Minkowski valuations and generalized valuations

By Franz E. Schuster, Thomas Wannerer. Journal of the European Mathematical Society (Print), 2015

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A convolution representation of continuous translation invariant and SO(n) equivariant Minkowski valuations is established. This is based on a new classification of translation invariant generalized spherical valuations. As applications, Crofton and kinematic formulas for Minkowski valuations are obtained.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/d9425fb99692f333e681ce97b38b871fd16c9b51