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Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces
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🧮 math.CA
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curvedinequalitiesmomentdiscretedistributionaleigenfunctionsestablishestablished
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Using the multilinear theory of oscillatory integral operators, we establish a square function inequality with implications to moment inequalities for discrete exponential sums which frequencies lie on curved hyper-surfaces. In particular a new distributional estimate for toral eigenfunctions is established.
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