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

• Main Author: Weber, Andreas (auth)
• Format: Electronic Book Chapter
• Language: English
• Published: KIT Scientific Publishing 2007
• Subjects: Laplace-Beltrami-Operator; Wärmeleitungskern; Lokal symmetrischer Raum; Spektrum
• Online Access: DOAB: download the publication; DOAB: description of the publication

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...