The ghosts of the Ecole Normale. Life, death and legacy of René Gateaux

Details The ghosts of the Ecole Normale. Life, death and legacy of René Gateaux The ghosts of the Ecole Normale. Life, death and legacy of René Gateaux

2007-01-17

arxiv.org/abs/math/0701490v2

Mathematics

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Scientific paper

The present paper deals with the life and some aspects of the scientific contributions of the mathematician Ren\'e Gateaux, killed during World War 1 at the age of 25. Though he died very young, he left interesting results in functional analysis. In particular, he was among the first to try to construct an integral over an infinite dimensional space. His ideas were extensively developed later by Paul L\'evy. Among other things, L\'evy interpreted Gateaux's integral in a probabilistic framework that later contributed to the construction of the Wiener measure. This article tries to explain this singular personal and professional destiny in pre- and postwar France.

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