2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159434We deal with the restriction phenomenon for the Fourier transform. We prove that each of the restriction conjectures for the sphere, the paraboloid, the elliptic hyperboloid in $\mathbb{R}^n$ implies that for the cone in $\mathbb{R}^{n+1}$. We also prove a new restriction estimate for any surface in $\mathbb{R}^3$ locally isometric to the plane and of finite type.13 pages, Proceedings of the Edinburgh Mathematical Society, to appearClassical Analysis and ODEsAnalysis of PDEs42B10text