Multilinear eigenfunction estimates for the Laplace spectral projectors on compact manifolds
classification
🧮 math.AP
math.SP
keywords
compactdimensionestimateslaplacebilinearboundaryeigenfunctioneigenfunctions
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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.
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