Book Review: Hangzhou lectures on eigenfunctions of the Laplacian

DOI10.1090/BULL/1531zbMath1346.00021OpenAlexW2907038115MaRDI QIDQ2822850

Andrew Hassell

Publication date: 5 October 2016

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/bull/1531

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Dynamical aspects of measure-preserving transformations (37A05) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Elliptic equations on manifolds, general theory (58J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) External book reviews (00A17)

Related Items (1)

An improvement on eigenfunction restriction estimates for compact boundaryless Riemannian manifolds with nonpositive sectional curvature

Cites Work

• Concerning the \(L^ p\) norm of spectral clusters for second-order elliptic operators on compact manifolds
• Uniform distribution of eigenfunctions on compact hyperbolic surfaces
• The spectrum of positive elliptic operators and periodic bicharacteristics
• The spectral function of an elliptic operator
• Exponential Sums and Lattice Points III
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