ABSTRACT In this paper, we present some new elements of harmonic analysis related to the right-sided multivariate continuous quaternion wavelet transform. The main objective of this article is to introduce the concept of the right-sided multivariate continuous quaternion wavelet transform and investigate its different properties using the machinery of multivariate quaternion Fourier transform. Last, we have proven a number of uncertainty principles for the right-sided multivariate continuous quaternion wavelet transform.

中文翻译：

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右侧多元连续四元数小波变换的不确定性原理

摘要 在本文中，我们介绍了与右侧多元连续四元数小波变换相关的谐波分析的一些新元素。本文的主要目的是介绍右侧多元连续四元数小波变换的概念，并利用多元四元数傅里叶变换机制研究其不同性质。最后，我们证明了右侧多元连续四元数小波变换的一些不确定性原理。