Sharp asymptotics in Weyl's law
Let (M, g) be a closed n-dimensional Riemannian manifold with metric g and Laplace-Beltrami operator Delta. Let 0 = l20 < l21 < ... be the eigenvalues of Delta. For the spectral counting function N(t) = #{j, lambda j ≤ t}, we give a detailed proof of Hormander's theorem states that: Nt=vo...
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Format: | Others |
Language: | en |
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McGill University
2006
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Online Access: | http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=99208 |