On sharp Fourier extension from spheres in arbitrary dimensions

We prove a new family of sharp $L^2({\mathbb{S}}^{d-1})\to L^4({\mathbb{R}}^d)$ Fourier extension inequalities from the unit sphere ${\mathbb{S}}^{d-1}\subset {\mathbb{R}}^d$, valid in arbitrary dimensions $d\ge 3$.