1 citations · 2 across the 6 of their papers we have counts for
6 papers
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…
Nonuniform Multiresolution Analysis Associated with Linear Canonical Transform
Firdous A. Shah, Waseem Z. Lone
The linear canonical transform (LCT) has attained respectable status within a short span and is being broadly employed across several disciplines of science and engineering includi…
Hypoelliptic Dunkl equations in the space of distributions on
Hatem Mejjaoli
In this paper we define and study the Dunkl convolution product and the Dunkl transform on spaces of distributions on . By using the main results obtained, we study…
Real Paley-Wiener theorems for the Dunkl transform on Rd
Hatem Mejjaoli, Khalifa Trimèche
In this paper, we establish real Paley-Wiener theorems for the Dunkl transform on Rd. More precisely, we characterize the functions in the Schwartz space S(IRd) and in L2k(Rd) whos…