Hangzhou lectures on eigenfunctions of the Laplacian / Christopher D. Sogge.

Format:

Book

Author/Creator:

Sogge, Christopher D. (Christopher Donald), 1960- author.

Series:

Annals of mathematics studies ; no. 188.

Annals of mathematics studies ; number 188

Language:

English

Subjects (All):

Laplacian operator.

Eigenfunctions.

Physical Description:

x, 193 pages ; 26 cm.

Other Title:

Eigenfunctions of the Laplacian

Place of Publication:

Princeton, New Jersey : Princeton University Press, 2014.

Summary:

Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition into the twenty-first century as Princeton University Press publishes the major works of the new millennium. To mark the continued success of the series, all books are again available in paperback. For a complete list of titles, please visit the Princeton University Press web site: www.press.princeton.edu. The most recently published volumes include: Chow Rings, Decomposition of the Diagonal, and the Topology of Families, Claire Voisin, Spaces of PL Manifolds and Categories of Simple Maps, Friedhelm Waldhausen, Bjørn Jahren, and John Rognes, Degenerate Diffusion Operators Arising in Population Biology, Charles L. Epstein and Rafe Mazzeo, The Gross-Zagier Formula on Shimura Curves, Xinyi Yuan, Shou-wu Zhang, and Wei Zhang, Mumford-Tate Groups and Domains: Their Geometry and Arithmetic, Mark Green, Phillip A. Griffiths, and Matt Kerr, The Decomposition of Global Conformal Invariants, Spyros Alexakis, Some Problems of Unlikely Intersections in Arithmetic and Geometry, Umberto Zannier, Convolution and Equidistribution: Sato-Tate Theorems for Finite-Field Mellin Transforms, Nicholas M. Katz, Fréchet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces, Joram Lindenstrauss, David Preiss, and Jaroslav Tiser, The Ambient Metric, Charles Fefferman and C. Robin Graham, Hypoelliptic Laplacian and Orbital Integrals, Jean-Michel Bismut, Computational Aspects of Modular Forms and Galois Representations: How One Can Compute in Polynomial Time the Value of Ramanujan's Tail at a Prime, edited by Bas Edixhoven & Jean-Marc Couveignes, Weyl Group Multiple Dirichlet Series: Type A Combinatorial Theory, Ben Brubaker, Daniel Bump, and Solomon Friedberg Book jacket.

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.

Notes:

Includes bibliographical references (pages 185-189) and index.

ISBN:

9780691160757

0691160759

9780691160788

0691160783

OCLC:

857234298