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Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces

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Abstract

A new moment inequality is obtained for the eigenfunctions ϕ of the flat tours Πn. More specifically, it is known that the \(p = \frac{{2n}} {{n - 1}} \) is almost uniformaly bounded. Simillar results are established for the periodiec Schrödinger group.

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  1. Institute for Advanced Study, Princeton, NJ, 08540, USA

    J. Bourgain

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  1. J. Bourgain
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Bourgain, J. Moment inequalities for trigonometric polynomials with spectrum in curved hypersurfaces. Isr. J. Math. 193, 441–458 (2013). https://doi.org/10.1007/s11856-012-0077-1

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  • DOI: https://doi.org/10.1007/s11856-012-0077-1

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