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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Bibliographic Details
Main Author: Taherkhani, Farnaz.
Format: Others
Language:en
Published: McGill University 2006
Subjects:
Online Access:http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=99208