Biography:Frédéric Marty

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Short description: French mathematician

Frédéric Ladislas Joseph Marty (23 June 1911 in Albi, Tarn – 14 June 1940, Gulf of Finland)[1][2] was a French mathematician.

Frédéric Marty's father was the mathematician Joseph Marty (1885–1914), who taught at the lycée d'Albi and as a French army officer was killed in action in WW I.[3]

Frédéric Marty received his doctorate in 1931 from the École normale supérieure (ENS). After that he was a maître de conférences at Aix-Marseille University. He was a French Air Force lieutenant in WW II and was a victim of the Aero Flight 1631 shootdown when he was a diplomatic courier on board a Finnish plane that was shot down by the Soviet Air Force .

Frédéric Marty, who entered the ENS in 1928, wrote, between 1931 and 1937, several papers on the distribution of the values of a meromorphic function, algebraic functions, and coverings. He was one of the devotees of the Hadamard Seminar and he also wrote two talks for the Julia Seminar.[4]

Marty is known in the theory of normal families for Marty's theorem.[5][6] This theorem from his dissertation[7] states that for any family [math]\displaystyle{ F }[/math] of meromorphic functions, [math]\displaystyle{ F }[/math] is normal if and only if [math]\displaystyle{ F }[/math]'s derived family of spherical derivatives is locally bounded. Marty also founded[8] the theory of hypergroups and hyperstructures.[9] He was an invited speaker at the International Congress of Mathematics (ICM) 1936 in Oslo.[10]

References

  1. "Frédéric Marty (1911–1940)". https://data.bnf.fr/en/12392373/frederic_marty/. 
  2. "Frédéric Ladislas Joseph Marty (Entry in the database of members of the French army who died in the Second World War)". https://www.memoiredeshommes.sga.defense.gouv.fr/de/arkotheque/client/mdh/recherche_transversale/bases_nominatives_detail_fiche.php?fonds_cle=7&ref=1779151&debut=0. 
  3. "Joseph Marty, pages 12–16, Notices nécrologiques de normaliens morts à la guerre". https://www.presses.ens.fr/client/document/aubin_notices_834.pdf. 
  4. Audin, Michèle (30 January 2011). Fatou, Julia, Montel: The Great Prize of Mathematical Sciences of 1918, and Beyond. Springer Science & Business Media. p. 219. ISBN 978-3-642-17853-5. https://books.google.com/books?id=Iwho1f_2MbsC&pg=PA219. 
  5. Schiff, Joel L. (25 March 1993). "Section 3.3 Marty's Theorem". Normal Families. Springer Science & Business Media. p. 75. ISBN 978-0-387-97967-0. https://books.google.com/books?id=Nwz9BSHEidAC&pg=PA75. 
  6. Hayman, W. K. (1964). "Theorem 6.3". Meromorphic Functions. Oxford: Clarendon Press. 
  7. F. Marty: Recherches sur la répartition des valeurs d’une fonction méromorphe. Annales de la Faculté des Sciences de l’Université de Toulouse pour les Sciences Mathématiques et les Sciences Physiques. 3ième Série, volume 23 (1931), pp. 183–261; especially chapter I, § 2. Digitalisat\
  8. F. Marty: Sur une généralisation de la notion de groupe. Åttonde skandinaviska matematikerkongressen i Stockholm 14–18 augusti 1934. Comptes rendus du huitième congrès des mathématiciens scandinaves tenu à Stockholm 14–18 août 1934, pp. 45–49; F. Marty: Rôle de la notion d’hypergroupe dans l’étude des groupes non abeliens. Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris, volume 201 (1937), pp. 636–638; F. Marty: Sur les groupes et hypergroupes attachés à une fraction rationnelle. Annales Scientifiques de l’École Normale Supérieure. Troisième Série, volume 53 (1936), pp. 83–123
  9. See Piergiulio Corsini: History and new possible research directions of hyperstructures, Ratio Mathematica, vol. 21 (2011), pp. 3–26; online
  10. Marty, F.. "Sur la théorie du groupe fondamental". Comptes rendus du Congrès international des mathématiciens, Oslo 1936. Tome II. p. 126.