Discretized Sum-product and Fourier decay in $\mathbb{R}^n$
Classical Analysis and ODEs
2019-08-30 v2 Combinatorics
Abstract
We generalize Bourgain's theorem on the decay of the Fourier transform of the multiplicative convolution of measures on to the ring , where the multiplication is given by coordinate multiplication.
Cite
@article{arxiv.1811.06852,
title = {Discretized Sum-product and Fourier decay in $\mathbb{R}^n$},
author = {Jialun Li},
journal= {arXiv preprint arXiv:1811.06852},
year = {2019}
}
Comments
Minor change according to referee's report