The module of unitarily invariant area measures
By Thomas Wannerer. 2012
52 citations recorded by the source corpus.
The hermitian analog of Aleksandrov's area measures of convex bodies is investigated. A characterization of those area measures which arise as the first variation of unitarily invariant valuations is established. General smooth area measures are shown to form a module over smooth valuations and the module of unitarily invariant area measures is described explicitly.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/4215c8b55d1d063077abe4d7d81ac76b3967b9d3
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In Applied Mathematics
- Thomas Wannerer
- Franz E. Schuster
- Daniel Hug
- A. Bernig
- Yiming Zhao
- Monika Ludwig
- Christoph Haberl
- Judit Abardia
In Geometry and Topology
- Thomas Wannerer
- Franz E. Schuster
- Daniel Hug
- A. Bernig
- Monika Ludwig
- Semyon Alesker
- Yiming Zhao
- Christoph Haberl
Citations in the corpus
- Kinematic formulas for tensor valuations (2014, background): “Algebraic structures on scalar valued valuations (product, convolution, AleskerFourier transform) play an important role in integral geometry, in particular in connection with intersectional and additive kinematic formulas [15, 16, 17, 18, 19, 49, 50].”
- Minkowski valuations and generalized valuations (2015, background): “These results in turn were critical for the tremendous progress in integral geometry of recent years (see [5, 16, 17, 20, 35, 66] and the references therein).”