Sogge, Christopher D.
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자료유형 | E-BOOK |
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서명/저자사항 | Hangzhou lectures on eigenfunctions of the Laplacian [electronic resource]/ Christopher D. Sogge. |
개인저자 | Sogge, Christopher D.(Christopher Donald), 1960- author, |
발행사항 | Princeton: Princeton University Press, 2014. |
형태사항 | 1 online resource (x, 193 pages). |
총서사항 | Annals of mathematics studies;number 188 |
기타형태 저록 | Print version: Sogge, Christopher D. (Christopher Donald), 1960- Hangzhou lectures on eigenfunctions of the Laplacian. Princeton, New Jersey : Princeton University Press, 2014 9780691160757 |
ISBN | 9781400850549 1400850541 9781306375061 1306375061 |
서지주기 | Includes bibliographical references (pages 185-189) and index. |
내용주기 | A review : the Laplacian and the d'Alembertian -- Geodesics and the Hadamard paramatrix -- The sharp Weyl formula -- Stationary phase and microlocal analysis -- Improved spectral asymptotics and periodic geodesics -- Classical and quantum ergodicity -- Appendix. |
요약 | 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 ... |
일반주제명 | Laplacian operator. Eigenfunctions. MATHEMATICS --Calculus. MATHEMATICS --Mathematical Analysis. MATHEMATICS --Differential Equations --Partial. Eigenfunctions. Laplacian operator. |
언어 | 영어 |
바로가기 | URL |
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