Extensions of Autocorrelation Inequalities with Applications to Additive Combinatorics

Sara Fish, Dylan King, Steven J. Miller

In a 2019 paper, Barnard and Steinerberger show that for $f\in L^1(\mathbf{R})$, the following autocorrelation inequality holds: \begin{equation*} \min_{0 \leq t \leq 1} \int_\math…