# Low frequency dispersive estimates for the Schrodinger group in higher dimensions

## TL;DR

This paper establishes low frequency dispersive estimates for the Schrödinger group in higher dimensions, broadening the class of potentials for which these estimates are valid, and corrects a previous proof mistake.

## Contribution

It extends dispersive estimates for the Schrödinger group to a larger class of potentials in dimensions four and above, improving prior results.

## Key findings

- Dispersive estimates are proven for low frequency Schrödinger groups in high dimensions.
- The class of admissible potentials is expanded beyond previous work.
- A correction is made to a previous proof in the literature.

## Abstract

We prove dispersive estimates for the low frequency part of the Schrodinger group for a large class of potentials in dimensions greater or equal to four. As a consequence, we extend the result of Journe, Sofer and Sogge to a larger class of potentials. In this revised version a mistake in the proof of the estimate (B.4) is removed.