Ben Krause

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20152023

most citedMultiplicative LSTM for sequence modelling

86 citations · 286 across the 17 of their papers we have counts for

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math.CA2022

Discrete Analogues in Harmonic Analysis: A Theorem of Stein-Wainger

Ben Krause

For $d \geq 2, D \geq 1$ , let $P_{d, D}$ denote the set of all degree $d$ polynomials in $D$ dimensions with real coefficients without linear terms. We prove that for an…

math.CA2021★ 1 cited

Discrete analogues of maximally modulated singular integrals of Stein-Wainger type: $ℓ^{p}$ bounds for $p > 1$

Ben Krause, Joris Roos

It is proved that certain discrete analogues of maximally modulated singular integrals of Stein-Wainger type are bounded on $ℓ^{p} (Z^{n})$ for all $p \in (1, \infty)$ . This e…

math.CA2019★ 3 cited

Discrete analogues of maximally modulated singular integrals of Stein-Wainger type

Ben Krause, Joris Roos

Consider the maximal operator $$\mathscr{C} f(x) = \sup_{λ\in\mathbb{R}}\Big|\sum_{\substack{y\in\mathbb{Z}^n\setminus\{0\}}} f(x-y) e(λ|y|^{2d}) K(y)\Big|,\quad (x\in\mathbb{Z}^n)…

Discrete Analogues in Harmonic Analysis: A Theorem of Stein-Wainger

Discrete analogues of maximally modulated singular integrals of Stein-Wainger type: ℓp bounds for p>1

Discrete analogues of maximally modulated singular integrals of Stein-Wainger type

Discrete analogues of maximally modulated singular integrals of Stein-Wainger type: $ℓ^{p}$ bounds for $p > 1$