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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.
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Heat kernel estimates and Lp spectral theory of locally symmetric spaces, Jörg-Andreas Weber
- Jazyk
- Rok vydania
- 2007
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- Titul
- Heat kernel estimates and Lp spectral theory of locally symmetric spaces
- Jazyk
- anglicky
- Autori
- Jörg-Andreas Weber
- Vydavateľ
- Univ.-Verl. Karlsruhe
- Rok vydania
- 2007
- Väzba
- mäkká
- ISBN10
- 3866441088
- ISBN13
- 9783866441088
- Kategórie
- Skriptá a vysokoškolské učebnice
- Anotácia
- 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.