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Andreas Weber

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

AutorWeber, Andreas

VerlagUniversitätsverlag Karlsruhe, Karlsruhe

ISBN9783866441088

Veröffentlicht
am:
20.02.2007

Erscheinungs-
jahr
2007

VerfügbarkeitAktiv

Downloads:

Für Zitate bitte die folgende URL verwenden:
http://dx.doi.org/10.5445/KSP/1000005774

Abstract

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.