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 establishments (collège and lycée) * École (river), a tributary of the Seine flowing in région Île-de-France * École, Savoi ...

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 The University of Nice Sophia Antipolis (french: Université Nice Sophia Antipolis) was a university located in Nice, France and neighboring areas. It was founded in 1965 and was organized in eight faculties, two autonomous institutes and an eng ...

. 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 A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Math ...

.) 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 Sato ...

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 ina ...

. 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 Henri Skoda (born 1945) is a French mathematician, specializing in the analysis of several complex variables. Skoda studied from 1964 at l'École normale supérieure and received there in 1967 his agrégation in mathematics. He received in 1972 ...

. His son

Jacques Martineau Jacques Martineau (born 8 July 1963) is a French film director and screenwriter who works in collaboration with partner Olivier Ducastel. Life and career After spending his adolescence in Nice, Martineau moved to Paris to study at the Ecole N ...

(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

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

Selected publications

See also

References