Manifolds with Cusps of Rank One : Spectral Theory and L2-Index Theorem
The manifolds investigated in this monograph are generalizations of (XX)-rank one locally symmetric spaces. In the first part of the book the author develops spectral theory for the differential Laplacian operator associated to the so-called generalized Dirac operators on manifolds with cusps of ran...
Gorde:
| Egile nagusia: | |
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| Formatua: | Livre numérique |
| Hizkuntza: | Anglais |
| Argitaratua: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Saila: | Lecture notes in mathematics
1244 |
| Gaiak: | |
| Sarrera elektronikoa: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Oharra: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Manifolds with cusps of rank one, spectral theory and L -index theorem, Werner Müller, 1987, Berlin, Springer-Verlag, 1 volume (IX-158 pages), Lecture notes in mathematics, 0-387-17696-9 • Manifolds with Cusps of Rank One, Texte imprimé, 9783662201480 |
Aurkibidea:
- Preliminaries
- Cusps of rank one
- The heat equation on the cusp
- The Neumann laplacian on the cusp
- Manifolds with cusps of rank one
- The spectral resolution of H
- The heat kernel
- The eisenstein functions
- The spectral shift function
- The L2-index of generalized dirac operators
- The unipotent contribution to the index
- The Hirzebruch conjecture.