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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
- Language
- Released
- 2007
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- (Paperback)
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- Title
- Heat kernel estimates and Lp spectral theory of locally symmetric spaces
- Language
- English
- Authors
- Jörg-Andreas Weber
- Publisher
- Univ.-Verl. Karlsruhe
- Released
- 2007
- Format
- Paperback
- ISBN10
- 3866441088
- ISBN13
- 9783866441088
- Category
- University and college textbooks
- Description
- 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.