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Jean Jacques Moreau. A selected review of his mathematical works. (English) Zbl 1341.46001

Summary: 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.

MSC:

46-03 History of functional analysis
26-03 History of real functions
34-03 History of ordinary differential equations
37-03 History of dynamical systems and ergodic theory
60-03 History of probability theory
70-03 History of mechanics of particles and systems
01A70 Biographies, obituaries, personalia, bibliographies

Biographic References:

Moreau, Jean Jacques
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