Quaternion and Clifford Fourier Transforms describes the development of quaternion and
Clifford Fourier transforms in Clifford (geometric) algebra over the last 30 years. It is the first …

This paper derives a new directional uncertainty principle for quaternion valued functions
subject to the quaternion Fourier transformation. This can be generalized to establish …

We investigate the 2D quaternion windowed linear canonical transform (QWLCT) in this
paper. Firstly, we propose the new definition of the QWLCT, and then several important …

Based on the relationship between the Fourier transform (FT) and linear canonical transform
(LCT), a logarithmic uncertainty principle and Hausdorff–Young inequality in the LCT …

In this paper, we introduce the two‐dimensional short‐time quaternion offset linear
canonical transform (ST‐QOLCT), which is a generalization of the classical short‐time offset …

In this paper, we investigate the (two-sided) quaternion windowed linear canonical transform
(QWLCT) and study the uncertainty principles associated with the QWLCT. First, several …

In this paper we introduce the continuous quaternion wavelet transform (CQWT). We
express the admissibility condition in terms of the (right-sided) quaternion Fourier transform …

The quaternion Fourier transforms are powerful tools in modern data analysis, in particular
for color image processing. At present, there are mainly three different quaternion Fourier …

The development of hypercomplex Fourier transforms and wavelets has taken place in
several different threads, reflected in the overview of the subject presented in this chapter …

The octonion Fourier transform (OFT) is a useful tool for signal processing and analysis.
However, due to the lack of time localization information, it is not suitable for processing …