E-Books →Hangzhou Lectures on Eigenfunctions of the Laplacian

Christopher D. Sogge, "Hangzhou Lectures on Eigenfunctions of the Laplacian"
English | 2014 | pages: 208 | ISBN: 0691160759, 0691160783 | DJVU | 1,8 mb
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.