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Hangzhou Lectures on Eigenfunctions of the Laplacian (AM-188)
Christopher D. Sogge
€ 89.47
€ 67.97
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Description for Hangzhou Lectures on Eigenfunctions of the Laplacian (AM-188)
Paperback. Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian manifolds. It shows that there is quantum ergodicity of eigenfunctions if the geodesic flow is ergodic. Series: Annals of Mathematics Studies. Num Pages: 208 pages, 1 line illus. BIC Classification: PBKJ; PBMP. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 252 x 178 x 14. Weight in Grams: 446.
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. He avoids the use of Tauberian ... Read more
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. He avoids the use of Tauberian ... Read more
Product Details
Format
Paperback
Publication date
2014
Publisher
Princeton University Press
Condition
New
Series
Annals of Mathematics Studies
Number of Pages
208
Place of Publication
New Jersey, United States
ISBN
9780691160788
SKU
V9780691160788
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Christopher D. Sogge
Christopher D. Sogge is the J. J. Sylvester Professor of Mathematics at Johns Hopkins University. He is the author of Fourier Integrals in Classical Analysis and Lectures on Nonlinear Wave Equations.
Reviews for Hangzhou Lectures on Eigenfunctions of the Laplacian (AM-188)
"The book is very well written... I would definitely recommend it to anybody who wants to learn spectral geometry."
Leonid Friedlander, Mathematical Reviews
Leonid Friedlander, Mathematical Reviews