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Multilinear eigenfunction estimates for the Laplace spectral projectors on compact manifolds

N. Burq·P. Gerard·N. Tzvetkov
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Abstract

The purpose of this note is to extend to any space dimension the bilinear estimate for eigenfunctions of the Laplace operator on a compact manifold (without boundary) obtained in a previous work in dimension 2. We also give some related trilinear estimates.

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N. Burq, P. Gerard, N. Tzvetkov. 2003-10-02. Multilinear eigenfunction estimates for the Laplace spectral projectors on compact manifolds. https://arxiv.org/abs/math/0310018

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