22 citations · 43 across the 11 of their papers we have counts for
13 papers
Fourier restriction and well-approximable numbers
Robert Fraser, Kyle Hambrook, Donggeun Ryou
We use a deterministic construction to prove the optimality of the exponent in the Mockenhaupt-Mitsis-Bak-Seeger Fourier restriction theorem for dimension and parameter range…
Non-Salem sets in metric Diophantine approximation
Kyle Hambrook, Han Yu
A classical result of Kaufman states that, for each the set of well approximable numbers \[ E(τ)=\{x\in\mathbb{R}: \|qx\| < |q|^{-τ} \text{ for infinitely many integers q}\}…
DAEs for Linear Inverse Problems: Improved Recovery with Provable Guarantees
Jasjeet Dhaliwal, Kyle Hambrook
Generative priors have been shown to provide improved results over sparsity priors in linear inverse problems. However, current state of the art methods suffer from one or more of…
Explicit Salem sets in
Robert Fraser, Kyle Hambrook
We construct the first explicit (i.e., non-random) examples of Salem sets in of arbitrary prescribed Hausdorff dimension. This completely resolves a problem proposed…
Recovery Guarantees for Compressible Signals with Adversarial Noise
Jasjeet Dhaliwal, Kyle Hambrook
We provide recovery guarantees for compressible signals that have been corrupted with noise and extend the framework introduced in \cite{bafna2018thwarting} to defend neural networ…
Measure and Dimension of Sums and Products
Kyle Hambrook, Krystal Taylor
We investigate the Lebesgue measure, Hausdorff dimension, and Fourier dimension of sets of the form where and . We…