30 citations · 131 across the 19 of their papers we have counts for
20 papers
Asymptotics of the spectral data of perturbed Stark operators in the half-line with mixed boundary conditions
Julio H. Toloza, Alfredo Uribe
We obtain sharp asymptotic formulas for the eigenvalues and norming constants of Sturm-Liouville operators associated with the differential expression \[ -\frac{d^2}{dx^2} + x + q(…
Oversampling on a class of symmetric regular de Branges spaces
Luis O. Silva, Julio H. Toloza
A de Branges space is regular if the constants belong to its space of associated functions and is symmetric if it is isometrically invariant under the map $F(z) \mapst…
The Dirichlet problem for perturbed Stark operators in the half-line
Julio H. Toloza, Alfredo Uribe
We consider the perturbed Stark operator , , in , where is a real-valued function that belongs to $\mathfrak{A}_r =\left\{ q\i…
One-dimensional Stark operators in the half-line
Julio H. Toloza, Alfredo Uribe
We obtain asymptotic formulas for the spectral data of perturbed Stark operators associated with the differential expression \[ -\frac{d^2}{dx^2} + x + q(x), \quad x\in [0,\infty),…
Oversampling and aliasing in de Branges spaces arising from Bessel operators
Julio H. Toloza, Alfredo Uribe
We show that a class of de Branges spaces, generated by means of generalized Fourier transforms associated with perturbed Bessel differential equations, has the properties of overs…
Point mass perturbations of spectral measures
Rafael del Rio, Luis O. Silva, Julio H. Toloza
Using a generalization of the moment problem and the extremal properties of spectral measures corresponding to the selfadjoint extensions of a regular symmetric operator, we study…