Multilinear eigenfunction estimates for the Laplace spectral projectors on compact manifolds

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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.
6 pages

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Analysis of PDEs, Spectral Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/68722

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310018
 http://arxiv.org/abs/math/0310018

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arXiv