The Abel Prize pp 243-270 | Cite as

Carleson for Beginners

  • Tom KörnerEmail author
Part of the The Abel Prize book series (AP)


When I was just beginning as a research student, an older mathematical friend invited me to dine at Trinity. At dessert I was seated next to Littlewood, Hardy’s collaborator and a legendary figure in modern British analysis. With old fashioned politeness, Littlewood set himself out to entertain me. He talked about a recent comet and recalled how fifty years earlier he had viewed Halley’s comet in company with a Trinity fellow who had himself seen its previous visitation. He then spoke about Carleson’s recent proof of the convergence theorem, what a marvellous result it was, how surprising it was that it turned out that Lusin’s conjecture was true, how many people known to him had thought about the problem for a long time without success and how much he regretted being too old to take up the task of understanding the details of the proof.

Mathematics Subject Classification (2000)

00-02 00A15 01A70 


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  1. 1.
    Bari, M.K.: A Treatise on Trigonometric Series. Pergamon, Elmsford (1964). (Two volumes, English translation) Google Scholar
  2. 2.
    Klein, F.: Development of Mathematics in the Nineteenth Century. Math. Sci. Press, Brookline (1979) (English translation by M. Ackerman) Google Scholar
  3. 3.
    Zygmund, A.: Trigonometric Series, vol. I, 2nd. ed. Cambridge Univ. Press, New York (1959) zbMATHGoogle Scholar
  4. 4.
    Actes du Congrès International des Mathématiciens, 1970, Nice. Gauthier–Villars, Paris (1971) Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Department of Pure Mathematics and Mathematical Statistics, Centre for Mathematical SciencesUniversity of CambridgeCambridgeUK

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