Fourier integral operators, fractal sets and the regular value theorem

Suresh Eswarathasan, Alex Iosevich, Krystal Taylor

We prove that if $\mathcal{E}\subset {\mathbb{R}}^{2d}$, $d\ge 2$, is an Ahlfors-David regular product set of sufficiently large Hausdorff dimension, denoted by $dim_{\mathcal H}({\…