High - Dimensional Problems : Multivariate Linear Tensor Product Problems , Multivariate Numerical Integration , and Geometric Discrepancy

The articles are listed in the order of their appearance in the appendix. In the summary the mathematical background of the problems treated in this thesis is described, and the research articles are discussed in detail. of New South Wales in Sydney. I would like to thank the colleagues in these places for their hospitality. Furthermore, I would like to acknowledge support from the DFG under the grants SR7/10-1, GN91/1-1, GN91/2-1, and GN91/3-1. Last, but not least I would like to thank my collaborators for many inspiring discussions and for the work they contributed to the articles collected in this thesis.