We review recent developments in the theory of 1-D Schrödinger operators with local point
interactions on a discrete set. The progress in this area was stimulated by recent advances …

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

We investigate the singular Weyl–Titchmarsh m-function of perturbed spherical Schrödinger
operators (also known as Bessel operators) under the assumption that the perturbation q (x) …

We study the inverse spectral problem of reconstructing energy-dependent Sturm–Liouville
equations from their Dirichlet spectra and sequences of the norming constants. For the class …

We investigate the eigenvalues of perturbed spherical Schrödinger operators under the
assumption that the perturbation q (x) satisfies xq (x)∊ L 1 (0, 1). We show that the square …

We explore the connections between singular Weyl–Titchmarsh theory and the single and
double commutation methods. In particular, we compute the singular Weyl function of the …

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 …

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 solve the inverse problem of reconstructing radial Dirac and Schrödinger operators
acting in the unit ball of R3 from two spectra of their one-dimensional parts corresponding to …

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 …