Maxim Gilula

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20182021

most citedA Class of Simple Rearrangements of the Alternating Harmonic Series

1 citations · 1 across the 1 of their papers we have counts for

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math.CA2019

Oscillatory Loomis-Whitney and Projections of Sublevel Sets

Maxim Gilula, Kevin O'Neill, Lechao Xiao

We consider an oscillatory integral operator with Loomis-Whitney multilinear form. The phase is real analytic in a neighborhood of the origin in $R^{d}$ and satisfies a nond…

math.CA2018

$ℓ^{2}$ Decoupling in $R^{2}$ for curves with Vanishing Curvature

Chandan Biswas, Maxim Gilula, Linhan Li +2

We expand the class of curves $(φ_{1} (t), φ_{2} (t)), t \in [0, 1]$ for which the $ℓ^{2}$ decoupling conjecture holds for $2 \leq p \leq 6$ . Our class of curves includes all real-analytic r…

Oscillatory Loomis-Whitney and Projections of Sublevel Sets

ℓ2 Decoupling in R2 for curves with Vanishing Curvature

$ℓ^{2}$ Decoupling in $R^{2}$ for curves with Vanishing Curvature