Cohomology of classes of symbols and classification of traces on corresponding classes of operators with non positive order [Elektronische Ressource] / vorgelegt von Carolina Neira Jimenez

Cohomology of classes of symbolsand classi cation of traces oncorresponding classes ofoperators with non positive orderDissertationzurErlangung des Doktorgrades (Dr. rer. nat.)derMathematisch-Naturwissenchaftlichen Fakult atderRheinischen Friedrich-Wilhelms-Universit at Bonnvorgelegt vonCarolina Neira Jimenezaus Bogota, KolumbienBonn, Juni 2010Angefertigt mit Genehmigung der Mathematisch-Naturwissenchaftlichen Fakult atder Rheinischen Friedrich-Wilhelms-Universit at Bonn1. Referent: Prof. Dr. Matthias Lesch (Bonn)2. Referent: Prof. Dr. Sylvie Paycha (Clermont-Ferrand)Tag der Promotion: 25. Juni 2010.Erscheinungsjahr: 2010.iiiAcknowledgementsThis thesis is a fruit of my staying in Bonn, and gave me immense opportu-nities which I deeply appreciate, to broaden my knowledge and to develop mypractice of mathematics. It also gave me the chance to share my life with manynice people to whom I would like to express my gratitude. I owe my deepestgratitude to God, his love and mercy give me the reason to live every day forhim. I would like to thank my scienti c advisor Matthias Lesch for all his pa-tience, his support and for all the time he spent sharing part of his profoundknowledge with me. I am heartily thankful for my co-advisor Sylvie Paycha,her encouragements, scienti c guidance and support ever since I have knownher and particularly during the preparation of the thesis.