Heat kernel estimates and L p -spectral theory of locally symmetric spaces
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.
Keywords
Laplace-Beltrami-Operator; Wärmeleitungskern; Lokal symmetrischer Raum; SpektrumISBN
9783866441088Publisher
KIT Scientific PublishingPublisher website
http://www.ksp.kit.edu/Publication date and place
2007Classification
Mathematics & science