标题： 连续线性Canonical Dunkl小波变换：性质与应用 显示英文标题

标题： Continous linear canonical Dunkl wavelet transform: properties and applications

摘要： 本文的目的是建立并研究线性 canonical Dunkl 小波变换。我们首先介绍线性 canonical Dunkl 变换的广义平移算子和广义卷积积分为，并建立它们的基本性质。接下来，我们引入新的建议的小波变换，并研究其基本性质。最后，我们推导出一些不确定性不等式作为所需小波变换的应用。 显示英文摘要

摘要： The aim of this paper is to establish and study the linear canonical Dunkl wavelet transform. We begin by introducing the generalized translation operator and generalized convolution product for the linear canonical Dunkl transform and we establish their basic properties. Next, we introduce the new proposed wavelet transform and we investigate its fundamentals properties. In the end, we derive some uncertainty inequalities for the desired wavelet transform as applications.