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Dimension of the space of unitary equivariant translation invariant tensor valuations |
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| Authors: | K.J. Böröczky M. Domokos G. Solanes |
| Affiliation: | 1. Alfréd Rényi Institute of Mathematics, Reáltanoda u. 13-15, H-1053 Budapest, Hungary;2. CEU, Nádor u 9, H-1051 Budapest, Hungary;3. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain;4. Centre de Recerca Matemàtica, Campus de Bellaterra, 08193 Bellaterra, Spain |
| Abstract: | Following the work of Semyon Alesker in the scalar valued case and of Thomas Wannerer in the vector valued case, the dimensions of the spaces of continuous translation invariant and unitary equivariant tensor valuations are computed. In addition, a basis in the vector valued case is presented. |
| Keywords: | Unitary group Tensor valuations on convex bodies |
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