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

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Format:
Book
Author/Creator:
Weber, Andreas
Language:
English
Physical Description:
1 online resource (XII, 94 p. p.)
Place of Publication:
KIT Scientific Publishing 2007
Language Note:
English
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.
ISBN:
1000005774

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