# Qualitative uncertainty principle for Gabor transform on certain locally compact groups

## TL;DR

This paper investigates the qualitative uncertainty principle for the Gabor transform across specific classes of locally compact groups, including Moore groups, Heisenberg groups, and certain nilpotent Lie groups.

## Contribution

It extends the understanding of the qualitative uncertainty principle for Gabor transforms to new classes of locally compact groups, broadening its theoretical scope.

## Key findings

- Uncertainty principle holds for Moore groups.
- Results established for Heisenberg groups and their products.
- Applicable to certain low-dimensional nilpotent Lie groups.

## Abstract

Classes of locally compact groups having qualitative uncertainty principle for Gabor transform have been investigated. These include Moore groups, Heisenberg Group $\mathbb{H}_n, \mathbb{H}_{n} \times D,$ where $D$ is discrete group and other low dimensional nilpotent Lie groups.