Joseph Slote

activity

20212026

collaborators

Showing math.CAShow all

2 papers · 1 filter

math.CA2026

Polynomial Bohnenblust--Hille bounds for product of cyclic groups

Joseph Slote, Alexander Volberg

Fix an integer $K \geq 2$ , and let $C_{K}^{n} = {(e^{\frac{2 π ij}{K}})_{j = 0}^{K - 1}}^{n}$ be the product of cyclic groups of order $K$ . For a Fourier character $χ_{α}$ , let $s (α)$ be the numbe…

math.CA2023

A dimension-free discrete Remez-type inequality on the polytorus

Joseph Slote, Alexander Volberg, Haonan Zhang

Consider $f : Ω_{K}^{n} \to C$ a function from the $n$ -fold product of multiplicative cyclic groups of order $K$ . Any such $f$ may be extended via its Fourier expansion to an an…