A Riesz basis criterion for Schrödinger operators with boundary conditions dependent on the eigenvalue parameter

Abstract

We establish a criterion for a set of eigenfunctions of the one-dimensional Schrödinger operator with distributional potentials and boundary conditions containing the eigenvalue parameter to be a Riesz basis for ${\mathcal{L}}_2(0,\pi )$.

7 pages, no figures, submitted

References in corpus (1)

• Inverse eigenvalue problems for Sturm-Liouville equations with spectral parameter linearly contained in one of the boundary conditions

Cited by in corpus (4)

• Inverse square singularities and eigenparameter dependent boundary conditions are two sides of the same coin
• Spectral identities for Schrödinger operators
• Contact interactions, self-adjoint extensions, and low-energy scattering
• Regularization of energy-dependent pointlike interactions in 1D quantum mechanics