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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Positive curvature and eigenfunctions of the Laplacian
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by Harold Donnelly PDF
Proc. Amer. Math. Soc. 136 (2008), 373-376 Request permission

Abstract:

Examples are given of noncompact Riemannian manifolds having nonnegative Ricci cuvature and infinitely many square integrable eigenfunctions for the Laplace operator.
References
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Additional Information
  • Harold Donnelly
  • Affiliation: Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
  • Received by editor(s): November 24, 2006
  • Published electronically: October 5, 2007
  • Additional Notes: This author was partially supported by NSF grant DMS-0504729
  • Communicated by: Mikhail Shubin
  • © Copyright 2007 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 136 (2008), 373-376
  • MSC (2000): Primary 58J50, 58J53
  • DOI: https://doi.org/10.1090/S0002-9939-07-09042-9
  • MathSciNet review: 2350426