121 citations · 173 across the 4 of their papers we have counts for
4 papers
Inverse uniqueness results for one-dimensional weighted Dirac operators
Jonathan Eckhardt, Aleksey Kostenko, Gerald Teschl
Given a one-dimensional weighted Dirac operator we can define a spectral measure by virtue of singular Weyl-Titchmarsh-Kodaira theory. Using the theory of de Branges spaces we show…
Weyl-Titchmarsh Theory for Sturm-Liouville Operators with Distributional Potentials
Jonathan Eckhardt, Fritz Gesztesy, Roger Nichols +1
We systematically develop Weyl-Titchmarsh theory for singular differential operators on arbitrary intervals associated with rather general differential…
On the isospectral problem of the dispersionless Camassa-Holm equation
Jonathan Eckhardt, Gerald Teschl
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 measure. I…
On the connection between the Hilger and Radon--Nikodym derivatives
Jonathan Eckhardt, Gerald Teschl
We show that the Hilger derivative on time scales is a special case of the Radon--Nikodym derivative with respect to the natural measure associated with every time scale. Moreover,…