| Frank, Rupert L.; 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 |
Full text not available from 'Open Access LMU'.
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 |
| Subjects: | 500 Science > 510 Mathematics |
| ISSN: | 0001-8708 |
| Language: | English |
| ID Code: | 53454 |
| Deposited On: | 14. Jun 2018 09:53 |
| Last Modified: | 04. Nov 2020 13:32 |
Repository Staff Only: item control page
