Hangzhou lectures on eigenfunctions of the Laplacian /
Author / Creator: | Sogge, Christopher D. (Christopher Donald), 1960- author. |
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Imprint: | Princeton, New Jersey : Princeton University Press, 2014. |
Description: | x, 193 pages ; 26 cm. |
Language: | English |
Series: | Annals of mathematics studies ; number 188 Annals of mathematics studies ; no. 188. |
Subject: | |
Format: | Print Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/9962332 |
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. Sogge shows that there is quantum ergodicity of eigenfunctions if the geodesic flow is ergodic. |
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Physical Description: | x, 193 pages ; 26 cm. |
Bibliography: | Includes bibliographical references (pages 185-189) and index. |
ISBN: | 9780691160757 0691160759 9780691160788 0691160783 |