LEADER 01472nam 2200337z- 450 001 9910346943203321 005 20231214133247.0 010 $a1000005774 035 $a(CKB)4920000000101090 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/49172 035 $a(EXLCZ)994920000000101090 100 $a20202102d2007 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aHeat kernel estimates and L p -spectral theory of locally symmetric spaces 210 $cKIT Scientific Publishing$d2007 215 $a1 electronic resource (XII, 94 p. p.) 311 $a3-86644-108-8 330 $aIn 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. 610 $aLaplace-Beltrami-Operator 610 $aWärmeleitungskern 610 $aLokal symmetrischer Raum 610 $aSpektrum 700 $aWeber$b Andreas$4auth$0779718 906 $aBOOK 912 $a9910346943203321 996 $aHeat kernel estimates and L p -spectral theory of locally symmetric spaces$93022912 997 $aUNINA