[2] His research deals with analysis in several complex variables, where he introduced Fourier-Borel transformations for analytic functionals.
Martineau was one of the early advocates of the theory of Sato's hyperfunctions and gave lectures on this topic in Seminar Bourbaki during 1960–1961.
[4] 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.
Their importance was first manifested in the pioneering work of André Martineau from about forty years ago.
[6]Martineau was an Invited Speaker at the International Congress of Mathematicians in 1962 in Stockholm with talk Croissance d'une fonction entiers de type exponentiel et supports des fonctionelles analytiques and in 1970 in Nice with talk Fonctionelles analytiques.