3 papers
math.FA2024
Discrete Quaternionic (Multi-window) Gabor Systems
Najib Khachiaa
The aim of this work is to study (Multi-window) Gabor systems in the space \(\ell^2(\mathbb{Z} \times \mathbb{Z}, \mathbb{H})\), denoted by , and defined by:…
math.FA2024
Results on Continuous -frames for Quaternionic (Super) Hilbert Spaces
Najib Khachiaa
This paper aims to explore the concept of continuous \( K \)-frames in quaternionic Hilbert spaces. First, we investigate \( K \)-frames in a single quaternionic Hilbert space \( \…
math.FA2024
On -frames for Quaternionic Hilbert Spaces
Najib Khachiaa
The aim of this paper is to study -frames for quaternionic Hilbert spaces. First, we present the quaternionic version of Douglas's theorem and then investigate -frames for a…