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

• Auteur principal: Weber, Andreas (auth)
• Format: Électronique Chapitre de livre
• Langue: anglais
• Publié: KIT Scientific Publishing 2007
• Sujets: Laplace-Beltrami-Operator; Wärmeleitungskern; Lokal symmetrischer Raum; Spektrum
• Accès en ligne: 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...