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

Posted By: step778
Date: 29 May 2015 05:05:44
Heat kernel estimates and L p-spectral theory of locally symmetric spaces

Andreas Weber, "Heat kernel estimates and L p-spectral theory of locally symmetric spaces"
2006 | pages: 110 | ISBN: 3866441088 | PDF | 2 mb

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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