A new duality transform

Research output: Contribution to journalArticlepeer-review


Abstract: Continuing our search for dualities in different classes of functions, which usually turn out to have an essentially unique form, depending on the class, we exhibit a natural class of functions for which there are exactly two different types of duality transforms. One is the well known Legendre transform, and the other is new. We study the new transform, give a simple geometric interpretation for it, and present some applications. To cite this article: S. Artstein-Avidan, V. Milman, C. R. Acad. Sci. Paris, Ser. I 346 (2008).
Original languageEnglish
Pages (from-to)1143-1148
Number of pages6
JournalComptes Rendus Mathematique
Issue number21/22
StatePublished - 1 Nov 2008


  • MATHEMATICAL transformations
  • DUALITY theory (Mathematics)
  • LEGENDRE'S functions
  • MATHEMATICAL functions


Dive into the research topics of 'A new duality transform'. Together they form a unique fingerprint.

Cite this