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## Details

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 of eigenfunctions if the geodesic flow is ergodic.
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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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