Heat kernel estimates and L p -spectral theory of locally symmetric spaces

By: Material type: ArticleArticleLanguage: English Publication details: KIT Scientific Publishing 2007Description: 1 electronic resource (XII, 94 p. p.)ISBN:
  • KSP/1000005774
  • 9783866441088
Subject(s): Online resources: Summary: 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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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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