Introduces generalized translation and convolution for the dunkl wavelet transform, highlighting applications.
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.
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Saoudi et al. (2025) studied this question.
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