자료유형 | E-Book |
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개인저자 | Sogge, Christopher D. (Christopher Donald), 1960-, author. |
서명/저자사항 | Hangzhou lectures on eigenfunctions of the Laplacian /Christopher D. Sogge. |
형태사항 | 1 online resource (x, 193 pages). |
총서사항 | Annals of mathematics studies ;number 188 |
소장본 주기 | eBooks on EBSCOhostAll EBSCO eBooks |
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 |
기타형태 저록 | Print version:Sogge, Christopher D. (Christopher Donald), 1960-Hangzhou lectures on eigenfunctions of the Laplacian.Princeton, New Jersey : Princeton University Press, 20149780691160757 |
대출바로가기 | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=663526 |
인쇄
No. | 등록번호 | 청구기호 | 소장처 | 도서상태 | 반납예정일 | 예약 | 서비스 | 매체정보 |
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1 | WE00007525 | 515/.3533 | 가야대학교/전자책서버(컴퓨터서버)/ | 대출가능 |