# Dispersion estimates for spherical Schrödinger equations with critical angular momentum

• ### Markus Holzleitner

Universität Wien, Austria
• ### Aleksey Kostenko

Universität Wien, Austria
• ### Gerald Teschl

Universität Wien, Austria and Erwin Schrödinger Institut, Wien, Austria

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## Abstract

We derive a dispersion estimate for one-dimensional perturbed radial Schrödinger operators, where the angular momentum takes the critical value $l = –1/2$. We also derive several new estimates for solutions of the underlying differential equation and investigate the behavior of the Jost function near the edge of the continuous spectrum.