A uniqueness result for the Fourier transform of measures on the paraboloid

Francisco Javier González Vieli

A finite measure supported by a paraboloid of revolution $\Sigma$ in $\Bbb R^3$ and absolutely continuous with respect to the natural measure on $\Sigma$ is entirely determined by the restriction of its Fourier transform to a plane if and only if this plane is normal to the axis of $\Sigma$.