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math.CA2025
Uncertainty principles associated with the linear canonical Dunkl transform
Umamaheswari S, Sandeep Kumar Verma
In this paper, we establish analogs of Miyachi, Cowling-Price, and Heisenberg-Pauli-Weyl uncertainty principles in the framework of the linear canonical Dunkl transform. We also ob…
math.CA2025
Real Paley-Wiener theorems for the linear canonical Dunkl transform
Umamaheswari S, Sandeep Kumar Verma, Hatem Mejjaoli
We examine the Sobolev space associated with the linear canonical Dunkl transform and explore some properties of the linear canonical Dunkl operators. Building on these results, we…