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Dissertation

Schnittvolumina hochdimensionaler konvexer Körper

This thesis deals with volumes of hyperplane sections of convex and star-shaped bodies. In the first part we study the extremal volumes of central hyperplane sections of unit balls in the space l_p^n(l_2^m) for all p ∈ (0,2] ∪ {∞} and m, n ∈ IN. To this end we give multiple formulas for volumes and...