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Exceptional sequences of eigenfunctions for hyperbolic manifolds
Author(s):
Harold
Donnelly
Journal:
Proc. Amer. Math. Soc.
135
(2007),
1551-1555.
MSC (2000):
Primary 58J50, 58J53
Posted:
November 13, 2006
MathSciNet review:
2276666
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Abstract:
Examples are given of hyperbolic manifolds in every dimension at least five which support sequences of eigenfunctions for the Laplacian whose  -norms grow as a power of the eigenvalue while their  -norms are one.
References:
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 norms of eigenfunctions in the completely integrable case, Ann. Inst. Henri Poincare, 4 (2003), 343-368. MR 1985776 (2004g:58043)
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Additional Information:
Harold
Donnelly
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Email:
hgd@math.purdue.edu
DOI:
10.1090/S0002-9939-06-08613-8
PII:
S 0002-9939(06)08613-8
Received by editor(s):
October 18, 2004
Received by editor(s) in revised form:
December 9, 2005
Posted:
November 13, 2006
Additional Notes:
The author was partially supported by NSF Grant 0203070-DMS
Communicated by:
Mikhail Shubin
Copyright of article:
Copyright
2006,
American Mathematical Society
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