Dimension of the space of unitary equivariant translation invariant tensor valuations

K. J. Böröczky*, M. Domokos, G. Solanes

*Corresponding author for this work

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

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.

Original languageEnglish
Article number108862
Number of pages18
JournalJournal of Functional Analysis
Volume280
Issue number4
DOIs
Publication statusPublished - 15 Feb 2021

Keywords

  • Tensor valuations on convex bodies
  • Unitary group

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