56 citations · 549 across the 34 of their papers we have counts for
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Direct and inverse spectral theory of singular left-definite Sturm-Liouville operators
Jonathan Eckhardt
We discuss direct and inverse spectral theory of self-adjoint Sturm-Liouville relations with separated boundary conditions in the left-definite setting. In particular, we develop s…
Uniqueness Results for Schroedinger Operators on the Line with Purely Discrete Spectra
Jonathan Eckhardt, Gerald Teschl
We provide an abstract framework for singular one-dimensional Schroedinger operators with purely discrete spectra to show when the spectrum plus norming constants determine such an…
Inverse uniqueness results for Schrödinger operators using de Branges theory
Jonathan Eckhardt
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…
Sturm-Liouville operators on time scales
Jonathan Eckhardt, Gerald Teschl
We establish the connection between Sturm-Liouville equations on time scales and Sturm--Liouville equations with measure-valued coefficients. Based on this connection we generalize…
Sturm-Liouville operators with measure-valued coefficients
Jonathan Eckhardt, Gerald Teschl
We give a comprehensive treatment of Sturm-Liouville operators with measure-valued coefficients including, a full discussion of self-adjoint extensions and boundary conditions, res…