TY - GEN AU - Weber,Andreas TI - Heat kernel estimates and L p -spectral theory of locally symmetric spaces SN - KSP/1000005774 PY - 2007/// PB - KIT Scientific Publishing KW - Laplace-Beltrami-Operator KW - Wärmeleitungskern KW - Lokal symmetrischer Raum KW - Spektrum N1 - Open Access N2 - 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 UR - https://www.ksp.kit.edu/9783866441088 UR - https://directory.doabooks.org/handle/20.500.12854/49172 ER -