01472nam 2200337z- 450 991034694320332120231214133247.01000005774(CKB)4920000000101090(oapen)https://directory.doabooks.org/handle/20.500.12854/49172(EXLCZ)99492000000010109020202102d2007 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierHeat kernel estimates and L p -spectral theory of locally symmetric spacesKIT Scientific Publishing20071 electronic resource (XII, 94 p. p.)3-86644-108-8 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.Laplace-Beltrami-OperatorWärmeleitungskernLokal symmetrischer RaumSpektrumWeber Andreasauth779718BOOK9910346943203321Heat kernel estimates and L p -spectral theory of locally symmetric spaces3022912UNINA