Inverse uniqueness results for Schrödinger operators using de Branges theory

Abstract

We utilize the theory of de Branges spaces to show when certain Schrödinger operators with strongly singular potentials are uniquely determined by their associated spectral measure. The results are applied to obtain an inverse uniqueness theorem for perturbed spherical Schrödinger operators.

11 pages

References in corpus (2)

• On the Singular Weyl-Titchmarsh Function of Perturbed Spherical Schroedinger Operators
• Inverse Eigenvalue Problems for Perturbed Spherical Schroedinger Operators

Cited by in corpus (5)

• On the isospectral problem of the dispersionless Camassa-Holm equation
• Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators
• On Spectral Deformations and Singular Weyl Functions for One-Dimensional Dirac Operators
• Direct and inverse spectral theorems for a class of canonical systems with two singular endpoints
• Singular Schroedinger operators as self-adjoint extensions of n-entire operators