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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Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Princeton :
Princeton University Press,
2014.
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Colección: | Book collections on Project MUSE.
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Temas: | |
Acceso en línea: | Texto completo |
Sumario: | 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. |
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Descripción Física: | 1 online resource. |
ISBN: | 9781400850549 |