15 citations · 16 across the 2 of their papers we have counts for
2 papers
math.CA2019★ 1 cited
Averages Along the Primes: Improving and Sparse Bounds
Rui Han, Ben Krause, Michael Lacey +1
Consider averages along the prime integers given by \begin{equation*} \mathcal{A}_N f (x) = N ^{-1} \sum_{ p \in \mathbb P \;:\; p\leq N} (\log p) f (x-p). \end{equat…
math.CA2018★ 15 cited
A higher dimensional Bourgain-Dyatlov fractal uncertainty principle
Rui Han, Wilhelm Schlag
We establish a version of the fractal uncertainty principle, obtained by Bourgain and Dyatlov in 2016, in higher dimensions. The Fourier support is limited to sets $Y\subset \mathb…