Abstract

The aim of this review is to analyze the impact of a personal list of selected mathematical contributions of Jean Jacques Moreau. I start with Legendre's transform, Mandelbrojt's transform and Fenchel's conjugate to come to the concept of Moreau and Rockafellar of the conjugate as a function defined on the whole topological dual space taking on values in the extended real line. Then I discuss a large number of Moreau's fundamental ideas in modern convex analysis.

Author information

Contact details are reproduced from the original publication and may be historical.

Keywords

  • Biographical review
  • Jean Jacques Moreau
  • convex analysis
  • mechanical systems
  • sweeping process
  • differential inclusion
  • conjugate function

Suggested citation

L. Thibault. “Jean Jacques Moreau. A Selected Review of his Mathematical Works.” Journal of Convex Analysis 23 (2016), No. 1, 5–22.

Copyright Heldermann Verlag 2016