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Hangzhou lectures on eigenfunctions of the Laplacian

Author: Christopher D Sogge
Publisher: Princeton : Princeton University Press, 2014.
Series: Annals of mathematics studies, no. 188.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
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.  Read more...
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Document Type: Book
All Authors / Contributors: Christopher D Sogge
ISBN: 9780691160757 0691160759 9780691160788 0691160783
OCLC Number: 857234298
Notes: Contains the material taught during a series of lectures given at Zhejiang University in Hangzhou between 2010 and 2012.
Description: x, 193 pages ; 26 cm.
Contents: 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.
Series Title: Annals of mathematics studies, no. 188.
Other Titles: Lectures.
Responsibility: Christopher D. Sogge.

Abstract:

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  Read more...

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"The book is very well written... I would definitely recommend it to anybody who wants to learn spectral geometry."--Leonid Friedlander, Mathematical Reviews

 
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