References for Torsten Carleman

  1. Biography in Svensk Uppslagsbok (Swedish Encyclopedia) (Swedish) (Malmö, 1947), 866. (first written by H Dalin and rewritten by N E Fremberg.)
  2. Biography in Bonniers Lexikon 3 (Swedish) (Stockholm, 1962), 73-74.
  3. Biography in A I Borodin and A S Bugai, Eminent mathematicians (Russian), (Kiev, 1987), 229.
  4. Biography in Nationalencyklopedin (Swedish) (Höganäs, 1990), 583.
  5. Biography in Lexicon of outstanding mathematicians (German) (Leipzig, 1990), 90. (written by A Vogt.)


  1. G H Hardy, J E Littlewood and G Pólya, Inequalities (Cambridge, 1934).
  2. N Wiener, I am a mathematician (Cambridge 1956).


  1. Edition complete of articles of Torsten Carleman (French) (Malmö: Mittag-Leffler Mathematical Institute, Djursholm, 1960).
  2. M Reed and B Simon, Methods of modern mathematical physics IV : Analysis of operators (New York, 1978).
  3. G Elfving, The history of mathematics in Finland 1828-1918 (Helsinki, 1981).
  4. Encyclopaedia of Mathematics 2 (Kluwer 1988), 25-26.
  5. K Kowalski and W-H Steeb, Nonlinear dynamical systems and Carleman linearization (World Scientific, 1991).
  6. L A Aizenberg, Carleman's formulas in complex analysis : theory and applications (Kluwer, 1993).
  7. L Garding, Mathematics and mathematicians : mathematics in Sweden before 1950 (Providence, R.I., 1997).
  8. S Björk, Tage Gillis Torsten Carleman (Swedish), in Svenska Män och Kvinnor (Swedish Men and Women), Biographical Encyclopaedia 2 (Stockholm, 1946), 18.
  9. F Carlson, Obituary : Torsten Carleman (French), Acta Math. 82 (1950), i-vi. (Reprinted as Torsten Carleman in [8].)
  10. M Frank, Ergodic theory in the 1930's : a study in international mathematical activity (manuscript, Jan 2000).
  11. L Garding, Swedish Mathematicians (Swedish), Elementa 4 (1987), 182-190.
  12. H J Heyman, Tage Gillis Torsten Carleman (Swedish), in Svensk Biografiskt Lexikon (Swedish Biographical Dictionary) 7 (Bonniers förlag, 1927), 389-390.
  13. History of the Mittag-Leffler Institute, WEB page at:
  14. A Jackson, The Dream of a Swedish Mathematician : The Mittag-Leffler Institute, Notices Amer. Math. Soc. 46 (9) (1999), 1050-1058.
  15. M Johansson, L E Persson and A Wedestig, Carleman's inequality - history, proofs and some new generalizations, J. Inequal. Pure Appl. Math. 4 (3) (2003), 1-19.
  16. C Kiselman, Generalized Fourier transformations : the work of Bochner and Carleman viewed in the light of the theories of Schwartz and Sato, in T Kawai and K Fujita (eds.), Microlocal Analysis and Complex Fourier Analysis (Singapore, 2002), 166-185.
  17. B Kjellberg, Mathematicians in Uppsala - some recollections (Swedish), in A Vretblad (ed.), Festschrift in honour of Lennart Carleson and Yngve Domar, Proc. Conf. at Dept. of Math., Uppsala Univ., May 1993 (Uppsala, 1995), 87-95.