# Local uncertainty principles for the two-sided Gabor quaternion Fourier transform

## TL;DR

This paper establishes local uncertainty principles for the Gabor quaternion Fourier transform, extending time-frequency analysis tools to quaternion-valued signals with new concentration bounds.

## Contribution

It introduces a version of Benedicks-type uncertainty principle and local concentration principles specifically for the GQFT, advancing quaternion signal analysis.

## Key findings

- Proves a Benedicks-type uncertainty principle for GQFT
- Establishes local concentration uncertainty principles for GQFT
- Extends time-frequency analysis to quaternion signals

## Abstract

By the important applications of Gabor transform in time-frequency analysis and signal analysis, in this paper, we consider the Gabor quaternion Fourier transform (GQFT), and we prove of it a version Benedicks-type uncertainty principle for GQFT and some local concentration uncertainty principles.