Heat kernel estimates and L p-spectral theory of locally...

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

Name: Heat kernel estimates and L p-spectral theory of locally symmetric spaces
ISBN: 9783866441088

Andreas Weber

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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.

類別:

Mathematics

年:

2007

出版商:

KIT Scientific Publishing

語言:

english

頁數:

110

ISBN 10:

3866441088