Tomographic Fourier Extension Identities for Submanifolds of ${\mathbb{R}}^n$

Jonathan Bennett, Shohei Nakamura, Shobu Shiraki

We establish identities for the composition $T_{k,n}(|\widehat{gd\sigma }{|}^2)$, where $g\mapsto \widehat{gd\sigma }$ is the Fourier extension operator associated with a general smooth $k$-dime…