Georges Jean Marie Valiron (7 September 1884 – 17 March 1955) was a French

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...

, notable for his contributions to

analysis Analysis ( : analyses) is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (38 ...

, in particular, the asymptotic behaviour of entire functions of finite order and

Tauberian theorems In mathematics, Abelian and Tauberian theorems are theorems giving conditions for two methods of summing divergent series to give the same result, named after Niels Henrik Abel and Alfred Tauber. The original examples are Abel's theorem showing tha ...

Biography

Valiron obtained his

Ph.D. A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is ...

from the

University of Paris , image_name = Coat of arms of the University of Paris.svg , image_size = 150px , caption = Coat of Arms , latin_name = Universitas magistrorum et scholarium Parisiensis , motto = ''Hic et ubique terrarum'' (Latin) , mottoeng = Here and a ...

in 1914, under supervision of

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 ...

. Since 1922 he held a professorship at the

University of Strasbourg The University of Strasbourg (french: Université de Strasbourg, Unistra) is a public research university located in Strasbourg, Alsace, France, with over 52,000 students and 3,300 researchers. The French university traces its history to the ea ...

, and since 1931 a chair at the

. He gave a plenary speech at the 1932

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 ...

Zürich Zürich () is the list of cities in Switzerland, largest city in Switzerland and the capital of the canton of Zürich. It is located in north-central Switzerland, at the northwestern tip of Lake Zürich. As of January 2020, the municipality has 43 ...

and was an invited speaker of the ICM in 1920 in Strasbourg 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 The National Order of the Legion of Honour (french: Ordre national de la Légion d'honneur), formerly the Royal Order of the Legion of Honour ('), is the highest French order of merit, both military and civil. Established in 1802 by Napoleon B ...

in 1954. One of Valiron's doctoral students,

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 ...

, went on to receive a

Fields Medal The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union (IMU), a meeting that takes place every four years. The name of the award ho ...

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 Sir Edward Foyle Collingwood LLD (17 January 1900 – 25 October 1970) was an English mathematician and scientist. He was a member of the Eglingham branch of a prominent Northumbrian family, the son of Col. Cuthbert Collingwood of the Lancashir ...

, preface by

William Henry Young William Henry Young FRS (London, 20 October 1863 – Lausanne, 7 July 1942) was an English mathematician. Young was educated at City of London School and Peterhouse, Cambridge. He worked on measure theory, Fourier series, differential ca ...

, 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 * with

Paul Appell Paul may refer to: *Paul (given name), a given name (includes a list of people with that name) *Paul (surname), a list of people People Christianity * Paul the Apostle (AD c.5–c.64/65), also known as Saul of Tarsus or Saint Paul, early Chri ...

: ''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, 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

* * {{DEFAULTSORT:Valiron, Georges 1884 births 1955 deaths 20th-century French mathematicians University of Paris alumni Academic staff of the University of Strasbourg Academic staff of the University of Paris Commandeurs of the Légion d'honneur Mathematical analysts Functional analysts

Biography

Publications

See also

References

External links