Exceptional sequences of eigenfunctions for hyperbolic manifolds
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- by Harold Donnelly PDF
- Proc. Amer. Math. Soc. 135 (2007), 1551-1555 Request permission
Abstract:
Examples are given of hyperbolic manifolds in every dimension at least five which support sequences of eigenfunctions for the Laplacian whose $L^{\infty }$-norms grow as a power of the eigenvalue while their $L^2$-norms are one.References
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Additional Information
- Harold Donnelly
- Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
- Email: hgd@math.purdue.edu
- Received by editor(s): October 18, 2004
- Received by editor(s) in revised form: December 9, 2005
- Published electronically: November 13, 2006
- Additional Notes: The author was partially supported by NSF Grant 0203070-DMS
- Communicated by: Mikhail Shubin
- © Copyright 2006 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 135 (2007), 1551-1555
- MSC (2000): Primary 58J50, 58J53
- DOI: https://doi.org/10.1090/S0002-9939-06-08613-8
- MathSciNet review: 2276666