Frank, Rupert L.
ORCID: https://orcid.org/0000-0001-7973-4688 and Sabin, Julien
(2017):
Spectral cluster bounds for orthonormal systems and oscillatory integral operators in Schatten spaces.
In: Advances in Mathematics, Vol. 317: pp. 157-192
Abstract
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.
| Item Type: | Journal article |
|---|---|
| Faculties: | Mathematics, Computer Science and Statistics > Mathematics > Analysis, Mathematical Physics and Numerics |
| Subjects: | 500 Science > 510 Mathematics |
| ISSN: | 0001-8708 |
| Language: | English |
| Item ID: | 53454 |
| Date Deposited: | 14. Jun 2018, 09:53 |
| Last Modified: | 13. Aug 2024, 12:42 |
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