Spectral Theory in Riemannian Geometry
Olivier Lablée
Université Joseph Fourier Grenoble 1, Saint Martin d’Hères, France
A subscription is required to access this book.
| Frontmatter, AcknowledgementsDownload pp. i–v | |
| ContentsDownload pp. vii–ix | |
| 1 | Introduction to Spectral GeometryDownload pp. 1–6 |
| 2 | Detailed introduction to abstract spectral theorypp. 7–50 |
| 3 | The Laplacian on a compact Riemannian manifoldpp. 51–70 |
| 4 | Spectrum of the Laplacian on a compact manifoldpp. 71–105 |
| 5 | Direct problems in spectral geometrypp. 107–123 |
| 6 | Intermezzo: “Can one hear the holes of a drum?”pp. 125–137 |
| 7 | Inverse problems in spectral geometrypp. 139–176 |
| Bibliographypp. 177–183 | |
| Indexpp. 185–187 |