Even Minkowski Valuations
Franz E. Schuster, Thomas Wannerer
TL;DR
This paper introduces a new integral representation for smooth, translation-invariant, and rotation-equivariant even Minkowski valuations, providing explicit formulas and analyzing the action of Alesker's operators.
Contribution
It presents a novel integral representation for these valuations and connects it with existing descriptions, also exploring operator actions.
Findings
New integral representation of Minkowski valuations
Explicit formulas linking previous and new descriptions
Detailed analysis of Alesker's Hard Lefschetz operators
Abstract
A new integral representation of smooth translation invariant and rotation equivariant even Minkowski valuations is established. Explicit formulas relating previously obtained descriptions of such valuations with the new more accessible one are also derived. Moreover, the action of Alesker's Hard Lefschetz operators on these Minkowski valuations is explored in detail.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.