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Curved Ingham Inequalities for Dispersive Trigonometric Sums
We study $L^2$ restrictions of dispersive trigonometric sums $$ F(t,x)=\sum_{n\in\Z} c_n e^{2πi(|n|^s t+nx)} $$ to curves in the $(t,x)$-plane. Our main result is a curved analogue of Ingham's inequality: for a class of trajectories satisfying quantitative curvature assumptions, we obtain upper and
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