Averages of Eigenfunctions Over Hypersurfaces

Author:

Canzani Yaiza,Galkowski JeffreyORCID,Toth John A.

Funder

Canadian Network for Research and Innovation in Machining Technology, Natural Sciences and Engineering Research Council of Canada

French National Research Agency

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference18 articles.

1. Burq N., Gérard P., Tzvetkov N.: Restrictions of the Laplace–Beltrami eigenfunctions to submanifolds. Duke Math. J. 138(3), 445–486 (2007)

2. Christianson H., Hassell A., Toth J.A.: Exterior mass estimates and L2-restriction bounds for Neumann data along hypersurfaces. Int. Math. Res. Not. IMRN 2015(6), 1638–1665 (2015)

3. Chen X., Sogge C.D.: On integrals of eigenfunctions over geodesics. Proc. Am. Math. Soc. 143(1), 151–161 (2015)

4. Christianson H., Toth J.A., Zelditch S.: Quantum ergodic restriction for Cauchy data: interior QUE and restricted QUE. Math. Res. Lett. 20(3), 465–475 (2013)

5. Dyatlov, S., Zworski, M.: Mathematical theory of scattering resonances, Book in progress. http://math.mit.edu/dyatlov/res/ (2016). Accessed May 2016

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