English

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

Classical Analysis and ODEs 2023-05-30 v1 Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.2305.17857,
  title  = {Fractal uncertainty in higher dimensions: notes on Cohen's paper},
  author = {Semyon Dyatlov},
  journal= {arXiv preprint arXiv:2305.17857},
  year   = {2023}
}

Comments

21 pages, 2 figures

R2 v1 2026-06-28T10:48:53.276Z