JournalsjemsVol. 20, No. 8pp. 1851–1884

Minkowski valuations and generalized valuations

  • Franz E. Schuster

    Vienna University of Technology, Austria

  • Thomas Wannerer

    Friedrich-Schiller-Universität Jena, Germany
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Abstract

A convolution representation of continuous translation-invariant and SO-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.

Cite this article

Franz E. Schuster, Thomas Wannerer, Minkowski valuations and generalized valuations. J. Eur. Math. Soc. 20 (2018), no. 8, pp. 1851–1884

DOI 10.4171/JEMS/801