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arXiv · 1107.1129

Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces

Jean Bourgain
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Abstract

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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Jean Bourgain. 2011-07-06. Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces. https://arxiv.org/abs/1107.1129

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