Minkowski valuations and generalized valuations
Journal of the European Mathematical Society, Tome 20 (2018) no. 8, pp. 1851-1884
Voir la notice de l'article provenant de la source EMS Press
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.
Classification :
52-XX, 43-XX, 53-XX
Keywords: Minkowski valuations, generalized valuations, kinematic formula, Crofton formula
Keywords: Minkowski valuations, generalized valuations, kinematic formula, Crofton formula
@article{JEMS_2018_20_8_a1,
author = {Franz E. Schuster and Thomas Wannerer},
title = {Minkowski valuations and generalized valuations},
journal = {Journal of the European Mathematical Society},
pages = {1851--1884},
publisher = {mathdoc},
volume = {20},
number = {8},
year = {2018},
doi = {10.4171/jems/801},
url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/801/}
}
TY - JOUR AU - Franz E. Schuster AU - Thomas Wannerer TI - Minkowski valuations and generalized valuations JO - Journal of the European Mathematical Society PY - 2018 SP - 1851 EP - 1884 VL - 20 IS - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4171/jems/801/ DO - 10.4171/jems/801 ID - JEMS_2018_20_8_a1 ER -
Franz E. Schuster; Thomas Wannerer. Minkowski valuations and generalized valuations. Journal of the European Mathematical Society, Tome 20 (2018) no. 8, pp. 1851-1884. doi: 10.4171/jems/801
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