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Journal of Convex Analysis 23 (2016), No. 1, 005--022
Copyright Heldermann Verlag 2016

Jean Jacques Moreau. A Selected Review of his Mathematical Works

Lionel Thibault
IMAG, Université Montpellier 2, Place Eugène Bataillon, 34095 Montpellier, France

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.

Keywords: Biographical review, Jean Jacques Moreau, convex analysis, mechanical systems, sweeping process, differential inclusion, conjugate function.

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