  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 cone-hyper-surface and its generalisation to the
family of orthonormal functions. As an application of this restriction theorem,
we derive the Strichartz inequality associated with the square root of Dunkl
Laplacian for the family of orthonormal functions.
