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arXiv · 1811.06852

Discretized Sum-product and Fourier decay in $\mathbb{R}^n$

Jialun Li
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Abstract

We generalize Bourgain's theorem on the decay of the Fourier transform of the multiplicative convolution of measures on $\mathbb R$ to the ring $\mathbb R^n$, where the multiplication is given by coordinate multiplication.

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Jialun Li. 2019-08-29. Discretized Sum-product and Fourier decay in $\mathbb{R}^n$. https://arxiv.org/abs/1811.06852

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