Corrigendum to "A perturbation of the Dunkl harmonic oscillator on the line", arXiv:1412.4655

TL;DR

This paper provides corrections and improvements to a previous work on the Dunkl harmonic oscillator, refining estimates and methods used in the original theorem.

Contribution

It corrects and enhances the main theorem of the prior paper by improving estimates and introducing additional methods.

Findings

Corrected the second main theorem from the previous paper.

Improved estimates related to the Dunkl harmonic oscillator.

Enhanced methodological approaches for the theorem's proof.

Abstract

We correct the second main theorem of the previous paper "A perturbation of the Dunkl harmonic oscillator on the line", by the first two authors. The corrections concern mainly certain estimates, which were also improved by adding more methods.