Heat kernel estimates and L_1hnp spectral theory of locally symmetric spaces [Elektronische Ressource] / von Andreas Weber

Andreas WeberpHeat Kernel Estimates and L -Spectral Theory of Locally Symmetric Spaces Heat Kernel Estimates and pL -Spectral Theory of Locally Symmetric Spacesvon Andreas WeberDissertation, Universität Karlsruhe (TH), Fakultät für Mathematik, 2006ImpressumUniversitätsverlag Karlsruhec/o UniversitätsbibliothekStraße am Forum 2D-76131 Karlsruhewww.uvka.deDieses Werk ist unter folgender Creative Commons-Lizenz lizenziert: http://creativecommons.org/licenses/by-nc-nd/2.0/de/Universitätsverlag Karlsruhe 2007 Print on DemandISBN: 978-3-86644-108-0Heat Kernel Estimatespand L -Spectral Theoryof Locally Symmetric SpacesZur Erlangung des akademischen Grades einesDOKTORS DER NATURWISSENSCHAFTENvon der Fakult¨at fur¨ Mathematik derUniversit¨at Karlsruhe (TH)genehmigteDISSERTATITONvonDipl.-Math. Andreas Weberaus GernsbachTag der mund¨ lichen Prufung:¨ 06. Dezember 2006Referent: Prof. Dr. Enrico LeuzingerKorreferent: HDoz. Dr. Peer C. KunstmannKarlsruhe2006PrefaceDuring the time I was working on this dissertation many people supported me.MysupervisorE.Leuzingersharedwithmemuchofhisknowledgeaboutthegeom-etryoflocallysymmetricspaces. Inourregulardiscussionshenotonlymademanysuggestions concerning my thesis but also motivated and encouraged me when Iwas stuck. Moreover, he supported me in my application for the Clay SummerSchool 2005 on “Ricci Flow, 3-Manifolds and Geometry” at the MSRI in Berkeley,USA.