This article needs additional citations for verification. (March 2024) |
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]
Georges Valiron | |
|---|---|
| Born | Georges Jean Marie Valiron 7 September 1884 |
| Died | 17 March 1955 (aged 70) |
| Alma mater | University of Paris |
| Known for | Valiron's theorem |
| Awards | Prix Poncelet (1948) |
| Scientific career | |
| Fields | Mathematics |
| Institutions | University of Paris University of Strasbourg |
| Doctoral advisor | Émile Borel |
| Doctoral students | Charles Blanc Paul Germain Jean Kuntzmann Laurent Schwartz |
Biography
editValiron 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 gave a plenary speech at the 1932 International Congress of Mathematicians in Zürich and was an invited speaker of the ICM in 1920 in Strasbourg[2] and in 1928 in Bologna. 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
edit- 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[3]
- 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,[4] 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
See also
editReferences
edit- ^ Milloux, H. (1956). "Georges Valiron (1884-1954)". L'Enseignement Mathématique. 2. Archived from the original on 2012-03-24.
- ^ "Sur la théorie des fonctions entières par G. Valiron" (PDF). Compte rendu du Congrès international des mathématiciens tenu à Strasbourg du 22 au 30 Septembre 1920. 1921. pp. 323–328. Archived from the original (PDF) on 2017-08-09. Retrieved 2017-10-29.
- ^ Walsh, J. L. (1941). "Review, Georges Valiron, Sur les Valeurs Exceptionnelles des Fonctions Méromorphes et de Leurs Dérivées". Bull. Amer. Math. Soc. 47 (1): 7–8. doi:10.1090/s0002-9904-1941-07357-x.
- ^ Heins, Maurice (1947). "Review: Georges Valiron, Cours d'analyse mathématiques". Bull. Amer. Math. Soc. 53 (7): 736–738. doi:10.1090/s0002-9904-1947-08841-8.