Georges Glaeser

This article is about the French mathematician Georges Glaeser. For the Austrian mathematician, see Georg Glaeser .

Georges Glaeser (* 1918 ; † 2002 ) was a French mathematician who dealt with analysis and mathematics didactics . He was director of the IREM (Institut de recherche sur l'enseignement des mathématiques) at the University of Strasbourg .

His father was the lawyer Léo Glaeser , originally from Riga , who was shot dead by the French militia in Rillieux-la-Pape with six other Jews on June 19, 1944 in retaliation for the murder of a Vichy state secretary by the Resistance. His brother is the film director Henri Glaeser (1929–2007).

Glaeser received his doctorate in 1957 from the University of Nancy under Laurent Schwartz ( Etude de certaines algebres Tayloriennes ).

He is known for Glaeser's theorem on continuity properties of the root function . Is of the class in an open set U of then is then exactly properly, when the first and second derivative to the zeros disappear f. ${\displaystyle f\ :\ U\rightarrow \mathbb {R} ^{+}}$ ${\displaystyle C^{2}}$ ${\displaystyle \mathbb {R} ^{n}}$ ${\displaystyle {\sqrt {f}}}$ ${\displaystyle C^{1}}$

He is also known for Glaeser's composition theorem, which specifies the conditions when a smooth function is the combination of two other smooth functions. It generalizes the main theorem of symmetric polynomials .

Fonts

• Mathematiques pour l'eleve professeur. Hermann, Paris 1971.
  • German translation by Ursula Drouillon: Mathematics for teachers in training and practice. Vieweg 1981.

Web links

• François Pluvinage: Georges Glaeser, In Memoriam. IREM, French, pdf

Individual evidence

1. ↑ Bernier Gildas: La Vie de Léo Glaeser , 2013 ( Memento of the original from March 17, 2014 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice.  
2. ↑ Georges Glaeser in the Mathematics Genealogy Project (English)
3. ^ Glaeser: Racine carrée d'une fonction différentiable. In: Ann. Inst. Fourier. Volume 13, 1963, pp. 203-210
4. ^ Jean Dieudonné : Sur un théorème de Glaeser. In: J. Analysis math. Volume 23, 1970, pp. 85-88
5. ^ Glaeser: Fonctions composées différentiables. In: Annals of Mathematics . Volume 77, 1963, pp. 193-209