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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.
Umfang: XII, 94 S.
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Weber, A. 2007. Heat kernel estimates and L p -spectral theory of locally symmetric spaces. Karlsruhe: KIT Scientific Publishing. DOI: https://doi.org/10.5445/KSP/1000005774
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Veröffentlicht am 20. Februar 2007
Englisch
107
| Paperback | 978-3-86644-108-8 |