Jean-Pierre Kahane

Jean -Pierre Kahane ( born December 11, 1926 in Paris ) is a French mathematician.

Jean -Pierre Kahane attended the École normale supérieure and reached 1949 Agrégation. Until 1954 he worked at the Centre national de la recherche scientifique and then his doctorate with a dissertation Sur quelques problèmes d' unicite et de prolongement relatifs aux fonctions approchables par of sommes d' exponential in Szolem Mandelbrojt. Subsequently, he was a lecturer and then professor at the scientific Faktultät in Montpellier (1954-1961) and then taught until his retirement in 1994, at the University of Paris-Sud in Orsay. He was president of the Société mathématique de France (1972-1973) and President of the University Paris-Sud ( 1975-1978 ).

In 1982 he became a corresponding member of the Academie des Sciences, and was elected a full member in 1998. 1995 Picard Medal he was awarded. r Kahane's main areas of work were the function theory, the theory of Fourier series and the functional analysis, in particular the geometry of Banach spaces. The set of Gleason - Kahane - Żelazko, a sentence from the theory of Banach algebras, and the kahanesche contraction principle in the theory of bounded operators - are associated with his name.

In 1962 he gave a plenary lecture at the International Congress of Mathematicians in Stockholm ( Transformées de Fourier des fonctions sommables ). He is a Fellow of the American Mathematical Society.

Writings

  • Séries de Fourier absolument convergentes, results of mathematics and its applications, Volume 50, Springer Verlag 1970
  • With Raphaël Salem: Ensembles parfaits et séries trigonométriques, Hermann, 1963, 1994
  • Some random series of functions, Lexington, Massachusetts, DC Heath 1968, 2nd edition, Cambridge University Press 1985
  • Séries de Fourier aléatoires, Press de l ' Université de Montreal 1967
  • Publisher with AG Howson The Popularization of Mathematics, Cambridge University Press 1990
  • The series de Taylor au movement brownien, avec un apercu sur le retour, in Jean -Paul Pier Development of mathematics 1900-1950, Birkhäuser 1994
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