227 citations · 812 across the 43 of their papers we have counts for
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Dispersion Estimates for Spherical Schrödinger Equations with Critical Angular Momentum
Markus Holzleitner, Aleksey Kostenko, Gerald Teschl
We derive a dispersion estimate for one-dimensional perturbed radial Schrödinger operators where the angular momentum takes the critical value . We also derive seve…
Schrödinger Operators with -interactions in a Space of Vector-Valued Functions
Aleksey Kostenko, Mark Malamud, Daria Natiagailo
We study spectral properties of Schrödinger operators with -interactions on a semi-axis by using the theory of boundary triplets and the corresponding Weyl functions. We establi…
Jacobi Polynomials, Bernstein-type Inequalities and Dispersion Estimates for the Discrete Laguerre Operator
Tom Koornwinder, Aleksey Kostenko, Gerald Teschl
The present paper is about Bernstein-type estimates for Jacobi polynomials and their applications to various branches in mathematics. This is an old topic but we want to add a new…
Dispersion Estimates for Spherical Schrödinger Equations: The Effect of Boundary Conditions
Markus Holzleitner, Aleksey Kostenko, Gerald Teschl
We investigate the dependence of the dispersive estimates for one-dimensional radial Schrö\-din\-ger operators on boundary conditions at . In contrast to the c…