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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(…
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…