Heat kernel estimates and L p -spectral theory of locally symmetric spaces
Weber, Andreas
Heat kernel estimates and L p -spectral theory of locally symmetric spaces - KIT Scientific Publishing 2007 - 1 electronic resource (XII, 94 p. p.)
Open Access
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.
Creative Commons
English
KSP/1000005774 9783866441088
10.5445/KSP/1000005774 doi
Laplace-Beltrami-Operator Wärmeleitungskern Lokal symmetrischer Raum Spektrum
Heat kernel estimates and L p -spectral theory of locally symmetric spaces - KIT Scientific Publishing 2007 - 1 electronic resource (XII, 94 p. p.)
Open Access
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.
Creative Commons
English
KSP/1000005774 9783866441088
10.5445/KSP/1000005774 doi
Laplace-Beltrami-Operator Wärmeleitungskern Lokal symmetrischer Raum Spektrum