2 citations · 4 across the 5 of their papers we have counts for
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General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski Problem I
Richard J. Gardner, Daniel Hug, Wolfgang Weil +2
The general volume of a star body, a notion that includes the usual volume, the th dual volumes, and many previous types of dual mixed volumes, is introduced. A corresponding ne…
Grassmann measures of convex bodies
Wolfgang Weil
Flag measures are descriptors of convex bodies in -dimensional Euclidean space generalizing the classical area measures. They have been used to provide general integral form…
Kinematic formulas for area measures
Paul Goodey, Daniel Hug, Wolfgang Weil
We obtain a Principal Kinematic Formula and a Crofton Formula for surface area measures of convex bodies, both involving linear operators on the vector space of signed measures on…
A flag representation of projection functions
Paul Goodey, Wolfram Hinderer, Daniel Hug +2
The th projection function of a convex body is a function on the Grassmannian which measures the -dimensional volume…
The Orlicz-Brunn-Minkowski theory: A general framework, additions, and inequalities
Richard J. Gardner, Daniel Hug, Wolfgang Weil
The Orlicz-Brunn-Minkowski theory, introduced by Lutwak, Yang, and Zhang, is a new extension of the classical Brunn-Minkowski theory. It represents a generalization of the -Br…