Hangzhou Lectures on Eigenfunctions of the Laplacian (AM-188) /

Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian manifolds. Christopher Sogge gives a proof of the sharp Weyl formula for the distribution of eigenvalues of Laplace-Beltrami operators, as well as an imp...

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Bibliographic Details
Main Author: Sogge, Christopher D. (Christopher Donald), 1960- (Author)
Format: Electronic eBook
Language:Inglés
Published: Princeton : Princeton University Press, 2014.
Series:Book collections on Project MUSE.
Subjects:
Laplacian operator.
Eigenfunctions.
MATHEMATICS > Differential Equations > Partial.
MATHEMATICS > Mathematical Analysis.
MATHEMATICS > Calculus.
Fonctions propres.
Laplacien.
Mathematik.
Mathematics.
Analysis.
Electronic books.
Online Access:Texto completo
Description
Summary:Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian manifolds. Christopher Sogge gives a proof of the sharp Weyl formula for the distribution of eigenvalues of Laplace-Beltrami operators, as well as an improved version of the Weyl formula, the Duistermaat-Guillemin theorem under natural assumptions on the geodesic flow. Sogge shows that there is quantum ergodicity of eigenfunctions if the geodesic flow is ergodic. Sogge begins with a treatment of the Hadamard parametrix before proving the first main result, the sharp Weyl formula.
Physical Description:1 online resource.
ISBN:9781400850549

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