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...

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Bibliografische gegevens
Hoofdauteur: Weber, Andreas (auth)
Formaat: Elektronisch Hoofdstuk
Taal:Engels
Gepubliceerd in: KIT Scientific Publishing 2007
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Samenvatting: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.
Fysieke beschrijving:1 electronic resource (XII, 94 p. p.)
ISBN:KSP/1000005774
9783866441088
Toegang:Open Access