Titchmarsh m-functions and the
associated spectral measures of perturbed spherical Schrödinger operators (also known as …

We construct so called Darboux matrices and fundamental solutions in the important case of
the generalised Hamiltonian (or canonical) systems depending rationally on the spectral …