Title: Eigenfunctions of the Laplacian on a Riemannian Manifold
Subjects: Riemannian manifolds, Eigenfunctions, Laplacian operator, Ordinary differential equations -- Ordinary differential operators -- Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions, Partial differential equations -- Spectral theory and eigenvalue problems -- Asymptotic distribution of eigenvalues and eigenfunctions, Partial differential equations -- Elliptic equations and systems -- Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation, Partial differential equations -- Hyperbolic equations and systems -- Wave equation, Differential geometry -- Symplectic geometry, contact geometry -- Geodesic flows, Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Pseudodifferential and Fourier integral operators on manifolds, Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Spectral problems; spectral geometry; scattering theory