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Explore advanced mathematical concepts in this 57-minute lecture from the Hausdorff Center for Mathematics. Delve into the intricacies of the Rearrangement Lemma, examine the properties and applications of divided differences, and uncover the complexities of multivariate holomorphic functional calculus. Gain valuable insights into these sophisticated mathematical topics as presented by M. Lesch, enhancing your understanding of higher-level mathematical theory and its practical implications.