Fractal uncertainty in higher dimensions: notes on Cohen's paper

Abstract

In [arXiv:2305.05022], Cohen proved a higher dimensional fractal uncertainty principle for line porous sets. The purpose of this expository note is to provide a different point of view on some parts of Cohen's proof, particularly suited to readers familiar with the theory of distributions. It is meant to be complementary to Cohen's paper.

arXiv comment21 pages, 2 figures