Heat kernel estimates and L^p-spectral theory of locally symmetric spaces

Beschreibung

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.
Printing on Demand. Kostenloser Download über den Verlagsserver unter der URL http://www.uvka.de/univerlag/volltexte/2007/198/

Autor*in

Andreas Weber

Themen in »Heat kernel estimates and L^p-spectral theory of locally symmetric spaces«

Wärmeleitungskern Spektrum Mathematik Lokal symmetrischer Raum Laplace-Beltrami-Operator

Stimmen zu »Heat kernel estimates and L^p-spectral theory of locally symmetric spaces«

Details

Link teilen