Georges Valiron

Georges Jean Marie Valiron (7 September 1884 – 17 March 1955) was a French mathematician, notable for his contributions to analysis, in particular, the asymptotic behaviour of entire functions of finite order and Tauberian theorems.^[1]

Valiron obtained his Ph.D. from the University of Paris in 1914, under supervision of Émile Borel. Since 1922 he held a professorship at the University of Strasbourg, and since 1931 a chair at the University of Paris. He held a plenary speech at the 1932 International Congress of Mathematicians in Zürich. His treatise on mathematical analysis in two volumes (Théorie des fonctions and Équations fonctionnelles) is a classic and has been translated into numerous languages under diverse titles and has gone through many new editions, both French and non-French.

He was awarded the title Commander of the Legion of Honour in 1954. One of Valiron's doctoral students, Laurent Schwartz, went on to receive a Fields Medal in 1950.

Publications

• Sur les fonctions entières d'ordre nul et d'ordre fini, et en particulier sur les fonctions à correspondance régulière, thesis presented on 20 June 1914 to Valiron's thesis committee
• Lectures on the general theory of integral functions, translated into English by Edward Collingwood, preface by William Henry Young, 1923.
• Fonctions entières et fonctions méromorphes, Mémorial des sciences mathématiques 2, 1925.
• Théorie générale des séries de Dirichlet, Mémorial des sciences mathématiques 17, 1926.
• Familles normales et quasi-normales de fonctions méromorphes, Mémorial des sciences mathématiques 38, 1929.
• Fonctions convexes et fonctions entières, bulletin de la SMF, 1932.
• Sur les valeurs exceptionnelles des fonctions méromorphes et de leurs dérivées, 1937^[2]
• with Paul Appell: Analyse mathématique, 2 vols. 1938.
• Direction de Borel des fonctions méromorphes, Mémorial des sciences mathématiques 89, 1938.
• Cours d’analyse mathématiques. Masson 1942, 1945 (consisting of 2 vols.: Théorie des fonctions. 1942, Équations fonctionelles et applications. 1945,^[3] 2nd edn. 1950), Reprint by Masson 1966 and by the edition Jacques Gabay 1989
• Fonctions analytiques, 1954.
• Fonctions entières d'ordre fini et fonctions méromorphes, l'enseignement mathématique, 1960 (1st edn. 1948).
• The geometric theory of ordinary differential equations. Brookline, Massachusetts, 1984 (English trans. Cours d'analyse mathematiques)
• Classical differential geometry of curves and surfaces. Brookline, 1986

References

External links

• O'Connor, John J.; Robertson, Edmund F., "Georges Valiron", MacTutor History of Mathematics archive, University of St Andrews .
• Georges Valiron at the Mathematics Genealogy Project