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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…
Restriction theorem for Fourier-Dunkl transform II: Paraboloid, sphere, and hyperboloid surfaces
P Jitendra Kumar Senapati, Pradeep Boggarapu, Shyam Swarup Mondal +1
This is a continuation of the paper "Restriction theorem for Fourier-Dunkl transform I: Cone surface, J. Pseudo-Differ. Oper. Appl. 14(1), Paper No. 5 (2023)", where the authors in…
Restriction theorem for the Fourier-Dunkl transform I: Cone surface
P Jitendra Kumar Senapati, Pradeep Boggarapu, Shyam Swarup Mondal +1
In this article, we define the Fourier-Dunkl transform, which generalizes the Fourier transform. We prove Strichartz's restriction theorem for the Fourier-Dunkl transform for a con…