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    3. Heat kernel estimates and L p-spectral theory of locally symmetric spaces (Repost)

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

    Posted By: step778
    Date: 25 May 2018 08:38:45
    Heat kernel estimates and L p-spectral theory of locally symmetric spaces (Repost)

    Andreas Weber, "Heat kernel estimates and L p-spectral theory of locally symmetric spaces"
    2007 | pages: 110 | ISBN: 3866441088 | PDF | 1,3 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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