TY - BOOK ID - 100238481 TI - Heat kernel estimates and L p -spectral theory of locally symmetric spaces PY - 2007 SN - 1000005774 3866441088 PB - KIT Scientific Publishing DB - UniCat KW - Laplace-Beltrami-Operator KW - Wärmeleitungskern KW - Lokal symmetrischer Raum KW - Spektrum UR - https://www.unicat.be/uniCat?func=search&query=sysid:100238481 AB - 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. ER -