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This paper develops a comprehensive framework of uncertainty principles for the linear canonical Dunkl transform (LCDT) in the multidimensional setting. Motivated by classical results for the Fourier, Hankel, and Dunkl transforms, we establish sharp qualitative and quantitative uncertainty inequalities that describe the simultaneous spatial and spectral localization of functions in Lk2(RN).
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Ghobber et al. (2026) studied this question.
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