| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5778393 | Advances in Mathematics | 2017 | 36 Pages |
Abstract
We generalize the Lp 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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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Rupert L. Frank, Julien Sabin,