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math.CA2022
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…
math.CA2022
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…
math.CA2022
Strichartz inequality for orthonormal functions associated with Dunkl Laplacian and Hermite-Schrödinger operators
P Jitendra Kumar Senapati, Pradeep Boggarapu
Strichartz inequality for the solutions of free Schrödinger equation associated with Dunkl Hermite operator is generalized to any system of orthonormal functions with initial…