Heat kernel estimates and L p -spectral theory of locally symmetric spaces
In this work we derive upper Gaussian bounds for the heat kernel on locally symmetric spaces of non-compact type. Furthermore, we determine explicitly the Lp-spectrum of locally symmetric spaces M whose universal covering is a rank one symmetric space of non-compact type if either the fundamental gr...
| Format: | eBook |
|---|---|
| Language: | English |
| Published: |
KIT Scientific Publishing
2007
|
| Subjects: | |
| Online Access: | Open Access: DOAB: description of the publication Open Access: DOAB, download the publication |
| Summary: | In this work we derive upper Gaussian bounds for the heat kernel on locally symmetric spaces of non-compact type. Furthermore, we determine explicitly the Lp-spectrum of locally symmetric spaces M whose universal covering is a rank one symmetric space of non-compact type if either the fundamental group of M is small (in a certain sense) or if the fundamental group is arithmetic and M is non-compact. |
|---|---|
| Physical Description: | 1 online resource (XII, 94 p. p.) |
| ISBN: | 9783866441088 KSP/1000005774 |
| Access: | Open Access |