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

โœ Scribed by Andreas Weber

Book ID
127451104
Year
2007
Tongue
English
Weight
2 MB
Category
Library
ISBN-13
9783866441088

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

Heat kernel estimates and Lp-spectral th
Heat kernel estimates and Lp-spectral theory of locally symmetric spaces
โœ Andreas Weber ๐Ÿ“‚ Library ๐Ÿ“… 2007 ๐ŸŒ English โš– 1 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 gr