Spectral cluster bounds for orthonormal systems and oscillatory integral operators in Schatten spaces

Frank, Rupert L. und Sabin, Julien (2017): Spectral cluster bounds for orthonormal systems and oscillatory integral operators in Schatten spaces. In: Advances in Mathematics, Bd. 317: S. 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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik > Analysis, Mathematische Physik und Numerik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0001-8708
• Sprache: Englisch