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August 2015 The Ghosts of the École Normale
Laurent Mazliak
Statist. Sci. 30(3): 391-412 (August 2015). DOI: 10.1214/15-STS512


The present paper deals with the life and some aspects of the scientific contributions of the mathematician René Gateaux, killed during World War I 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 Lévy. Among other things, Lévy 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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Laurent Mazliak. "The Ghosts of the École Normale." Statist. Sci. 30 (3) 391 - 412, August 2015.


Published: August 2015
First available in Project Euclid: 10 August 2015

zbMATH: 0915.58055
MathSciNet: MR3383887
Digital Object Identifier: 10.1214/15-STS512

Rights: Copyright © 2015 Institute of Mathematical Statistics


Vol.30 • No. 3 • August 2015
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