ENGLISH

Heat kernel estimates and Lp-spectral theory of locally symmetric spaces

By Andreas Weber

Book information

Publisher
KIT Scientific Publishing
Year
2007
ISBN
3866441088, 9783866441088
Language
english
Format
PDF
Filesize
1 MB (1394960 bytes)
Edition
disser., U.Karlsruhe
Pages
110\110
Library
Kolxo3
Scanned
yes
Time added
2009-07-20 03:45:11

Description

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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