Exceptional sequences of eigenfunctions for hyperbolic manifolds

Donnelly, Harold

doi:10.1090/S0002-9939-06-08613-8

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.

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