Hangzhou Lectures on Eigenfunctions of the Laplacian (AM-188) / / Christopher D. Sogge.
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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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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| VerfasserIn: | |
| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2014] ©2014 |
| Year of Publication: | 2014 |
| Edition: | Course Book |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
188 |
| Online Access: | |
| Physical Description: | 1 online resource (208 p.) :; 1 line illus. |
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Table of Contents:
- Frontmatter
- Contents
- Preface
- 1. A review: The Laplacian and the d'Alembertian
- 2. Geodesics and the Hadamard parametrix
- 3. The sharp Weyl formula
- 4. Stationary phase and microlocal analysis
- 5. Improved spectral asymptotics and periodic geodesics
- 6. Classical and quantum ergodicity
- Appendix
- Notes
- Bibliography
- Index
- Symbol Glossary