Characterization of self-polar convex functions

Liran Rotem

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


In a work by Artstein-Avidan and Milman the concept of polarity is generalized from the class of convex bodies to the larger class of convex functions. While the only self-polar convex body is the Euclidean ball, it turns out that there are numerous self-polar convex functions. In this work we give a complete characterization of all rotationally invariant self-polar convex functions on R{double-struck} n.

Original languageEnglish (US)
Pages (from-to)831-838
Number of pages8
JournalBulletin des Sciences Mathematiques
Issue number7
StatePublished - Oct 2012


  • Convexity
  • Polarity

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