Book SeriesetbMonograph

Spectral Theory in Riemannian Geometry

  • Olivier Lablée

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