The Stein-Tomas inequality under the effect of symmetries

Rainer Mandel, Diogo Oliveira e Silva

We prove new Fourier restriction estimates to the unit sphere $S^{d-1}$ on the class of $O(d-k)\times O(k)$-symmetric functions, for every $d\ge 4$ and $2\le k\le d-2$. As an ap…