Published September 7, 2017
| Submitted
Journal Article
Open
Spectral cluster bounds for orthonormal systems and oscillatory integral operators in Schatten spaces
- Creators
-
Frank, Rupert L.
- Sabin, Julien
Chicago
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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.
Additional Information
© 2017 Elsevier Inc. Received 30 August 2016, Revised 20 June 2017, Accepted 20 June 2017, Available online 10 July 2017. Partial support by U.S. National Science Foundation DMS-1363432 (R.L.F.) is acknowledged. J.S. would like to thank Nicolas Burq and Bernard Helffer for useful discussions.Attached Files
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Additional details
- Eprint ID
- 77072
- DOI
- 10.1016/j.aim.2017.06.023
- Resolver ID
- CaltechAUTHORS:20170428-155217715
- NSF
- DMS-1363432
- Created
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2017-04-28Created from EPrint's datestamp field
- Updated
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2023-10-25Created from EPrint's last_modified field