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André Martineau (born 14 May 1930 – 4 May 1972) was a French mathematician, specializing in mathematical analysis. Martineau studied at the
École Normale Supérieure École may refer to: * an elementary school in the French educational stages normally followed by secondary education Secondary education or post-primary education covers two phases on the International Standard Classification of Education sca ...
and received there, with
Laurent Schwartz Laurent-Moïse Schwartz (; 5 March 1915 – 4 July 2002) was a French mathematician. He pioneered the theory of distributions, which gives a well-defined meaning to objects such as the Dirac delta function. He was awarded the Fields Medal in ...
as supervisor, his Ph.D. with a thesis on analytic functionals and then worked for several years with Schwartz. Martineau became a professor at the University of Nice Sophia Antipolis. Shortly before his 42nd birthday, he died of cancer. His research deals with analysis in several complex variables, where he introduced Fourier-Borel transformations for analytic functionals. (For one complex variable this type of functional transformation was introduced by
Émile Borel Félix Édouard Justin Émile Borel (; 7 January 1871 – 3 February 1956) was a French mathematician and politician. As a mathematician, he was known for his founding work in the areas of measure theory and probability. Biography Borel was ...
.) Martineau was one of the early advocates of the theory of Sato's
hyperfunction In mathematics, hyperfunctions are generalizations of functions, as a 'jump' from one holomorphic function to another at a boundary, and can be thought of informally as distributions of infinite order. Hyperfunctions were introduced by Mikio Sat ...
s and gave lectures on this topic in Seminar Bourbaki during 1960–1961. According to Pierre Cartier, Martineau played a role in the development of the concept of schemes in algebraic geometry by means of a remark made to
Jean-Pierre Serre Jean-Pierre Serre (; born 15 September 1926) is a French mathematician who has made contributions to algebraic topology, algebraic geometry, and algebraic number theory. He was awarded the Fields Medal in 1954, the Wolf Prize in 2000 and the ...
. Consider a quotation from the year 2004: Martineau was an Invited Speaker at the
International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...
in 1962 in Stockholm with talk ''Croissance d'une fonction entiers de type exponentiel et supports des fonctionelles analytiques'' and in 1970 in
Nice Nice ( , ; Niçard: , classical norm, or , nonstandard, ; it, Nizza ; lij, Nissa; grc, Νίκαια; la, Nicaea) is the prefecture of the Alpes-Maritimes department in France. The Nice agglomeration extends far beyond the administrative c ...
with talk ''Fonctionelles analytiques''. His doctoral students include Henri Skoda. His son Jacques Martineau (born 1963) is a movie director and screenwriter.


Selected publications

* Oeuvre, Editions du CNRS 1977, 878 pages
Martineau ''Sur la topologie des espaces de fonctions holomorphes'', Mathematische Annalen, vol. 163, 1966, p. 62


See also

* Martineau's edge-of-the-wedge theorem


References

{{DEFAULTSORT:Martineau, Andre 1930 births 1972 deaths 20th-century French mathematicians Academic staff of Côte d'Azur University École Normale Supérieure alumni Nicolas Bourbaki