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Heat kernel estimates and L p -spectral theory of locally symmetric spaces
Andreas Weber
2007
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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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Keywords
- Laplace-Beltrami-Operator
- Lokal symmetrischer Raum
- Lp-Raum
- Spektrum
- Wärmeleitungsgleichung
- Wärmeleitungskern
Links
DOI: 10.5445/KSP/1000005774Editions