Products of quasimodes on compact manifolds can be approximated in H^{-1} and L2 norms by low-degree spectral subspaces with explicit dimension bounds, assuming the stated higher-dimensional bilinear estimate is repaired.
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Approximating Pointwise Products of Quasimodes
Products of quasimodes on compact manifolds can be approximated in H^{-1} and L2 norms by low-degree spectral subspaces with explicit dimension bounds, assuming the stated higher-dimensional bilinear estimate is repaired.