Characterizing discrete time function spaces [Elektronische Ressource] / Marie Wild

Technische Universit¨at Munc¨ henZentrum MathematikCharacterizing Discrete-Time FunctionSpacesMarie WildVollst¨andiger Abdruck der von der Fakult¨at fur¨ Mathematik der TechnischenUniversit¨at Mun¨ chen zur Erlangung des akademischen Grades einesDoktors der Naturwissenschaften (Dr.rer.nat.)genehmigten Dissertation.Vorsitzender: Univ.-Prof. Dr. Michael UlbrichPrufer¨ der Dissertation: 1. Priv.-Doz. Dr. Hartmut Fuhr¨2. Univ.-Prof. Dr. Rupert Lasser3. Prof. Dr. Rodolfo H. Torres,University of Kansas / USA(schriftliche Beurteilung)Die Dissertation wurde am 30. Ma¨rz 2006 bei der Technischen Universit¨ateingereicht und durch die Fakult¨at fur¨ Mathematik am 17. Juli 2006 angenommen.2PrefaceThis thesis was carried out at the GSF Institute of Biomathematics and Biometry(IBB), Neuherberg, under the supervision of PD Dr. Hartmut Fuhr,¨ whom I wantto thank first and foremost. Without his help and encouragement, this work wouldnot have been possible.IwanttothankallthecolleaguesattheIBB,especiallytheheadofthegroup‘Math-ematical Modelling in Ecology and the Biosciences’, Prof. Dr. Gerhard Winkler,and the head of the institute, Prof. Dr. Rupert Lasser, for their support.Last but not least many thanks to my parents and all of my friends –Dominik, min¨a rakastan sinua.Munich, March 2006 Marie WildFrom May 2002 to July 2005, the thesis was funded by the GSF and from August2005 to March 2006 by the Munich University of Technology.