| Dewey Class |
516.3/62 |
| Titolo |
Eigenfunctions of the Laplacian on a Riemannian manifold / ([EBook] ) / Steve Zelditch. |
| Autore |
Zelditch, Steven, , 1953- |
| Other name(s) |
National Science Foundation (U.S.) |
| Pubblicazione |
Providence, Rhode Island : : Published for the Conference Board of the Mathematical Sciences by the American Mathematical Society, , [2017] |
| Physical Details |
1 online resource (xiv, 394 pages : illustrations) |
| Serie |
CBMS regional conference series in mathematics 2380-5668 ; ; 125 |
| ISBN |
9781470443443 (online) |
| Nota |
Based on the author's notes from his presentation at the NSF-CBMS Regional Conference in the Mathematical Sciences on Global Harmonic Analysis, held at University of Kentucky, June 20-24, 2011. |
| Published with support from the National Science Foundation. |
| Contents note |
Introduction: Geometric preliminaries: Main results: Model spaces of constant curvature: Local structure of eigenfunctions: Hadamard parametrics on Riemannian manifolds: Lagrangian distributions and Fourier integral operators: Small time wave group and Weyl asymptotics: Matrix elements: $L p$ norms: Quantum integrable systems: Restriction theorems: Nodal sets: Real domain: Eigenfunctions in the complex domain: |
| Mode of acces to digital resource |
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2017 |
| Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). |
| Internet Site |
https://www.ams.org/cbms/125 |
| Vedi Anche |
https://doi.org/10.1090/cbms/125 |
| Link alle Opere Legate |
Riferimenti soggetto: .
Differential geometry -- Symplectic geometry, contact geometry -- Geodesic flows .
Eigenfunctions .
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 .
Laplacian operator .
Ordinary differential equations -- Ordinary differential operators -- Asymptotic distribution of eigenvalues, asymptotic theory of 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 .
Partial differential equations -- Spectral theory and eigenvalue problems -- Asymptotic distribution of eigenvalues and eigenfunctions .
Riemannian manifolds .
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