Spectral cluster bounds for orthonormal systems and oscillatory integral operators in Schatten spaces
2017
We generalize the L^p spectral cluster bounds of Sogge for the Laplace–Beltrami operator on compact Riemannian manifolds to systems of orthonormal functions. The optimality of these new bounds is also discussed. These spectral cluster bounds follow from Schatten-type bounds on oscillatory integral operators.
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