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

2023/05/29 by Dyatlov, Semyon
#Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2305.17857

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.

Related

• Fractal uncertainty in higher dimensions
• Fractal uncertainty principle over ℚ_p
• Fractal uncertainty principle for random Cantor sets
• Fractal Uncertainty Principle with Explicit Exponent
• The fractal uncertainty principle via Dolgopyat's method in higher dimensions